Profil

MARICHAL Jean-Luc

University of Luxembourg > Faculty of Science, Technology and Medicine (FSTM) > Department of Mathematics (DMATH)

Main Referenced Co-authors
Roubens, Marc (33)
TEHEUX, Bruno  (29)
MATHONET, Pierre  (28)
COUCEIRO, Miguel  (22)
Couceiro, Miguel (21)
Main Referenced Keywords
Choquet integral (21); multicriteria decision making (19); functional equation (17); aggregation functions (15); aggregation function (13);
Main Referenced Unit & Research Centers
Mathematics Research Unit (7)
Mathematics Research Unit (FSTC) (5)
Department of Management (FEGSS) (4)
Applied Mathematics Unit (FDEF) (2)
Main Referenced Disciplines
Mathematics (266)
Quantitative methods in economics & management (135)
Computer science (55)
Civil engineering (23)
Electrical & electronics engineering (1)

Publications (total 270)

The most downloaded
2258 downloads
Waldhauser, T., Couceiro, M., & Marichal, J.-L. (19 July 2011). Agents in the shadow (cooperative games with non-cooperating players) [Paper presentation]. 7th Meeting on Game Theory (SING 7), Paris, France. https://hdl.handle.net/10993/9676

The most cited

320 citations (Scopus®)

Marichal, J.-L. (December 2000). An axiomatic approach of the discrete Choquet integral as a tool to aggregate interacting criteria. IEEE Transactions on Fuzzy Systems, 8 (6), 800-807. doi:10.1109/91.890347 https://hdl.handle.net/10993/1773

Marichal, J.-L., & Zenaïdi, N. (In press). A generalization of Bohr-Mollerup's theorem for higher order convex functions: A tutorial. Aequationes Mathematicae. doi:10.1007/s00010-023-00968-9
Peer Reviewed verified by ORBi

Kiss, G., & Marichal, J.-L. (21 February 2023). Nonstandard n-distances based on certain geometric constructions. Beiträge zur Algebra und Geometrie, 64 (1), 107-126. doi:10.1007/s13366-022-00623-5
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Marichal, J.-L., & Zenaïdi, N. (2022). A generalization of Bohr-Mollerup's theorem for higher order convex functions. Cham, Switzerland: Springer. doi:DOI:10.1007/978-3-030-95088-0_1

Couceiro, M., Devillet, J., Marichal, J.-L., & Mathonet, P. (March 2022). Reducibility of n-ary semigroups: from quasitriviality towards idempotency. Beiträge zur Algebra und Geometrie, 63 (1), 149-166. doi:10.1007/s13366-020-00551-2
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Devillet, J., Marichal, J.-L., & Teheux, B. (04 February 2020). Classifications of quasitrivial semigroups. Semigroup Forum, 100 (3), 743-764. doi:10.1007/s00233-020-10087-5
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Kiss, G., & Marichal, J.-L. (27 January 2020). On the best constants associated with n-distances. Acta Mathematica Hungarica, 161 (1), 341-365. doi:10.1007/s10474-020-01023-8
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Marichal, J.-L. (September 2019). On indefinite sums weighted by periodic sequences. Results in Mathematics, 74 (3), 95. doi:10.1007/s00025-019-1022-y
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Devillet, J., Kiss, G., & Marichal, J.-L. (2019). On idempotent n-ary uninorms. In V. Torra, Y. Narukawa, G. Pasi, ... M. Viviani (Eds.), Modeling Decisions for Artifical Intelligence (pp. 98-104). Cham, Switzerland: Springer. doi:10.1007/978-3-030-26773-5_9
Peer reviewed

Couceiro, M., Devillet, J., & Marichal, J.-L. (June 2019). Quasitrivial semigroups: characterizations and enumerations. Semigroup Forum, 98 (3), 472–498. doi:10.1007/s00233-018-9928-3
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Devillet, J., Couceiro, M., & Marichal, J.-L. (14 May 2019). Single-peakedness in aggregation function theory [Paper presentation]. Séminaire de Mathématiques Discrètes, Optimisation et Décision (MDOD), Paris, France.

Devillet, J., Marichal, J.-L., & Teheux, B. (03 March 2019). Characterizations and classifications of quasitrivial semigroups [Paper presentation]. 97th Workshop on General Algebra (AAA97), Vienna, Austria.

Devillet, J., Kiss, G., & Marichal, J.-L. (2019). Characterizations of idempotent n-ary uninorms. In 38th Linz Seminar on Fuzzy Set Theory.
Peer reviewed

Devillet, J., Kiss, G., & Marichal, J.-L. (February 2019). Characterizations of quasitrivial symmetric nondecreasing associative operations. Semigroup Forum, 98 (1), 154-171. doi:10.1007/s00233-018-9980-z
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Kiss, G., Marichal, J.-L., & Teheux, B. (03 July 2018). An n-ary generalization of the concept of distance [Paper presentation]. International Symposium on Aggregation and Structures (ISAS 2018), Valladolid, Spain. doi:10.1007/s13366-018-0379-5

Couceiro, M., Devillet, J., & Marichal, J.-L. (02 July 2018). Associative and quasitrivial operations on finite sets: characterizations and enumeration [Paper presentation]. International Symposium on Aggregation and Structures (ISAS 2018), Valladolid, Spain.

Kiss, G., Marichal, J.-L., & Teheux, B. (June 2018). A generalization of the concept of distance based on the simplex inequality. Beitraege zur Algebra und Geometrie = Contributions to Algebra and Geometry, 59 (2), 247–266. doi:10.1007/s13366-018-0379-5
Peer reviewed

Couceiro, M., Devillet, J., & Marichal, J.-L. (01 March 2018). Characterizations of idempotent discrete uninorms. Fuzzy Sets and Systems, 334, 60-72. doi:10.1016/j.fss.2017.06.013
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Marichal, J.-L., Mathonet, P., Navarro, J., & Paroissin, C. (01 December 2017). Joint signature of two or more systems with applications to multistate systems made up of two-state components. European Journal of Operational Research, 263 (2), 559-570. doi:10.1016/j.ejor.2017.06.022
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Marichal, J.-L., Couceiro, M., & Devillet, J. (10 November 2017). Associative and quasitrivial operations on finite sets (invited lecture) [Paper presentation]. 11th seminar “Ordered Structures in Games And Decision” (OSGAD), Centre d'Économie de la Sorbonne et Université Paris 1-Panthéon Sorbonne, Paris, France.

Devillet, J., Couceiro, M., & Marichal, J.-L. (25 October 2017). On quasitrivial and associative operations [Paper presentation]. Dean Seminar (Faculty of Mathematics, Computer Science, and Econometrics, University of Zielona Góra, Poland), Zielona Góra, Poland.

Devillet, J., Couceiro, M., & Marichal, J.-L. (03 October 2017). Enumerating quasitrivial semigroups [Paper presentation]. Séminaire de MAthématique et LOgique pour l'exTraction et le traitEment de Connaissances (MALOTEC), LORIA, CNRS - Inria Nancy Grand Est - Université de Lorraine, Nancy, France.

Couceiro, M., Devillet, J., & Marichal, J.-L. (2017). Sur les uninormes discrètes idempotentes. In M. Couceiro, J. Devillet, ... J.-L. Marichal, LFA 2017 - Rencontres francophones sur la logique floue et ses applications (pp. 125-130). Toulouse, France: Cépaduès-éditions.
Peer reviewed

Marichal, J.-L. (2017). Integer sequence #A292933.

Marichal, J.-L. (2017). Integer sequence #A292934.

Marichal, J.-L. (2017). Integer sequence #A292932.

Marichal, J.-L., & Mathonet, P. (August 2017). A classification of polynomial functions satisfying the Jacobi identity over integral domains. Aequationes Mathematicae, 91 (4), 601-618. doi:10.1007/s00010-017-0477-8
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Marichal, J.-L., Mathonet, P., Jorge, N., & Paroissin, C. (July 2017). Probability signatures of multistate systems made up of two-state components [Paper presentation]. 10th International Conference on Mathematical Methods in Reliability (MMR 2017), Grenoble, France.

Kiss, G., Devillet, J., & Marichal, J.-L. (16 June 2017). Recent results on conservative and symmetric n-ary semigroups [Paper presentation]. 55th Int. Symposium on Functional Equations (ISFE 55), Chengdu, China.

Devillet, J., Couceiro, M., & Marichal, J.-L. (16 June 2017). On conservative and associative operations on finite chains [Paper presentation]. 55th Int. Symposium on Functional Equations (ISFE 55), Chengdu, China.

Couceiro, M., Devillet, J., & Marichal, J.-L. (2017). On idempotent discrete uninorms. In B. De Baets, V. Torra (Ed.), ... R. Mesiar (Ed.), Aggregation Functions in Theory and in Practice (2018, pp. 147-153). Berlin, Germany: Springer. doi:10.1007/978-3-319-59306-7
Peer reviewed

Marichal, J.-L., & Teheux, B. (April 2017). On the generalized associativity equation. Aequationes Mathematicae, 91 (2), 265-277. doi:10.1007/s00010-016-0450-y
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Teheux, B., & Marichal, J.-L. (08 November 2016). Strongly barycentrically associative and preassociative functions [Paper presentation]. 10th seminar “Ordered Structures in Games And Decision” (OSGAD), Centre d'Économie de la Sorbonne et Université Paris 1-Panthéon Sorbonne, Paris, France.

Couceiro, M., Marichal, J.-L., & Teheux, B. (15 September 2016). Relaxations of associativity and preassociativity for variadic functions. Fuzzy Sets and Systems, 299, 89-97. doi:10.1016/j.fss.2015.11.003
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Kiss, G., Marichal, J.-L., & Teheux, B. (Eds.). (2016). International Symposium on Aggregation and Structures (ISAS 2016) - Book of abstracts. NA.

