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La formule de Clark-Ocone et ses généralisations Schiltz, Jang Presentation (2000, December 13) Detailed reference viewed: 45 (0 UL)The influence of variables on pseudo-Boolean functions with applications to game theory and multicriteria decision making Marichal, Jean-Luc in Discrete Applied Mathematics (2000), 107(1-3), 139-164 The power of players in a collective decision process is a central issue in game theory. For this reason, the concept of influence of players on a simple game has been introduced. More generally, the ... [more ▼] The power of players in a collective decision process is a central issue in game theory. For this reason, the concept of influence of players on a simple game has been introduced. More generally, the influence of variables on Boolean functions has been defined and studied. We extend this concept to pseudo-Boolean functions, thus making it possible to appraise the degree of influence of any coalition of players in cooperative games. In the case of monotone games, we also point out the links with the concept of interaction among players. Although they do not have the same meaning at all, both influence and interaction functions coincide on singletons with the so-called Banzhaf power index. We also define the influence of variables on continuous extensions of pseudo-Boolean functions. In particular, the Lovász extension, also called discrete Choquet integral, is used in multicriteria decision making problems as an aggregation operator. In such problems, the degree of influence of decision criteria on the aggregation process can then be quite relevant information. We give the explicit form of this influence for the Choquet integral and its classical particular cases. [less ▲] Detailed reference viewed: 19 (4 UL)Entropy of discrete fuzzy measures Marichal, Jean-Luc ; in International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems (2000), 8(6), 625-640 The concept of entropy of a discrete fuzzy measure has been recently introduced in two different ways. A first definition was proposed by Marichal in the aggregation framework, and a second one by Yager ... [more ▼] The concept of entropy of a discrete fuzzy measure has been recently introduced in two different ways. A first definition was proposed by Marichal in the aggregation framework, and a second one by Yager in the framework of uncertain variables. We present a comparative study between these two proposals and point out their properties. We also propose a definition for the entropy of an ordinal fuzzy measure, that is, a fuzzy measure taking its values in an ordinal scale in the sense of measurement theory. [less ▲] Detailed reference viewed: 13 (2 UL)An axiomatic approach of the discrete Choquet integral as a tool to aggregate interacting criteria Marichal, Jean-Luc in IEEE Transactions on Fuzzy Systems (2000), 8(6), 800-807 The most often used operator to aggregate criteria in decision making problems is the classical weighted arithmetic mean. In many problems however, the criteria considered interact, and a substitute to ... [more ▼] The most often used operator to aggregate criteria in decision making problems is the classical weighted arithmetic mean. In many problems however, the criteria considered interact, and a substitute to the weighted arithmetic mean has to be adopted. We show that, under rather natural conditions, the discrete Choquet integral is an adequate aggregation operator that extends the weighted arithmetic mean by the taking into consideration of the interaction among criteria. The axiomatic that supports the Choquet integral is presented and an intuitive approach is proposed as well. [less ▲] Detailed reference viewed: 38 (6 UL)Différentiation sur les espaces de Sobolev généralisés Schiltz, Jang Presentation (2000, November 25) Detailed reference viewed: 16 (0 UL)Le chaos de Wiener et l'intégrale de Skohorod Schiltz, Jang Presentation (2000, November 15) Detailed reference viewed: 15 (0 UL)On perfect, amicable, and sociable chains Marichal, Jean-Luc E-print/Working paper (2000) Let $\bfx = (x_0,\ldots,x_{n-1})$ be an $n$-chain, i.e., an $n$-tuple of non-negative integers $< n$. Consider the operator $s: \bfx \mapsto\bfx' = (x'_0,\ldots,x'_{n-1})$, where $x'_j$ represents the ... [more ▼] Let $\bfx = (x_0,\ldots,x_{n-1})$ be an $n$-chain, i.e., an $n$-tuple of non-negative integers $< n$. Consider the operator $s: \bfx \mapsto\bfx' = (x'_0,\ldots,x'_{n-1})$, where $x'_j$ represents the number of $j$'s appearing among the components of $\bfx$. An $n$-chain $\bfx$ is said to be perfect if $s(\bfx) = \bfx$. For example, (2,1,2,0,0) is a perfect 5-chain. Analogously to the theory of perfect, amicable, and sociable numbers, one can define from the operator $s$ the concepts of amicable pair and sociable group of chains. In this paper we give an exhaustive list of all the perfect, amicable, and sociable chains. [less ▲] Detailed reference viewed: 14 (2 UL)On Sugeno integral as an aggregation function Marichal, Jean-Luc in Fuzzy Sets & Systems (2000), 114(3), 347-365 The Sugeno integral, for a given fuzzy measure, is studied under the viewpoint of aggregation. In particular, we give some equivalent expressions of it. We also give an axiomatic characterization of the ... [more ▼] The Sugeno integral, for a given fuzzy measure, is studied under the viewpoint of aggregation. In particular, we give some equivalent expressions of it. We also give an axiomatic characterization of the class of all the Sugeno integrals. Some particular subclasses, such as the weighted maximum and minimum functions are investigated as well. [less ▲] Detailed reference viewed: 20 (1 UL)On the associativity functional equation Marichal, Jean-Luc in Fuzzy Sets & Systems (2000), 114(3), 381-389 Let [a,b] be any bounded closed real interval. The class of all continuous, nondecreasing, associative functions M : [a,b]^2 --> [a,b] fulfilling the boundary conditions M(a,a)=a and M(b,b)=b is described. Detailed reference viewed: 37 (3 UL)Eindrucksbildung aus Personbeschreibungen: Syntaktische Kohärenz und soziale Informationsverarbeitung. Krolak-Schwerdt, Sabine ; Scientific Conference (2000, September) Detailed reference viewed: 3 (0 UL)Mentale Modelle beim Verstehen von Personbeschreibungen: Konsistenz der Information und Kohärenz des Textes. ; Krolak-Schwerdt, Sabine Scientific Conference (2000, September) Detailed reference viewed: 4 (0 UL)Influence de l'expression émotionnelle de l'einseignant sur l'agressivité des élèves Steffgen, Georges Scientific Conference (2000, September) Detailed reference viewed: 9 (0 UL)Steigert Selbstvertrauen die Leistung beim Bewegungslernen Bund, Andreas in dvs-Informationen (2000), 15 Detailed reference viewed: 31 (0 UL)Determination of weights of interacting criteria from a reference set Marichal, Jean-Luc ; in European Journal of Operational Research (2000), 124(3), 641-650 In this paper, we present a model allowing to determine the weights related to interacting criteria. This is done on the basis of the knowledge of a partial ranking over a reference set of alternatives ... [more ▼] In this paper, we present a model allowing to determine the weights related to interacting criteria. This is done on the basis of the knowledge of a partial ranking over a reference set of alternatives (prototypes), a partial ranking over the set of criteria, and a partial ranking over the set of interactions between pairs of criteria. [less ▲] Detailed reference viewed: 30 (4 UL)The Sectio Aurea in a Fugue by Darius Milhaud Anders-Malvetti, Ursula Presentation (2000, July 17) Detailed reference viewed: 22 (3 UL)Adaptability in strategy choice: example of Blocks Designs task Houssemand, Claude Scientific Conference (2000, July) Detailed reference viewed: 56 (0 UL)On the entropy of non-additive weights Marichal, Jean-Luc ; Scientific Conference (2000, July) We consider a Choquet capacity, that is a set function which describes the importance of every subset of criteria in a MCDA problem. The following question is approached: what is the generalized ... [more ▼] We consider a Choquet capacity, that is a set function which describes the importance of every subset of criteria in a MCDA problem. The following question is approached: what is the generalized counterpart of the Shannon entropy (defined for a probabilistic measure) for such a capacity? The extension that is proposed depends on the scale type. In the cardinal case, the entropy is defined in terms of the first derivatives of the non-additive measures. In the ordinal case, it refers to the cardinality of the scale values that appear in the set of all capacities. Both generalized entropies are symmetric functions of the capacities and their extreme values (max entropy and min entropy) are characterized. An application to the determination of weights is given when interacting criteria are considered. [less ▲] Detailed reference viewed: 11 (0 UL)Transcriptional modulation of the anti-apoptotic protein BCL-XL by the paired box transcription factors PAX3 and PAX3/FKHR Margue, Christiane ; ; et al in Oncogene (2000), 19(25), 2921 The aberrant expression of the transcription factors PAX3 and PAX3/FKHR associated with rhabdomyosarcoma (RMS), solid tumors displaying muscle cell features, suggests that these proteins play an important ... [more ▼] The aberrant expression of the transcription factors PAX3 and PAX3/FKHR associated with rhabdomyosarcoma (RMS), solid tumors displaying muscle cell features, suggests that these proteins play an important role in the pathogenesis of RMS. We could previously demonstrate that one of the oncogenic functions of PAX3 and PAX3/FKHR in RMS is protection from apoptosis. BCL-XL is a prominent anti-apoptotic protein present in normal skeletal muscle and RMS cells. In the present study, we establish that BCL-XL is transcriptionally modulated by PAX3 and PAX3/FKHR, since enhanced expression of both PAX proteins stimulates transcription of endogenous BCL-XL mRNA in a cell type specific manner. Further, we present evidence that both PAX3 and PAX3/FKHR can transcriptionally activate the Bcl-x gene promoter in cotransfection assays. Using electrophoretic mobility shift assays, an ATTA binding site for PAX3 and PAX3/FKHR could be localized in the upstream promoter region (position -42 to -39). Finally, ectopic overexpression of either PAX3, PAX3/FKHR or BCL-XL can rescue tumor cells from apoptosis induced by antisense treatment. These results suggest that at least part of the anti-apoptotic effect of PAX3 and PAX3/FKHR is mediated through direct transcriptional modulation of the prominent anti-apoptotic protein BCL-XL. [less ▲] Detailed reference viewed: 6 (0 UL)Wie man Volkslieder analysiert. Vorstellung meiner Dissertation Sagrillo, Damien Article for general public (2000) Detailed reference viewed: 22 (0 UL)Entropy of discrete fuzzy measures Marichal, Jean-Luc ; in Proc. 3rd Int. Workshop on Preferences and Decisions (TRENTO 2000) (2000, June) The concept of entropy of a discrete fuzzy measure has been recently introduced in two different ways. A first definition was proposed by Marichal [10] in the aggregation framework, and a second one by ... [more ▼] The concept of entropy of a discrete fuzzy measure has been recently introduced in two different ways. A first definition was proposed by Marichal [10] in the aggregation framework, and a second one by Yager [25] in the framework of uncertain variables. We present a comparative study between these two proposals and point out their properties. We also propose a definition for the entropy of an ordinal fuzzy measure, that is, a fuzzy measure taking its values in an ordinal scale in the sense of measurement theory. [less ▲] Detailed reference viewed: 12 (1 UL) |
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