Edit Profile (opens in new tab) Marichal, Jean-Luc Co-Author Distance Author ID: marichal.jean-luc Published as: Marichal, Jean-Luc; Marichal, J.-L.; Marichal, Jean Luc; Marichal, J. L. more...less External Links: MGP Documents Indexed: 106 Publications since 1995, including 2 Books and 6 Additional arXiv Preprints 1 Contribution as Editor Co-Authors: 32 Co-Authors with 84 Joint Publications 929 Co-Co-Authors all top 5 Co-Authors 23 single-authored 21 Couceiro, Miguel 19 Mathonet, Pierre 13 Teheux, Bruno 8 Roubens, Marc 6 Kojadinovic, Ivan 6 Mesiar, Radko 5 Devillet, Jimmy 5 Grabisch, Michel 4 Kiss, Gergely 3 Bisdorff, Raymond 3 Dukhovny, Alexander M. 3 Pap, Endre 2 Fodor, János C. 2 Fujimoto, Katsushige 2 Meyer, Patrick 2 Waldhauser, Tamás 2 Zenaïdi, Naïm 1 Cardin, Marta 1 Dorff, Michael John 1 Dubois, Didier 1 Giove, Silvio 1 Labreuche, Christophe 1 Lehtonen, Erkko 1 Lundberg, G. H. 1 Mossinghoff, Michael J. 1 Paroissin, Christian 1 Prade, Henri M. 1 Rückschlossová, Tatiana 1 Sabbadin, Régis 1 Spizzichino, Fabio L. 1 Tomaschek, Jörg 1 Tousset, Eric all top 5 Serials 12 Aequationes Mathematicae 8 Fuzzy Sets and Systems 8 European Journal of Operational Research 7 Discrete Applied Mathematics 6 Semigroup Forum 5 Journal of Multivariate Analysis 4 Statistics & Probability Letters 3 Journal of Mathematical Analysis and Applications 3 Beiträge zur Algebra und Geometrie 3 Information Sciences 3 Order 3 International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems 2 Journal of Mathematical Psychology 2 Results in Mathematics 2 Acta Mathematica Hungarica 2 Journal of Multiple-Valued Logic and Soft Computing 1 Discrete Mathematics 1 Rocky Mountain Journal of Mathematics 1 Journal of Applied Probability 1 Journal of Computational and Applied Mathematics 1 Mathematics of Operations Research 1 Computers & Operations Research 1 Applied Mathematics Letters 1 Games and Economic Behavior 1 Journal of Integer Sequences 1 Probability in the Engineering and Informational Sciences 1 Stochastic Models 1 Encyclopedia of Mathematics and Its Applications 1 Developments in Mathematics 1 Online Journal of Analytic Combinatorics 1 Asian-European Journal of Mathematics 1 Axioms all top 5 Fields 34 Difference and functional equations (39-XX) 29 Operations research, mathematical programming (90-XX) 28 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 21 Measure and integration (28-XX) 18 Statistics (62-XX) 15 Order, lattices, ordered algebraic structures (06-XX) 15 Real functions (26-XX) 14 Information and communication theory, circuits (94-XX) 7 Group theory and generalizations (20-XX) 7 Probability theory and stochastic processes (60-XX) 7 Computer science (68-XX) 5 General algebraic systems (08-XX) 4 Mathematical logic and foundations (03-XX) 4 Combinatorics (05-XX) 4 Commutative algebra (13-XX) 3 Geometry (51-XX) 2 General and overarching topics; collections (00-XX) 2 Number theory (11-XX) 2 Special functions (33-XX) 2 Convex and discrete geometry (52-XX) 1 Nonassociative rings and algebras (17-XX) 1 Topological groups, Lie groups (22-XX) 1 Approximations and expansions (41-XX) 1 Functional analysis (46-XX) 1 Algebraic topology (55-XX) 1 Numerical analysis (65-XX) 1 Systems theory; control (93-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 83 Publications have been cited 1,353 times in 837 Documents Cited by ▼ Year ▼ Aggregation functions. Zbl 1196.00002 Grabisch, Michel; Marichal, Jean-Luc; Mesiar, Radko; Pap, Endre 256 2009 Aggregation functions: means. Zbl 1206.68298 Grabisch, Michel; Marichal, Jean-Luc; Mesiar, Radko; Pap, Endre 