Kiss, G., Laczkovich, M., Marichal, J.-L., Somlai, G., & Teheux, B. (June 2016). A characterisation of associative idempotent nondecreasing functions with neutral elements [Paper presentation]. 54th International Symposium on Functional Equations, Hajdúszoboszló, Hungary.

Marichal, J.-L. (June 2016). Structure functions and minimal path sets. IEEE Transactions on Reliability, 65 (2), 763-768. doi:10.1109/TR.2015.2513017
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Marichal, J.-L., & Teheux, B. (01 May 2016). Strongly barycentrically associative and preassociative functions. Journal of Mathematical Analysis and Applications, 437 (1), 181-193. doi:10.1016/j.jmaa.2015.12.046
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Couceiro, M., Marichal, J.-L., & Teheux, B. (March 2016). Conservative median algebras and semilattices. Order: A Journal on the Theory of Ordered Sets and its Applications, 33 (1), 121-132. doi:10.1007/s11083-015-9356-x
Peer reviewed

Marichal, J.-L., & Teheux, B. (February 2016). A characterization of barycentrically preassociative functions. Results in Mathematics, 69 (1), 245-256. doi:10.1007/s00025-015-0501-z
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Kiss, G., Marichal, J.-L., & Teheux, B. (2016). An extension of the concept of distance as functions of several variables. In B. De Baets, R. Mesiar, S. Saminger-Platz, ... E. P. Klement (Eds.), 36th Linz Seminar on Fuzzy Set Theory (LINZ 2016) - Functional Equations and Inequalities (pp. 53-56).
Peer reviewed

Marichal, J.-L., & Teheux, B. (2016). The mathematics behind the property of associativity. In B. De Baets, R. Mesiar, S. Saminger-Platz, ... E. P. Klement (Eds.), 36th Linz Seminar on Fuzzy Set Theory (LINZ 2016) - Functional Equations and Inequalities (pp. 62-65).
Peer reviewed

Couceiro, M., Marichal, J.-L., & Teheux, B. (2015). Agrégation des valeurs médianes et fonctions compatibles pour la comparaison. In E. Lefèvre & A. Hadjali (Eds.), Rencontres francophones sur la logique floue et ses applications 2015 (pp. 163-168). Toulouse, France: Cépaduès-éditions.
Peer reviewed

Marichal, J.-L., Mathonet, P., & Tomaschek, J. (October 2015). A classification of barycentrically associative polynomial functions. Aequationes Mathematicae, 89 (5), 1281-1291. doi:10.1007/s00010-014-0332-0
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Couceiro, M., Marichal, J.-L., & Teheux, B. (2015). Median Preserving Aggregation Functions. In M. Baczyński, B. De Baets, ... R. Mesiar (Eds.), Proceedings of the 8th Int. Summer School on Aggregation Operators (pp. 85-89). Katowice, Poland: Uniersity of Silesia.
Peer reviewed

Marichal, J.-L., & Teheux, B. (2015). Generalizations and variants of associativity for aggregation functions (2-hour tutorial). In M. Baczyński, B. De Baets, ... R. Mesiar (Eds.), Proceedings of the 8th Int. Summer School on Aggregation Operators (pp. 17-22). Katowice, Poland: Uniersity of Silesia.
Peer reviewed

Marichal, J.-L. (17 June 2015). Generalizations and variants of associativity for variadic functions: a survey (invited talk) [Paper presentation]. 53rd Int. Symposium on Functional Equations (ISFE 53), Krynica-Zdrój, Poland.

Marichal, J.-L. (June 2015). Algorithms and formulas for conversion between system signatures and reliability functions. Journal of Applied Probability, 52 (2), 490-507. doi:10.1017/s0021900200012596
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Marichal, J.-L., & Teheux, B. (01 June 2015). Preassociative aggregation functions. Fuzzy Sets and Systems, 268, 15-26. doi:10.1016/j.fss.2014.11.010
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Marichal, J.-L., & Teheux, B. (01 April 2015). Barycentrically associative and preassociative functions. Acta Mathematica Hungarica, 145 (2), 468-488. doi:10.1007/s10474-015-0488-7
Peer reviewed

Marichal, J.-L., Mathonet, P., & Spizzichino, F. (February 2015). On modular decompositions of system signatures. Journal of Multivariate Analysis, 134, 19-32. doi:10.1016/j.jmva.2014.10.002
Peer reviewed

Bisgambiglia, P.-A., Guelton, K., Lauber, J., & Marichal, J.-L. (Eds.). (2015). La logique floue et ses applications. Revue d'Intelligence Artificielle, 29 (5), 489-619.
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Marichal, J.-L., & Mathonet, P. (31 December 2014). Influence and interaction indexes for pseudo-Boolean functions: a unified least squares approach. Discrete Applied Mathematics, 179, 13–27. doi:10.1016/j.dam.2014.05.039
Peer reviewed

Lehtonen, E., Marichal, J.-L., & Teheux, B. (December 2014). Associative string functions. Asian-European Journal of Mathematics, 7 (4), 1450059 (18. doi:10.1142/S1793557114500594
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Marichal, J.-L. (07 November 2014). On the use of power indexes in reliability theory (invited lecture) [Paper presentation]. 8th seminar “Ordered Structures in Games And Decision” (OSGAD), Centre d'Économie de la Sorbonne et Université Paris 1-Panthéon Sorbonne, Paris, France.

Marichal, J.-L. (November 2014). Computing subsignatures of systems with exchangeable component lifetimes. Statistics and Probability Letters, 94, 128–134. doi:10.1016/j.spl.2014.07.015
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Marichal, J.-L. (23 October 2014). Analyse de fiabilité des systèmes semicohérents et description par des polynômes latticiels [Paper presentation]. Séminaire de Probabilités et statistique (Laboratoire de Mathématiques et de leurs Applications), Université de Pau et des pays de l'Adour, Pau, France.

Marichal, J.-L., & Teheux, B. (October 2014). Associative and preassociative functions. Semigroup Forum, 89 (2), 431-442. doi:10.1007/s00233-014-9580-5
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Marichal, J.-L., & Teheux, B. (10 September 2014). Pivotal decompositions of functions. Discrete Applied Mathematics, 174, 102-112. doi:10.1016/j.dam.2014.04.013
Peer reviewed

Marichal, J.-L., & Teheux, B. (2014). Preassociative aggregation functions. In A. Laurent, O. Strauss, B. Bouchon-Meunier, ... R. R. Yager (Eds.), 15th International Conference on Information Processing and Management of Uncertainty in Knowledge-Based Systems, IPMU 2014, Montpellier, France, July 15-19, 2014. Proceedings, Part III (pp. 327-334). Heidelberg, Germany: Springer.
Peer reviewed

Couceiro, M., & Marichal, J.-L. (2014). Quasi-Lovász extensions on bounded chains. In A. Laurent, O. Strauss, B. Bouchon-Meunier, ... R. R. Yager (Eds.), 15th International Conference on Information Processing and Management of Uncertainty in Knowledge-Based Systems, IPMU 2014, Montpellier, France, July 15-19, 2014. Proceedings, Part I (pp. 199-205). Heidelberg, Germany: Springer.
Peer reviewed

Lehtonen, E., Marichal, J.-L., & Teheux, B. (24 June 2014). Associative string functions [Paper presentation]. 52nd Int. Symposium on Functional Equations (ISFE 52), Innsbruck, Austria. doi:10.1007/s00010-015-0391-x

Lehtonen, E., Marichal, J.-L., & Teheux, B. (20 June 2014). Associativity, preassociativity, and string functions [Paper presentation]. 88th Workshop on General Algebra (AAA88), Warsaw, Poland.

Marichal, J.-L., & Teheux, B. (16 June 2014). Preassociativity for aggregation functions [Paper presentation]. International Symposium on Aggregation on Bounded Lattices (ABLAT 2014), Trabzon, Turkey.

Marichal, J.-L., Mathonet, P., & Spizzichino, F. (16 June 2014). On structure signatures and probability signatures of general decomposable systems (invited talk) [Paper presentation]. 7th International Workshop on Applied Probability (IWAP 2014) "Probability: The Measure of Tomorrow", Antalya, Turkey.

Marichal, J.-L. (20 May 2014). Fonctions d'agrégation associatives et préassociatives (invited lecture) [Paper presentation]. LAMSADE - Séminaire "Modélisation des préférences et aide multicritère à la décision", Université Paris Dauphine, Paris, France.

Marichal, J.-L. (07 March 2014). Analyse de fiabilité des systèmes et description par des polynômes latticiels [Paper presentation]. Séminaire - LAMSADE, Université Paris Dauphine, Paris, France.

Marichal, J.-L. (21 February 2014). Fonctions d'agrégation pour l'aide multicritère à la décision [Paper presentation]. Atelier de Recherche R3: Decision-Intelligence Artificielle (Master de recherche MODO), Université Paris Dauphine, Paris, France.

Marichal, J.-L. (February 2014). Subsignatures of systems. Journal of Multivariate Analysis, 124, 226-236. doi:10.1016/j.jmva.2013.11.002
Peer reviewed

Marichal, J.-L., & Teheux, B. (18 October 2013). Fonctions associatives et préassociatives [Paper presentation]. Journée "Fonctions de choix et agrégation de données", Lyon, France.

Marichal, J.-L., Essounbouli, N., & Guelton, K. (Eds.). (2013). Actes des 22èmes rencontres francophones sur la Logique Floue et ses Applications, 10-11 octobre 2013, Reims, France. Reims, France: Université de Reims Champagne-Ardenne.

