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MATHONET Pierre

Main Referenced Co-authors
MARICHAL, Jean-Luc  (28)
PONCIN, Norbert  (3)
Tousset, Eric (3)
Frégier, Yaël (2)
WALDHAUSER, Tamás  (2)
Main Referenced Keywords
aggregation functions (3); interaction index (3); least squares approximation (3); System signature (3); algebraic properties of aggregation operators (2);
Main Referenced Unit & Research Centers
Mathematics Research Unit (6)
Mathematics Research Unit (FSTC) (2)
Main Referenced Disciplines
Mathematics (32)
Quantitative methods in economics & management (12)
Civil engineering (8)

Publications (total 32)

The most downloaded
1039 downloads
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. https://hdl.handle.net/10993/17032

The most cited

42 citations (Scopus®)

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 https://hdl.handle.net/10993/1456

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

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., & 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
Peer Reviewed verified by ORBi

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., & 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
Peer Reviewed verified by ORBi

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
Peer Reviewed verified by ORBi

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

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

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

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.

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

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

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. (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.

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. (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

Frégier, Y., Mathonet, P., & Poncin, N. (2008). Dequantized differential operators between tensor densities as modules over the Lie algebra of contact vector fields. ORBilu-University of Luxembourg. https://orbilu.uni.lu/handle/10993/14097.

Frégier, Y., Mathonet, P., & Poncin, N. (2008). Decomposition of symmetric tensor fields in the presence of a flat contact projective structure. Journal of Nonlinear Mathematical Physics, 15 (2), 252--269. doi:10.2991/jnmp.2008.15.2.10
Peer reviewed

Mathonet, P., Niederkorn, P., & Teheux, B. (2007). Natural dualities for varieties generated by a set of subalgebras of a semi-primal algebra. Algebra and Discrete Mathematics, (1), 67--85.
Peer reviewed

Boniver, F., Hansoul, S., Mathonet, P., & Poncin, N. (2002). Equivariant symbol calculus for differential operators acting on forms. Letters in Mathematical Physics, 62 (3), 219-232. doi:10.1023/A:1022251607566
Peer reviewed

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., 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., & 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., 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., 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

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