Marichal, J.-L., & Teheux, B. (2013). Fonctions d’agrégation barycentriquement associatives. In J.-L. Marichal, N. Essounbouli, ... K. Guelton (Eds.), Actes des 22èmes rencontres francophones sur la Logique Floue et ses Applications, 10-11 octobre 2013, Reims, France (pp. 153-154). Reims, France: Université de Reims Champagne-Ardenne.
Peer reviewed

Couceiro, M., & Marichal, J.-L. (23 July 2013). Discrete integrals based on comonotonic modularity. Axioms, 2 (3), 390-403. doi:10.3390/axioms2030390
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Marichal, J.-L., & Mathonet, P. (March 2013). On the extensions of Barlow-Proschan importance index and system signature to dependent lifetimes. Journal of Multivariate Analysis, 115, 48-56. doi:10.1016/j.jmva.2012.09.002
Peer reviewed

Marichal, J.-L., & Mathonet, P. (March 2013). Computing system signatures through reliability functions. Statistics and Probability Letters, 83 (3), 710-717. doi:10.1016/j.spl.2012.11.018
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Couceiro, M., & Marichal, J.-L. (2013). On comonotonically modular functions. In R. Mesiar, E. Pap, ... E. P. Klement (Eds.), 34th Linz Seminar on Fuzzy Set Theory (LINZ 2013) - Non-Classical Measures and Integrals (pp. 16-20).
Peer reviewed

Mathonet, P., & Marichal, J.-L. (2013). On the cardinality index of fuzzy measures and the signatures of coherent systems. In R. Mesiar, E. Pap, ... E. P. Klement (Eds.), 34th Linz Seminar on Fuzzy Set Theory (LINZ 2013) - Non-Classical Measures and Integrals (pp. 92-95).
Peer reviewed

Marichal, J.-L., & Teheux, B. (2013). Pivotal decompositions of aggregation functions. In R. Mesiar, E. Pap, ... E. P. Klement (Eds.), 34th Linz Seminar on Fuzzy Set Theory (LINZ 2013) - Non-Classical Measures and Integrals (pp. 96-99).
Peer reviewed

Couceiro, M., & Marichal, J.-L. (2012). Quasi-extensions de Lovász et leur version symétrique. In Rencontres francophones sur la logique floue et ses applications 2012 (pp. 34-41). Toulouse, France: Cépaduès-Editions.
Peer reviewed

Marichal, J.-L., & Mathonet, P. (September 2012). A classification of bisymmetric polynomial functions over integral domains of characteristic zero. Aequationes Mathematicae, 84 (1-2), 125-136. doi:10.1007/s00010-012-0130-5
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Couceiro, M., & Marichal, J.-L. (August 2012). Aczélian n-ary semigroups. Semigroup Forum, 85 (1), 81-90. doi:10.1007/s00233-011-9354-2
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Marichal, J.-L., & Mathonet, P. (August 2012). Symmetric approximations of pseudo-Boolean functions with applications to influence indexes. Applied Mathematics Letters, 25 (8), 1121-1126. doi:10.1016/j.aml.2012.02.017
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Couceiro, M., Marichal, J.-L., & Waldhauser, T. (August 2012). Locally monotone Boolean and pseudo-Boolean functions. Discrete Applied Mathematics, 160 (12), 1651-1660. doi:10.1016/j.dam.2012.03.006
Peer reviewed

Dukhovny, A., & Marichal, J.-L. (03 February 2012). Reliability of systems with dependent components based on lattice polynomial description. Stochastic Models, 28 (1), 167-184. doi:10.1080/15326349.2012.646557
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Bouyssou, D., Couceiro, M., Labreuche, C., Marichal, J.-L., & Mayag, B. (2012). Using Choquet integral in Machine Learning: what can MCDA bring? In DA2PL' 2012 - from Multiple Criteria Decision Aid to Preference Learning (pp. 41-47).
Peer reviewed

Couceiro, M., & Marichal, J.-L. (2012). Quasi-Lovász extensions and their symmetric counterparts. In S. Greco, B. Bouchon-Meunier, G. Coletti, M. Fedrizzi, B. Matarazzo, ... R. R. Yager (Eds.), Advances on Computational Intelligence, Part IV, 14th Int. Conf. on Information Processing and Management of Uncertainty in Knowledge-Based Systems, IPMU 2012, Catania, Italy, July 9-13, 2012, Proceedings, Part IV (pp. 178-187). Heidelberg, Germany: Springer. doi:10.1007/978-3-642-31724-8_19
Peer reviewed

Couceiro, M., Marichal, J.-L., & Waldhauser, T. (2012). Hierarchies of local monotonicities and lattice derivatives for Boolean and pseudo-Boolean functions. In D. M. Miller & V. C. Gaudet (Eds.), 42nd IEEE International Symposium on Multiple-Valued Logic, ISMVL 2012, Victoria, BC, Canada, May 14-16, 2012 (pp. 262-267). IEEE. doi:10.1109/ISMVL.2012.10
Peer reviewed

Couceiro, M., & Marichal, J.-L. (2012). Polynomial functions over bounded distributive lattices. Journal of Multiple-Valued Logic and Soft Computing, 18 (3-4), 247-256.
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Couceiro, M., & Marichal, J.-L. (December 2011). Axiomatizations of quasi-Lovász extensions of pseudo-Boolean functions. Aequationes Mathematicae, 82 (3), 213-231. doi:10.1007/s00010-011-0091-0
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Marichal, J.-L., & Mathonet, P. (10 November 2011). Influence and interaction indexes in cooperative games: a unified least squares approach [Paper presentation]. 5th seminar “Ordered Structures in Games And Decision” (OSGAD), Centre d'Économie de la Sorbonne et Université Paris 1-Panthéon Sorbonne, Paris, France.

Marichal, J.-L., Mathonet, P., & Waldhauser, T. (November 2011). On signature-based expressions of system reliability. Journal of Multivariate Analysis, 102 (10), 1410-1416. doi:10.1016/j.jmva.2011.05.007
Peer reviewed

Couceiro, M., & Marichal, J.-L. (16 October 2011). Axiomatizations of Lovász extensions of pseudo-Boolean functions. Fuzzy Sets and Systems, 181 (1), 28-38. doi:10.1016/j.fss.2011.05.006
Peer Reviewed verified by ORBi

Marichal, J.-L., & Mathonet, P. (October 2011). A description of n-ary semigroups polynomial-derived from integral domains. Semigroup Forum, 83 (2), 241-249. doi:10.1007/s00233-011-9295-9
Peer Reviewed verified by ORBi

Marichal, J.-L., & Mathonet, P. (07 September 2011). Extensions of system signature and Barlow-Proschan importance index to dependent lifetimes [Paper presentation]. Mini-symposium on the Concept of Signature in System-Reliability, Department of Mathematics, University "La Sapienza", Rome, Italy.

Marichal, J.-L., Mathonet, P., & Waldhauser, T. (07 September 2011). Signatures, decompositions of reliability, and approximation problems [Paper presentation]. Mini-symposium on the Concept of Signature in System-Reliability, Department of Mathematics, University "La Sapienza", Rome, Italy.

Marichal, J.-L., & Mathonet, P. (01 August 2011). Measuring the interactions among variables of functions over the unit hypercube. Journal of Mathematical Analysis and Applications, 380 (1), 105-116. doi:10.1016/j.jmaa.2011.02.040
Peer reviewed

Waldhauser, T., Couceiro, M., & Marichal, J.-L. (19 July 2011). Agents in the shadow (cooperative games with non-cooperating players) [Paper presentation]. 7th Meeting on Game Theory (SING 7), Paris, France.

Couceiro, M., Lehtonen, E., Marichal, J.-L., & Waldhauser, T. (2011). An algorithm for producing median formulas for Boolean functions. In Proc. of the Reed Muller 2011 Workshop (pp. 49-54).
Peer reviewed

Marichal, J.-L., & Mathonet, P. (01 June 2011). Weighted Banzhaf power and interaction indexes through weighted approximations of games. European Journal of Operational Research, 211 (2), 352-358. doi:10.1016/j.ejor.2010.11.027
Peer reviewed

Marichal, J.-L., & Mathonet, P. (June 2011). Classification of associative multivariate polynomial functions [Paper presentation]. 49th Int. Symposium on Functional Equations (ISFE 49), Graz-Mariatrost, Austria.

Marichal, J.-L., & Mathonet, P. (May 2011). Extensions of system signatures to dependent lifetimes: Explicit expressions and interpretations. Journal of Multivariate Analysis, 102 (5), 931-936. doi:10.1016/j.jmva.2011.01.010
Peer reviewed

Cardin, M., Couceiro, M., Giove, S., & Marichal, J.-L. (April 2011). Axiomatizations of signed discrete Choquet integrals. International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems, 19 (2), 193-199. doi:10.1142/S0218488511006964
Peer Reviewed verified by ORBi

Couceiro, M., & Marichal, J.-L. (March 2011). Associative polynomial functions over bounded distributive lattices. Order: A Journal on the Theory of Ordered Sets and its Applications, 28 (1), 1-8. doi:10.1007/s11083-010-9150-8
Peer reviewed

Marichal, J.-L., & Mathonet, P. (18 January 2011). Indices de pouvoir et d'interaction en théorie des jeux coopératifs: une approche par moindres carrés [Paper presentation]. Séminaire de Mathématiques Discrètes, Optimisation et Décision (MDOD), Centre d'Économie de la Sorbonne et Université Paris 1-Panthéon Sorbonne, Paris, France.

Grabisch, M., Marichal, J.-L., Mesiar, R., & Pap, E. (01 January 2011). Aggregation functions: Means. Information Sciences, 181 (1), 1-22. doi:10.1016/j.ins.2010.08.043
Peer reviewed

Grabisch, M., Marichal, J.-L., Mesiar, R., & Pap, E. (01 January 2011). Aggregation functions: Construction methods, conjunctive, disjunctive and mixed classes. Information Sciences, 181 (1), 23-43. doi:10.1016/j.ins.2010.08.040
Peer reviewed

Couceiro, M., & Marichal, J.-L. (2011). Axiomatizations of the discrete Choquet integral and extensions. In S. Galichet, J. Montero, ... G. Mauris (Eds.), Proceedings of the 7th conference of the European Society for Fuzzy Logic and Technology (EUSFLAT-2011) and LFA-2011 (pp. 830-835). Atlantis Press.
Peer reviewed

Couceiro, M., & Marichal, J.-L. (2011). On three properties of the discrete Choquet integral. In D. Dubois, M. Grabisch, R. Mesiar, ... E. P. Klement (Eds.), 32nd Linz Seminar on Fuzzy Set Theory (LINZ 2011) - Decision Theory: Qualitative and Quantitative Approaches (pp. 29-32).
Peer reviewed

Marichal, J.-L., & Mathonet, P. (2011). Weighted Banzhaf power and interaction indexes through weighted approximations of games. In D. Dubois, M. Grabisch, R. Mesiar, ... E. P. Klement (Eds.), 32nd Linz Seminar on Fuzzy Set Theory (LINZ 2011) - Decision Theory: Qualitative and Quantitative Approaches (pp. 95-98).
Peer reviewed

Couceiro, M., & Marichal, J.-L. (December 2010). Quasi-polynomial functions over bounded distributive lattices. Aequationes Mathematicae, 80 (3), 319-334. doi:10.1007/s00010-010-0039-9
Peer Reviewed verified by ORBi

Marichal, J.-L., & Mathonet, P. (2010). Measuring the interactions among variables of functions over the unit hypercube. In V. Torra, Y. Narukawa, ... M. Daumas (Eds.), Modeling Decisions for Artificial Intelligence: Proceedings 7th International Conference, MDAI 2010, Perpignan, France, October 27-29, 2010 (pp. 19-30). Berlin, Germany: Springer-Verlag. doi:10.1007/978-3-642-16292-3_5
Peer reviewed

Marichal, J.-L., & Mathonet, P. (2010). Measuring the influence of the kth largest variable on functions over the unit hypercube. In V. Torra, Y. Narukawa, ... M. Daumas (Eds.), Modeling Decisions for Artificial Intelligence: Proceedings 7th International Conference, MDAI 2010, Perpignan, France, October 27-29, 2010 (pp. 7-18). Berlin, Germany: Springer-Verlag. doi:10.1007/978-3-642-16292-3_4
Peer reviewed

Couceiro, M., & Marichal, J.-L. (2010). Explicit descriptions of associative Sugeno integrals. In E. Hüllermeier, R. Kruse, ... F. Hoffmann (Eds.), Information Processing and Management of Uncertainty in Knowledge-Based Systems: 13th International Conference, IPMU 2010, Dortmund, Germany, June 28–July 2, 2010. Proceedings, Part I (pp. 465-470). Berlin, Germany: Springer-Verlag. doi:10.1007/978-3-642-14055-6_48
Peer reviewed

Marichal, J.-L. (June 2010). Solving Chisini's functional equation. Aequationes Mathematicae, 79 (3), 237-260. doi:10.1007/s00010-010-0018-1
Peer Reviewed verified by ORBi

Couceiro, M., & Marichal, J.-L. (June 2010). On two generalizations of associativity [Paper presentation]. 48th Int. Symposium on Functional Equations (ISFE 48), Batz-sur-Mer, France.

Marichal, J.-L. (June 2010). Solving Chisini's functional equation [Paper presentation]. 48th Int. Symposium on Functional Equations (ISFE 48), Batz-sur-Mer, France.

Couceiro, M., & Marichal, J.-L. (01 March 2010). Characterizations of discrete Sugeno integrals as polynomial functions over distributive lattices. Fuzzy Sets and Systems, 161 (5), 694-707. doi:10.1016/j.fss.2009.10.008
Peer Reviewed verified by ORBi

Marichal, J.-L., & Mathonet, P. (January 2010). Weighted Banzhaf interaction indexes and weighted least squares [Paper presentation]. 24th Annual Conf. of the Belgian Operational Research Society (ORBEL 24), Liège, Belgium.

Marichal, J.-L., & Mathonet, P. (January 2010). Measuring the interactions among variables of functions over the unit hypercube [Paper presentation]. 24th Annual Conf. of the Belgian Operational Research Society (ORBEL 24), Liège, Belgium.

Couceiro, M., & Marichal, J.-L. (2010). Representations and characterizations of polynomial functions on chains. Journal of Multiple-Valued Logic and Soft Computing, 16 (1-2), 65-86.
Peer Reviewed verified by ORBi

Couceiro, M., & Marichal, J.-L. (October 2009). Axiomatizations of quasi-polynomial functions on bounded chains. Aequationes Mathematicae, 78 (1-2), 195-213. doi:10.1007/s00010-009-2969-7
Peer Reviewed verified by ORBi

Kojadinovic, I., & Marichal, J.-L. (01 August 2009). On the moments and distribution of discrete Choquet integrals from continuous distributions. Journal of Computational and Applied Mathematics, 230 (1), 83-94. doi:10.1016/j.cam.2008.10.061
Peer reviewed

Grabisch, M., Marichal, J.-L., Mesiar, R., & Pap, E. (2009). Aggregation functions. Cambridge, United Kingdom: Cambridge University Press. doi:10.1017/CBO9781139644150

Marichal, J.-L., & Mesiar, R. (June 2009). Meaningful aggregation functions mapping ordinal scales into an ordinal scale: a state of the art. Aequationes Mathematicae, 77 (3), 207-236. doi:10.1007/s00010-009-2961-2
Peer Reviewed verified by ORBi

Marichal, J.-L. (06 March 2009). Weighted lattice polynomials. Discrete Mathematics, 309 (4), 814-820. doi:10.1016/j.disc.2008.01.019
Peer Reviewed verified by ORBi

Dukhovny, A., & Marichal, J.-L. (10 February 2009). Analyse de fiabilité des systèmes semicohérents et description par des polynômes latticiels [Paper presentation]. 10ème Congr. de la Soc. Française de Recherche Opérationnelle et d'Aide à la Décision (ROADEF 2009), Nancy, France.

Grabisch, M., Marichal, J.-L., Mesiar, R., & Pap, E. (2009). Aggregation on bipolar scales. In U. Bodenhofer, B. De Baets, E. P. Klement, ... S. Saminger-Platz (Eds.), Proc. 30th Linz Seminar on Fuzzy Set Theory (LINZ 2009): The Legacy of 30 Seminars – Where Do We Stand and Where Do We Go? (pp. 46-51). Linz, Austria: Universitätsdirektion, Johannes Kepler Universität.
Peer reviewed

Marichal, J.-L., Grabisch, M., Mesiar, R., & Pap, E. (2009). Behavioral analysis of aggregation functions. In U. Bodenhofer, B. De Baets, E. P. Klement, ... S. Saminger-Platz (Eds.), Proc. 30th Linz Seminar on Fuzzy Set Theory (LINZ 2009): The Legacy of 30 Seminars – Where Do We Stand and Where Do We Go? (pp. 74-77). Linz, Austria: Universitätsdirektion, Johannes Kepler Universität.
Peer reviewed

Pap, E., Mesiar, R., Grabisch, M., & Marichal, J.-L. (2009). Infinitary aggregation. In U. Bodenhofer, B. De Baets, E. P. Klement, ... S. Saminger-Platz (Eds.), Proc. 30th Linz Seminar on Fuzzy Set Theory (LINZ 2009): The Legacy of 30 Seminars – Where Do We Stand and Where Do We Go? (pp. 91-92). Linz, Austria: Universitätsdirektion, Johannes Kepler Universität.
Peer reviewed

Mesiar, R., Pap, E., Grabisch, M., & Marichal, J.-L. (2009). Contribution on some construction methods for aggregation functions. In U. Bodenhofer, B. De Baets, E. P. Klement, ... S. Saminger-Platz (Eds.), Proc. 30th Linz Seminar on Fuzzy Set Theory (LINZ 2009): The Legacy of 30 Seminars – Where Do We Stand and Where Do We Go? (pp. 78-79). Linz, Austria: Universitätsdirektion, Johannes Kepler Universität.
Peer reviewed

Couceiro, M., & Marichal, J.-L. (2009). Characterizations of discrete Sugeno integrals as lattice polynomial functions. In U. Bodenhofer, B. De Baets, E. P. Klement, ... S. Saminger-Platz (Eds.), Proc. 30th Linz Seminar on Fuzzy Set Theory (LINZ 2009): The Legacy of 30 Seminars – Where Do We Stand and Where Do We Go? (pp. 17-20). Linz, Austria: Universitätsdirektion, Johannes Kepler Universität.
Peer reviewed

Marichal, J.-L. (2009). Aggregation functions for decision making. In D. Bouyssou, D. Dubois, M. Pirlot, ... H. Prade (Eds.), Decision-Making Process – Concepts and Methods (pp. 673-721). ISTE/John Wiley. doi:10.1002/9780470611876.ch17
Peer reviewed

Grabisch, M., Marichal, J.-L., Mesiar, R., & Pap, E. (2009). Monograph: aggregation functions. Acta Polytechnica Hungarica, 6 (1), 79-94.
Peer reviewed

Couceiro, M., & Marichal, J.-L. (2009). From discrete Sugeno integrals to generalized lattice polynomial functions: axiomatizations and representations (invited lecture). In M. González, G. Mayor, J. Suner, ... J. Torrens (Eds.), Proc. 5th Int. Summer School on Aggregation Operators and their Applications (AGOP 2009) (pp. 23-29). Universitat de Illes Balears, Spain: Edicions UIB. Cas Jai. Campus Universitari.
Peer reviewed

Couceiro, M., & Marichal, J.-L. (2009). Polynomial functions on bounded chains. In J.-P. Carvalho, D. Dubois, U. Kaymak, ... J. M. C. Sousa (Eds.), Proc. of 2009 Int. Fuzzy Systems Assoc. World Congress and 2009 Int. Conf. of the Eur. Soc. for Fuzzy Logic and Technology (IFSA-EUSFLAT 2009 Joint Conference) (pp. 525-530).
Peer reviewed

Marichal, J.-L. (2009). The Chisini mean revisited. In M. González, G. Mayor, J. Suner, ... J. Torrens (Eds.), Proc. 5th Int. Summer School on Aggregation Operators and their Applications (AGOP 2009) (pp. 161-166). Universitat de Illes Balears, Spain: Edicions UIB. Cas Jai. Campus Universitari.
Peer reviewed

Couceiro, M., & Marichal, J.-L. (2009). Quasi-polynomial functions on bounded chains. In J. P. Carvalho, D. Dubois, U. Kaymak, ... J. M. C. Sousa (Eds.), Proc. of 2009 Int. Fuzzy Systems Assoc. World Congress and 2009 Int. Conf. of the Eur. Soc. for Fuzzy Logic and Technology (IFSA-EUSFLAT 2009 Joint Conference) (pp. 531-536).
Peer reviewed

Dukhovny, A., & Marichal, J.-L. (17 October 2008). Reliability analysis and lattice polynomial system representation [Paper presentation]. 10th Interregional Colloquium of Mathematics (IRCM 2008), Luxembourg, Luxembourg.

Grabisch, M., Marichal, J.-L., Mesiar, R., & Pap, E. (2008). “Aggregation Functions”, Cambridge University Press. In Proc. of the 6th Int. Symposium on Intelligent Systems and Informatics (SISY 2008) (pp. 1-7). IEEE. doi:10.1109/SISY.2008.4664901
Peer reviewed

Meyer, P., Marichal, J.-L., & Bisdorff, R. (2008). Disaggregation of bipolar-valued outranking relations. In H. A. Le Thi, P. Bouvry, ... T. Pham Dinh (Eds.), Modelling, Computation and Optimization in Information Systems and Management Sciences (pp. 204-213). Berlin, Germany: Springer. doi:10.1007/978-3-540-87477-5_23
Peer reviewed

Dukhovny, A., & Marichal, J.-L. (July 2008). System reliability and weighted lattice polynomials. Probability in the Engineering and Informational Sciences, 22 (3), 373-388. doi:10.1017/S0269964808000223
Peer reviewed

Marichal, J.-L., & Kojadinovic, I. (01 June 2008). Distribution functions of linear combinations of lattice polynomials from the uniform distribution. Statistics and Probability Letters, 78 (8), 985-991. doi:10.1016/j.spl.2007.09.059
Peer Reviewed verified by ORBi

Marichal, J.-L. (01 May 2008). Multivariate integration of functions depending explicitly on the minimum and the maximum of the variables. Journal of Mathematical Analysis and Applications, 341 (1), 200-210. doi:10.1016/j.jmaa.2007.10.021
Peer reviewed

Marichal, J.-L. (01 March 2008). Weighted lattice polynomials of independent random variables. Discrete Applied Mathematics, 156 (5), 685-694. doi:10.1016/j.dam.2007.08.024
Peer reviewed

Marichal, J.-L., & Mathonet, P. (01 January 2008). Approximations of Lovász extensions and their induced interaction index. Discrete Applied Mathematics, 156 (1), 11-24. doi:10.1016/j.dam.2007.07.011
Peer reviewed

Bisdorff, R., & Marichal, J.-L. (2008). Counting non-isomorphic maximal independent sets of the n-cycle graph. Journal of Integer Sequences, 11 (5), 1-16.
Peer reviewed

Marichal, J.-L., & Mossinghoff, M. J. (2008). Slices, slabs, and sections of the unit hypercube. Online Journal of Analytic Combinatorics, 3, 1-11.
Peer Reviewed verified by ORBi

Meyer, P., Bisdorff, R., & Marichal, J.-L. (January 2008). Disaggregation of bipolar-valued outranking relations and application to the inference of model parameters [Paper presentation]. 19th Int. Conf. on Multiple Criteria Decision Making (MCDM 2008), Auckland, New Zealand.

Meyer, P., Marichal, J.-L., & Bisdorff, R. (September 2007). Disaggregation of bipolar-valued outranking relations and application to the inference of model parameters [Paper presentation]. 38th Meeting of the Eur. Mathematical Psychology Group (EMPG 38), Decision Science Symposium, Luxembourg, Luxembourg, Sep. 13, 2007, Luxembourg, Luxembourg.

Marichal, J.-L. (September 2007). Aggregation Functions for Multicriteria Decision Aid (invited lecture) [Paper presentation]. Cost IC0602 International Doctoral School, Algorithmic Decision Theory: MCDA and MOO, Han sur Lesse, Belgium.

Kojadinovic, I., & Marichal, J.-L. (2007). On the moments and the distribution of the Choquet integral. In M. Štěpnička, V. Novák, ... U. Bodenhofer (Eds.), New Dimensions in Fuzzy Logic and Related Technologies. Proceedings of the 5th EUSFLAT Conference, Ostrava, Czech Republic, September 11-14, 2007. Volume I: Invited Lectures and Special Sessions (pp. 305-312). Ostrava, Czechia: Universitas Ostraviensis.
Peer reviewed

Marichal, J.-L. (2007). Multivariate integration of functions depending explicitly on the minimum and the maximum of the variables. In B. De Baets, K. C. Maes, ... R. Mesiar (Eds.), Proc. 4th Int. Summer School on Aggregation Operators and their Applications (AGOP 2007), Ghent, Belgium, July 9-14, 2007 (pp. 193-198).
Peer reviewed

Kojadinovic, I., & Marichal, J.-L. (01 April 2007). Entropy of bi-capacities. European Journal of Operational Research, 178 (1), 168-184. doi:10.1016/j.ejor.2005.10.058
Peer reviewed

Marichal, J.-L. (16 March 2007). k-intolerant capacities and Choquet integrals. European Journal of Operational Research, 177 (3), 1453-1468. doi:10.1016/j.ejor.2005.04.015
Peer reviewed

Bisdorff, R., Lundberg, G., & Marichal, J.-L. (Eds.). (16 March 2007). Human centered processes: Toward a naturalistic decision making paradigm. European Journal of Operational Research, 177 (3), 1313-2118. doi:10.1016/j.ejor.2005.04.004
Peer reviewed

Marichal, J.-L. (14 February 2007). Comparison meaningful aggregation functions: a state of the art [Paper presentation]. Mathematics Colloquium, Dept. of Mathematics, Brigham Young University, Provo, Utah, United States.

Marichal, J.-L. (2007). Integer sequence #A127682.

Marichal, J.-L. (2007). Integer sequence #A127683.

Marichal, J.-L. (2007). Integer sequence #A127684.

Marichal, J.-L. (2007). Integer sequence #A127686.

Marichal, J.-L. (2007). Integer sequence #A127685.

Marichal, J.-L. (2007). Integer sequence #A127687.

Marichal, J.-L., Kojadinovic, I., & Fujimoto, K. (01 January 2007). Axiomatic characterizations of generalized values. Discrete Applied Mathematics, 155 (1), 26-43. doi:10.1016/j.dam.2006.05.002
Peer reviewed

Marichal, J.-L., & Dorff, M. (2007). Derivative relationships between volume and surface area of compact regions in Rd. Rocky Mountain Journal of Mathematics, 37 (2), 551-571. doi:10.1216/rmjm/1181068766
Peer reviewed

Bisdorff, R., & Marichal, J.-L. (January 2007). Counting non-isomorphic maximal independent sets of the n-cycle graph [Paper presentation]. 21st Annual Conf. of the Belgian Operational Research Society (ORBEL 21), Luxembourg, Jan. 18-19, 2007, Luxembourg, Luxembourg.

Marichal, J.-L. (2006). Weighted lattice polynomials. In Proc. 11th Int. Conf. on Information Processing and Management of Uncertainty in Knowledge-Based Systems (IPMU 2006), Paris, France, July 2-7, 2006 (pp. 1740-1744).
Peer reviewed

Marichal, J.-L. (01 July 2006). Cumulative distribution functions and moments of lattice polynomials. Statistics and Probability Letters, 76 (12), 1273-1279. doi:10.1016/j.spl.2006.01.001
Peer Reviewed verified by ORBi

Marichal, J.-L. (05 June 2006). Cumulative distribution functions and moments of weighted lattice polynomials [Paper presentation]. Seminar "Mathématiques discrètes et sciences sociales", Centre d'Analyse et de Mathématiques Sociales (CAMS), Ecole des Hautes Etudes en Sciences Sociales, Paris, France.

Fujimoto, K., Kojadinovic, I., & Marichal, J.-L. (April 2006). Axiomatic characterizations of probabilistic and cardinal-probabilistic interaction indices. Games and Economic Behavior, 55 (1), 72-99. doi:10.1016/j.geb.2005.03.002
Peer reviewed

Marichal, J.-L. (2006). The weighted lattice polynomials as aggregation functions. In Proc. 63rd Meeting of the Eur. Working Group "Multiple Criteria Decision Aiding" (MCDA 63).
Peer reviewed

Marichal, J.-L. (2006). Cumulative distribution functions and moments of weighted lattice polynomials. In J. Fodor, E. P. Klement, ... M. Roubens (Eds.), Proc. 27th Linz Seminar on Fuzzy Set Theory (LINZ 2006): Preferences, Games and Decisions (pp. 95-100). Linz, Austria: Universitätsdirektion, Johannes Kepler Universität.
Peer reviewed

Marichal, J.-L. (2006). Fonctions d'agrégation pour la décision. In D. Bouyssou, D. Dubois, M. Pirlot, ... H. Prade (Eds.), Concepts et Méthodes pour l'Aide à la Décision Vol. 3 (pp. 123-174). Hermès Science Publications.
Peer reviewed

Marichal, J.-L., Mesiar, R., & Rückschlossová, T. (2005). A complete description of comparison meaningful functions. In E. Montseny & P. Sobrevilla (Eds.), Proceedings of the Joint 4th Conference of the European Society for Fuzzy Logic and Technology and the 11th Rencontres Francophones sur la Logique Floue et ses Applications, Barcelona, Spain, September 7-9, 2005 (pp. 943-948).
Peer reviewed

Kojadinovic, I., & Marichal, J.-L. (2005). Entropy of bi-capacities. In E. Montseny & P. Sobrevilla (Eds.), Proceedings of the Joint 4th Conference of the European Society for Fuzzy Logic and Technology and the 11th Rencontres Francophones sur la Logique Floue et ses Applications, Barcelona, Spain, September 7-9, 2005 (pp. 991-996).
Peer reviewed

Kojadinovic, I., & Marichal, J.-L. (2005). An extension of the Shannon entropy to bi-capacities. In Proc. 3rd Int. Summer School on Aggregation Operators and their Applications (AGOP 2005), Lugano, Switzerland, July 10-15, 2005 (pp. 67-72).
Peer reviewed

Marichal, J.-L., Mesiar, R., & Rückschlossová, T. (2005). A complete description of comparison meaningful functions. In Proc. 3rd Int. Summer School on Aggregation Operators and their Applications (AGOP 2005), Lugano, Switzerland (pp. 73-77).
Peer reviewed

Kojadinovic, I., Marichal, J.-L., & Roubens, M. (09 June 2005). An axiomatic approach to the definition of the entropy of a discrete Choquet capacity. Information Sciences, 172 (1-2), 131-153. doi:10.1016/j.ins.2004.05.011
Peer reviewed

Marichal, J.-L., Mesiar, R., & Rückschlossová, T. (May 2005). A complete description of comparison meaningful functions. Aequationes Mathematicae, 69 (3), 309-320. doi:10.1007/s00010-004-2762-6
Peer Reviewed verified by ORBi

Marichal, J.-L. (08 April 2005). Derivative relationships between volume and surface area of compact regions in Rd [Paper presentation]. Mathematics Seminar, Marin Mersenne Lab., University Paris 1, Paris, France.

Marichal, J.-L., Meyer, P., & Roubens, M. (April 2005). Sorting multiattribute alternatives: The TOMASO method. Computers and Operations Research, 32 (4), 861-877. doi:10.1016/j.cor.2003.09.002
Peer reviewed

Bisdorff, R., Marichal, J.-L., & Meyer, P. (Eds.). (2005). Proc. of the 61st Meeting of the Eur. Working Group "Multiple Criteria Decision Aiding" (Luxembourg, March 10-12, 2005) - Theme: Preference Modelling. Luxembourg, Luxembourg: SMA - University of Luxembourg.

Marichal, J.-L. (21 January 2005). A complete description of comparison meaningful functions [Paper presentation]. Mathematics Seminar, Marin Mersenne Lab., University Paris 1, Paris, France.

Marichal, J.-L. (2005). k-intolerant capacities and Choquet integrals. In J.-P. Barthélemy & P. Lenca (Eds.), Advances in Multicriteria Decision Aid - Progrès en Aide Multicritère à la Décision (ENST Bretagne, 2005) (pp. 48-64). Brest, France: ENST Bretagne.
Peer reviewed

Marichal, J.-L. (30 November 2004). A complete description of comparison meaningful functions [Paper presentation]. Séminaire de Mathématique de l'Université du Luxembourg, Luxembourg, Luxembourg.

Marichal, J.-L., & Mesiar, R. (2004). Agrégation sur des échelles ordinales finies par des fonctions indépendantes des échelles. In Actes des "Rencontres francophones sur la logique floue et ses applications" (LFA 2004), Nantes, France, Nov. 18-19, 2004 (pp. 347-354). Toulouse, France: Cépaduès-Editions.
Peer reviewed

Marichal, J.-L., Mesiar, R., & Rückschlossová, T. (2004). A complete description of comparison meaningful functions. In D. Bouyssou, M. Janowitz, F. Roberts, ... A. Tsoukiàs (Eds.), Annales du LAMSADE No 3 - Octobre 2004 (ISSN 1762-455X, pp. 249-258). Paris, France: Université Paris Dauphine.
Peer reviewed

Grabisch, M., Labreuche, C., Marichal, J.-L., & Miranda, P. (2004). k-intolerant bi-capacities and veto criteria. In M. C. López-Díaz, M. A. Gil, P. Grzegorzewski, O. Hryniewicz, ... J. Lawry (Eds.), Soft Methodology and Random Information Systems (pp. 527-534). Berlin, Germany: Springer-Verlag. doi:10.1007/978-3-540-44465-7_65
Peer reviewed

Marichal, J.-L. (2004). k-intolerant capacities and Choquet integrals. In Proc. 10th Int. Conf. on Information Processing and Management of Uncertainty in Knowledge-Based Systems (IPMU 2004), Perugia, Italy, July 4-9, 2004 (pp. 601-608).
Peer reviewed

Marichal, J.-L., & Mesiar, R. (2004). Aggregation on finite ordinal scales by scale independent functions. In Proc. 10th Int. Conf. on Information Processing and Management of Uncertainty in Knowledge-Based Systems (IPMU 2004), Perugia, Italy, July 4-9, 2004 (pp. 1243-1250).
Peer reviewed

Fujimoto, K., Kojadinovic, I., & Marichal, J.-L. (2004). Axiomatic characterizations of probabilistic and cardinal-probabilistic interaction indices. In Proc. 10th Int. Conf. on Information Processing and Management of Uncertainty in Knowledge-Based Systems (IPMU 2004), Perugia, Italy, July 4-9, 2004 (pp. 45-52).
Peer reviewed

Marichal, J.-L. (16 June 2004). Tolerant or intolerant character of interacting criteria in aggregation by the Choquet integral. European Journal of Operational Research, 155 (3), 771-791. doi:10.1016/S0377-2217(02)00885-8
Peer reviewed

Marichal, J.-L., & Mesiar, R. (May 2004). Aggregation on finite ordinal scales by scale independent functions. Order: A Journal on the Theory of Ordered Sets and its Applications, 21 (2), 155-180. doi:10.1007/s11083-004-3409-x
Peer reviewed

Marichal, J.-L., & Schiltz, J. (09 March 2004). An introduction to the PROSPER package for LaTeX users [Paper presentation]. Séminaire de Mathématique de l'Université du Luxembourg, Luxembourg, Luxembourg.

Marichal, J.-L. (2004). k-intolerant capacities and Choquet integrals. In E. P. Klement & E. Pap (Eds.), Proc. 25th Linz Seminar on Fuzzy Set Theory (LINZ 2004): Mathematics of Fuzzy Systems (pp. 123-129). Linz, Austria: Universitätsdirektion, Johannes Kepler Universität.
Peer reviewed

Meyer, P., Roubens, M., & Marichal, J.-L. (2004). TOMASO, A solution in the presence of interacting points of views. Newsletter of the European Working Group "Multicriteria Aid for Decisions", 3 (9), p. 10-12.

Marichal, J.-L. (21 October 2003). Derivative relationships between volume and surface area of compact regions in Rd [Paper presentation]. Séminaire de Mathématique de l'Université du Luxembourg, Luxembourg, Luxembourg.

Marichal, J.-L. (2003). Aggregation on finite ordinal scales (Tutorial). In Proc. 2nd Int. Summer School on Aggregation Operators and their Applications (AGOP 2003), Alcalá de Henares (Madrid), Spain, July 14-18, 2003 (pp. 177-186).
Peer reviewed

Marichal, J.-L. (2003). On tolerant or intolerant character of interacting criteria in aggregation by the Choquet integral. In R. Bisdorff (Ed.), Proc. 14th Mini-Euro Conference, Human Centered Processes, Distributed Decision Making and Man-Machine Cooperation (HCP 2003), Luxembourg, May 5-7, 2003 (pp. 267-271). Luxembourg, Luxembourg: Centre Universitaire du Luxembourg.
Peer reviewed

Marichal, J.-L. (December 2002). On order invariant synthesizing functions. Journal of Mathematical Psychology, 46 (6), 661-676. doi:10.1006/jmps.2002.1418
Peer reviewed

Kojadinovic, I., Marichal, J.-L., & Roubens, M. (2002). An axiomatic approach to the definition of the entropy of a discrete Choquet capacity. In Proc. 9th Int. Conf. on Information Processing and Management of Uncertainty in Knowledge-Based Systems (IPMU 2002), Annecy, France, July 1-5, 2002 (pp. 763-768).
Peer reviewed

Marichal, J.-L. (2002). On order invariant synthesizing functions. In Proc. 9th Int. Conf. on Information Processing and Management of Uncertainty in Knowledge-Based Systems (IPMU 2002), Annecy, France, July 1-5, 2002 (pp. 1343-1348).
Peer reviewed

Marichal, J.-L. (16 March 2002). Entropy of discrete Choquet capacities. European Journal of Operational Research, 137 (3), 612-624. doi:10.1016/S0377-2217(01)00088-1
Peer reviewed

Marichal, J.-L. (2002). Aggregation of interacting criteria by means of the discrete Choquet integral. In T. Calvo, G. Mayor, ... R. Mesiar (Eds.), Aggregation operators: new trends and applications (pp. 224-244). Heidelberg, Unknown/unspecified: Physica-Verlag.
Peer reviewed

Marichal, J.-L. (26 November 2001). Aggregation functions for multicriteria decision aid [Paper presentation]. Mathematics Colloquium, Dept. of Mathematics, Brigham Young University, Provo, Utah, United States.

Dubois, D., Marichal, J.-L., Prade, H., Roubens, M., & Sabbadin, R. (October 2001). The use of the discrete Sugeno integral in decision making: a survey. International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems, 9 (5), 539-561. doi:10.1016/S0218-4885(01)00105-8
Peer Reviewed verified by ORBi

Marichal, J.-L. (22 June 2001). Behavioral analysis of aggregation in multicriteria decision aid [Paper presentation]. Applied Mathematics Seminar, Dept. of Applied Mathematics, University of Venice, Venice, Italy.

Marichal, J.-L., & Mathonet, P. (April 2001). On comparison meaningfulness of aggregation functions. Journal of Mathematical Psychology, 45 (2), 213-223. doi:10.1006/jmps.1999.1309
Peer reviewed

Marichal, J.-L. (February 2001). An axiomatic approach of the discrete Sugeno integral as a tool to aggregate interacting criteria in a qualitative framework. IEEE Transactions on Fuzzy Systems, 9 (1), 164-172. doi:10.1109/91.917122
Peer Reviewed verified by ORBi

Marichal, J.-L., & Roubens, M. (2001). On a sorting procedure in the presence of qualitative interacting points of view. In E. P. Klement & M. Roubens (Eds.), Proc. 22nd Linz Seminar on Fuzzy Set Theory (LINZ 2001): Valued Relations and Capacities in Decision Theory (pp. 64-75). Linz, Austria: Universitätsdirektion, Johannes Kepler Universität.
Peer reviewed

Marichal, J.-L., & Roubens, M. (2001). On a sorting procedure in the presence of qualitative interacting points of view. In J. Chojcan & J. Leski (Eds.), Fuzzy sets and their applications (pp. 217-230). Gliwice, Poland: Silesian University Press.
Peer reviewed

Dubois, D., Marichal, J.-L., Prade, H., Roubens, M., & Sabbadin, R. (2001). The use of the discrete Sugeno integral in decision making: a survey. In A. Colorni, M. Paruccini, ... B. Roy (Eds.), AMCDA - Aide Multi Critère à la Décision (Multiple Criteria Decision Aiding) (pp. 81-98). Luxembourg, Unknown/unspecified: European Communities. doi:10.1016/S0218-4885(01)00105-8
Peer reviewed

Marichal, J.-L. (01 December 2000). The influence of variables on pseudo-Boolean functions with applications to game theory and multicriteria decision making. Discrete Applied Mathematics, 107 (1-3), 139-164. doi:10.1016/S0166-218X(00)00264-X
Peer reviewed

Marichal, J.-L. (December 2000). An axiomatic approach of the discrete Choquet integral as a tool to aggregate interacting criteria. IEEE Transactions on Fuzzy Systems, 8 (6), 800-807. doi:10.1109/91.890347
Peer Reviewed verified by ORBi

Marichal, J.-L., & Roubens, M. (December 2000). Entropy of discrete fuzzy measures. International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems, 8 (6), 625-640. doi:10.1142/S0218488500000460
Peer Reviewed verified by ORBi

Marichal, J.-L. (2000). On perfect, amicable, and sociable chains. ORBilu-University of Luxembourg. https://orbilu.uni.lu/handle/10993/7261.

Marichal, J.-L. (16 September 2000). On Sugeno integral as an aggregation function. Fuzzy Sets and Systems, 114 (3), 347-365. doi:10.1016/S0165-0114(98)00116-X
Peer Reviewed verified by ORBi

Marichal, J.-L. (16 September 2000). On the associativity functional equation. Fuzzy Sets and Systems, 114 (3), 381-389. doi:10.1016/S0165-0114(98)00332-7
Peer Reviewed verified by ORBi

Marichal, J.-L., & Roubens, M. (August 2000). Determination of weights of interacting criteria from a reference set. European Journal of Operational Research, 124 (3), 641-650. doi:10.1016/S0377-2217(99)00182-4
Peer reviewed

Marichal, J.-L., & Roubens, M. (July 2000). On the entropy of non-additive weights [Paper presentation]. 17th Eur. Conf. on Operational Research (EURO XVII), Budapest, Hungary.

Marichal, J.-L., & Roubens, M. (2000). Entropy of discrete fuzzy measures. In Proc. 3rd Int. Workshop on Preferences and Decisions (TRENTO 2000) (pp. 135-148). Trento, Italy: Università di Trento. doi:10.1142/S0218488500000460
Peer reviewed

Marichal, J.-L. (2000). Behavioral analysis of aggregation in multicriteria decision aid. In Proc. 3rd Int. Workshop on Preferences and Decisions (TRENTO 2000) (pp. 71-80). Trento, Italy: Università di Trento.
Peer reviewed

Brauner, N., Crama, Y., & Marichal, J.-L. (June 2000). La Recherche Opérationelle: une discipline au service de l'efficacité. Sciences & Gestion: revue de l'Association des diplômés de la Faculté d'Economie, de Gestion et de Sciences Sociales de l'ULg, 278, p. 6-7.

Grabisch, M., Marichal, J.-L., & Roubens, M. (May 2000). Equivalent representations of set functions. Mathematics of Operations Research, 25 (2), 157-178. doi:10.1287/moor.25.2.157.12225
Peer Reviewed verified by ORBi

Marichal, J.-L., & Roubens, M. (April 2000). Entropy of discrete fuzzy measures [Paper presentation]. Int. Workshop on Data Fusion and Aggregation (FUSION 2000), Douz, Tunisia. doi:10.1142/S0218488500000460

Marichal, J.-L. (16 March 2000). L'utilisation de l'intégrale de Sugeno comme opérateur d'agrégation [Paper presentation]. Seminar "Rationalité et intelligence artificielle", Lamsade, University Paris-Dauphine, Paris, France.

Marichal, J.-L. (February 2000). On an axiomatization of the quasi-arithmetic mean values without the symmetry axiom. Aequationes Mathematicae, 59 (1-2), 74-83. doi:10.1007/PL00000129
Peer Reviewed verified by ORBi

Marichal, J.-L. (2000). Behavioral analysis of aggregation in multicriteria decision aid. In J. Fodor, B. De Baets, ... P. Perny (Eds.), Preferences and Decisions under Incomplete Knowledge (pp. 153-178). Heidelberg, Unknown/unspecified: Physica Verlag.
Peer reviewed

Marichal, J.-L. (2000). On Choquet and Sugeno integrals as aggregation functions. In M. Grabisch, T. Murofushi, ... M. Sugeno (Eds.), Fuzzy Measures and Integrals - Theory and Applications (pp. 247-272). Heidelberg, Unknown/unspecified: Physica Verlag.
Peer reviewed

Marichal, J.-L. (January 2000). L'utilisation de l'intégrale de Sugeno discrète en aide multicritère à la décision [Paper presentation]. 3ème Conf. Française de Recherche Opérationnelle (ROADEF 2000), Nantes, France.

Marichal, J.-L. (January 2000). The use of the discrete Sugeno integral in multi-criteria decision making [Paper presentation]. 14th Conf. on Quantitative Methods for Decision Making (ORBEL 14), Fucam, Mons, Belgium. doi:10.1016/S0218-4885(01)00105-8

Marichal, J.-L. (17 December 1999). L'agrégation de critères interactifs au moyen de l'intégrale de Choquet discrète [Paper presentation]. IRIT Seminar, Institut de Recherche en Informatique de Toulouse (IRIT), Toulouse, France.

Marichal, J.-L., & Roubens, M. (22 October 1999). Aide à la décision en présence de données ordinales [Paper presentation]. Seminar of the "Programme 3ème cycle FNRS, Aide à la Décision et Modélisation des Préférences", Université Libre de Bruxelles, Brussels, Belgium.

Marichal, J.-L. (1999). Agrégation de critères interactifs au moyen de l'intégrale de Choquet discrète. In Actes des "Rencontres francophones sur la logique floue et ses applications" (LFA'99), Valenciennes, France, Oct. 21-22, 1999 (pp. 130-140). Toulouse, France: Cépadues-Editions.
Peer reviewed

Marichal, J.-L., & Roubens, M. (1999). Consensus with ordinal data. In Proc. 7th Eur. Congr. on Intelligent Techniques and Soft Computing (EUFIT'99) (pp. 274-275).
Peer reviewed

Marichal, J.-L., & Roubens, M. (1999). Entropy of a Choquet capacity. In G. Mayor & J. Suñer (Eds.), Proceedings of the 1999 EUSFLAT-ESTYLF Joint Conference, Palma de Mallorca, Spain, September 22-25, 1999 (pp. 383-385). Palma de Mallorca, Spain: Universitat de les Illes Balears.
Peer reviewed

Marichal, J.-L., & Roubens, M. (1999). Ordinal aggregation with qualitative scales. In Proc. 50th Meeting of the Eur. Working Group "Multiple Criteria Decision Aiding" (MCDA 50), Cerisy-la-Salle, France, Sep. 28 - Oct. 2, 1999 (pp. 66-68).
Peer reviewed

Marichal, J.-L., & Roubens, M. (August 1999). About the Choquet integral as a tool to aggregate utilities in the presence of interacting points of view [Paper presentation]. The 1999 Conf. of the Int. Federation of Operational Research Societies (IFORS'99), Beijing, China.

Marichal, J.-L., & Roubens, M. (1999). About the Choquet integral as an aggregator in the framework of MCDA with interacting criteria. In B. De Baets, J. Fodor, ... L. T. Kóczy (Eds.), Proc. of the 4th Meeting of the EURO Working Group on Fuzzy Sets and the 2nd Int. Conf. on Soft and Intelligent Computing (EUROFUSE-SIC’99 Joint Conference), Budapest, Hungary, May 25-28, 1999 (pp. 126-131).
Peer reviewed

Grabisch, M., Marichal, J.-L., & Roubens, M. (1999). Equivalent representations of a set function with applications to game theory and multicriteria decision making. In H. de Swart (Ed.), Proc. of the Int. Conf. on Logic, Game theory and Social choice (LGS'99), Oisterwijk, the Netherlands, May 13-16, 1999 (pp. 184-198). Tilburg, Netherlands: Tilburg University Press.
Peer reviewed

Marichal, J.-L., Mathonet, P., & Tousset, E. (01 March 1999). Characterization of some aggregation functions stable for positive linear transformations. Fuzzy Sets and Systems, 102 (2), 293-314. doi:10.1016/S0165-0114(97)00128-0
Peer Reviewed verified by ORBi

Marichal, J.-L. (19 February 1999). Aggregation operators for multicriteria decision aid [Paper presentation]. Mathematical Colloquium, Dept. of Topology and Foundations of Analysis, Institute for Analysis, University of Braunschweig, Braunschweig, Germany.

Marichal, J.-L., & Mathonet, P. (February 1999). A characterization of the ordered weighted averaging functions based on the ordered bisymmetry property. IEEE Transactions on Fuzzy Systems, 7 (1), 93-96. doi:10.1109/91.746319
Peer Reviewed verified by ORBi

Marichal, J.-L. (January 1999). Determination of Weights of Interacting Criteria from a Reference Set [Paper presentation]. 13th Conf. on Quantitative Methods for Decision Making (ORBEL 13), Brussels, Belgium.

Marichal, J.-L. (January 1999). L'intégrale de Choquet en tant qu'outil permettant d'agréger des utilités en présence de points de vue interactifs [Paper presentation]. 2ème Conf. Française de Recherche Opérationnelle (ROADEF'99), Autrans, France.

Marichal, J.-L., & Roubens, M. (1999). The chaining interaction index among players in cooperative games. In N. Meskens & M. Roubens (Eds.), Advances in Decision Analysis (Mons, 1997) (pp. 69-85). Dordrecht, Unknown/unspecified: Kluwer Acad. Publ.
Peer reviewed

Marichal, J.-L. (1998). Aggregation Operators for Multicriteria Decision Aid [Doctoral thesis, ULiège - Université de Liège]. ORBilu-University of Luxembourg. https://orbilu.uni.lu/handle/10993/7224

Marichal, J.-L., & Roubens, M. (06 November 1998). Opérateurs d'agrégation et leurs propriétés en présence de critères interactifs : ii) Applications à l'aide multicritère à la décision [Paper presentation]. Seminar of the "Programme 3ème cycle FNRS, Aide à la Décision et Modélisation des Préférences", Brussels, Belgium.

Marichal, J.-L., & Roubens, M. (30 October 1998). Opérateurs d'agrégation et leurs propriétés en présence de critères interactifs : i) Fondements [Paper presentation]. Seminar of the "Programme 3ème cycle FNRS, Aide à la Décision et Modélisation des Préférences", Brussels, Belgium.

Marichal, J.-L. (22 October 1998). Approximations of the Lovász extension of pseudo-Boolean functions; applications to multicriteria decision making [Paper presentation]. Rutcor Seminar, Rutgers Center for Operations Research (RUTCOR), Rutgers University, NJ, United States.

Grabisch, M., Marichal, J.-L., & Roubens, M. (October 1998). Equivalent representations of a set function with application to game theory and multicriteria decision making [Paper presentation]. The Fall 1998 Meeting of the Institute for Operations Research and the Management Sciences (INFORMS), Seattle, U.S.A., Oct. 25-28, 1998, Seattle, Washington, United States.

Marichal, J.-L. (1998). On Sugeno integral as an aggregation function. In Proc. 6th Eur. Congr. on Intelligent Techniques and Soft Computing (EUFIT'98) (pp. 540-544). doi:10.1016/S0165-0114(98)00116-X
Peer reviewed

Marichal, J.-L., & Roubens, M. (1998). Determination of weights of interacting criteria from a reference set. In Proc. 48th Meeting of the Eur. Working Group "Multiple Criteria Decision Aiding" (MCDA 48).
Peer reviewed

Marichal, J.-L., & Roubens, M. (July 1998). Power Indices based on Ordinal Games [Paper presentation]. 16th Eur. Conf. on Operational Research (EURO XVI), Brussels, Belgium.

Marichal, J.-L. (July 1998). On Sugeno Integral as an Aggregation Function [Paper presentation]. 16th Eur. Conf. on Operational Research (EURO XVI), Brussels, Belgium. doi:10.1016/S0165-0114(98)00116-X

Marichal, J.-L., & Roubens, M. (1998). Dependence between criteria and multiple criteria decision aid. In Proc. 2nd Int. Workshop on Preferences and Decision (TRENTO'98) (pp. 69-75). Trento, Italy: Università di Trento.
Peer reviewed

Marichal, J.-L., & Roubens, M. (April 1998). Détermination des poids des critères interactifs à partir d'un ensemble de référence [Paper presentation]. Deuxièmes Journées Francophones de Recherche Opérationnelle (FRANCORO II), Sousse, Tunisia.

Fodor, J., & Marichal, J.-L. (August 1997). On nonstrict means. Aequationes Mathematicae, 54 (3), 308-327. doi:10.1007/BF02755462
Peer Reviewed verified by ORBi

Marichal, J.-L. (22 May 1997). Aggregation of ordinal data and open problems related to possibilistic approximation of monotonic set functions [Paper presentation]. One-day conference on "Cooperative games and multicriteria decision aid", University of Liège, Liège, Belgium.

Fodor, J., & Marichal, J.-L. (1997). On nonstrict means. In Proc. of the Int. Conf. on Methods and Applications of Multicriteria Decision Making (ICMAM'97), Mons, Belgium, May 14-16, 1997 (pp. 200-203).
Peer reviewed

Marichal, J.-L. (April 1997). On Sugeno integral as an aggregation function [Paper presentation]. Seminar, Thomson-CSF, Lab. Central de Recherche, Orsay, France.

Marichal, J.-L., Mathonet, P., & Tousset, E. (January 1997). Characterization of some aggregation functions stable for positive linear transformations [Paper presentation]. 11th Conf. on Quantitative Methods for Decision Making (ORBEL 11), Namur, Belgium, Jan. 16-17, 1997, Namur, Belgium. doi:10.1016/S0165-0114(97)00128-0

Marichal, J.-L. (24 October 1996). Interaction between criteria through the use of fuzzy measures [Paper presentation]. Seminar "Logik und Wissenschaftstheorie", University of Leipzig, Leipzig, Germany.

Marichal, J.-L. (18 October 1996). Caractérisation de certaines fonctions d'agrégation utilisées en analyse multicritère [Paper presentation]. Seminar of the "Groupe d'Etude des Mathématiques du Management et de l'Economie (GEMME)", Faculty of Economics, University of Liège, Liège, Belgium.

Marichal, J.-L., Mathonet, P., & Tousset, E. (1996). Characterization of some aggregation functions stable for positive linear transformations. In Proc. 44th Meeting of the Eur. Working Group "Multiple Criteria Decision Aiding" (MCDA 44), Brussels, Belgium, Oct. 3-4, 1996.
Peer reviewed

Fodor, J., & Marichal, J.-L. (January 1996). On nonstrict means [Paper presentation]. 10th Conf. on Quantitative Methods for Decision Making (ORBEL 10), Brussels, Belgium, Jan. 18-19, 1996, Brussels, Belgium.

Marichal, J.-L. (1996). Les chaînes magiques. Mathématique et Pédagogie, 108, p. 49-51.

Fodor, J., Marichal, J.-L., & Roubens, M. (1995). Characterization of some aggregation functions arising from MCDM problems. In B. Bouchon-Meunier, R. R. Yager, ... L. A. Zadeh (Eds.), Fuzzy Logic and Soft Computing (pp. 194-201). Singapore, Unknown/unspecified: World Scientific Publishing. doi:10.1142/9789812830753_0023
Peer reviewed

Fodor, J., Marichal, J.-L., & Roubens, M. (May 1995). Characterization of the ordered weighted averaging operators. IEEE Transactions on Fuzzy Systems, 3 (2), 236-240. doi:10.1109/91.388176
Peer Reviewed verified by ORBi

Fodor, J., Marichal, J.-L., & Roubens, M. (1994). Characterization of some aggregation functions arising from MCDM problems. In B. Bouchon-Meunier, R. R. Yager, ... L. A. Zadeh (Eds.), Proc. 5th Int. Conf. on Information Processing and Management of Uncertainty in Knowledge-Based Systems (IPMU'94) (pp. 1026-1031).
Peer reviewed

Marichal, J.-L., & Roubens, M. (1993). Characterization of some stable aggregation functions. In Proc. 1st Int. Conf. on Industrial Engineering and Production Management (IEPM’93) (pp. 187-196). Mons, Belgium: Fucam.
Peer reviewed

Marichal, J.-L. (1992). Caractérisation de méthodes de rangement basées sur des relations binaires valuées [Bachelor/master dissertation, ULiège - Université de Liège]. ORBilu-University of Luxembourg. https://orbilu.uni.lu/handle/10993/7225

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