79 2011 Equivalent representations of set functions. Zbl 0982.91009 Grabisch, Michel; Marichal, Jean-Luc; Roubens, Marc 72 2000 Aggregation functions: construction methods, conjunctive, disjunctive and mixed classes. Zbl 1206.68299 Grabisch, Michel; Marichal, Jean-Luc; Mesiar, Radko; Pap, Endre 62 2011 Determination of weights of interacting criteria from a reference set. Zbl 0969.90081 Marichal, Jean-Luc; Roubens, Marc 60 2000 On Sugeno integral as an aggregation function. Zbl 0971.28010 Marichal, Jean-Luc 51 2000 Tolerant or intolerant character of interacting criteria in aggregation by the Choquet integral. Zbl 1044.90074 Marichal, Jean-Luc 44 2004 The use of the discrete Sugeno integral in decision-making: a survery. Zbl 1113.90335 Dubois, D.; Marichal, J. L.; Prade, H.; Roubens, M.; Sabbadin, R. 41 2001 Characterizations of discrete Sugeno integrals as polynomial functions over distributive lattices. Zbl 1183.28031 Couceiro, Miguel; Marichal, Jean-Luc 33 2010 On the associativity functional equation. Zbl 0962.39012 Marichal, Jean-Luc 32 2000 Axiomatic characterizations of probabilistic and cardinal-probabilistic interaction indices. Zbl 1138.91324 Fujimoto, Katsushige; Kojadinovic, Ivan; Marichal, Jean-Luc 30 2006 Entropy of discrete Choquet capacities. Zbl 1035.94006 Marichal, Jean-Luc 28 2002 \(k\)-intolerant capacities and Choquet integrals. Zbl 1110.90053 Marichal, Jean-Luc 27 2007 Weighted lattice polynomials. Zbl 1166.06006 Marichal, Jean-Luc 26 2009 Sorting multi-attribute alternatives: the TOMASO method. Zbl 1071.90550 Marichal, Jean-Luc; Meyer, Patrick; Roubens, Marc 24 2005 On signature-based expressions of system reliability. Zbl 1219.62154 Marichal, Jean-Luc; Mathonet, Pierre; Waldhauser, Tamás 23 2011 Aggregation of interacting criteria by means of the discrete Choquet integral. Zbl 1041.28015 Marichal, Jean-Luc 22 2002 Extensions of system signatures to dependent lifetimes: explicit expressions and interpretations. Zbl 1215.62108 Marichal, Jean-Luc; Mathonet, Pierre 20 2011 An axiomatic approach to the definition of the entropy of a discrete Choquet capacity. Zbl 1074.94006 Kojadinovic, Ivan; Marichal, Jean-Luc; Roubens, Marc 19 2005 Behavioral analysis of aggregation in multicriteria decision aid. Zbl 1002.91013 Marichal, Jean-Luc 19 2000 Associative polynomial functions over bounded distributive lattices. Zbl 1292.06002 Couceiro, Miguel; Marichal, Jean-Luc 16 2011 Characterizations of idempotent discrete uninorms. Zbl 1380.03043 Couceiro, Miguel; Devillet, Jimmy; Marichal, Jean-Luc 16 2018 The influence of variables on pseudo-Boolean functions with applications to game theory and multicriteria decision making. Zbl 1005.91012 Marichal, Jean-Luc 16 2000 Entropy of discrete fuzzy measures. Zbl 0980.94004 Marichal, Jean-Luc; Roubens, Marc 15 2000 Characterization of some aggregation functions stable for positive linear transformations. Zbl 0952.91020 Marichal, Jean-Luc; Mathonet, Pierre; Tousset, Eric 13 1999 On nonstrict means. Zbl 0907.39021 Fodor, János C.; Marichal, Jean-Luc 13 1997 Joint signature of two or more systems with applications to multistate systems made up of two-state components. Zbl 1380.90100 Marichal, Jean-Luc; Mathonet, Pierre; Navarro, Jorge; Paroissin, Christian 13 2017 A description of \(n\)-ary semigroups polynomial-derived from integral domains. Zbl 1245.20072 Marichal, Jean-Luc; Mathonet, Pierre 12 2011 On order invariant synthesizing functions. Zbl 1038.91072 Marichal, Jean-Luc 12 2002 On Choquet and Sugeno integrals as aggregation functions. Zbl 0968.28012 Marichal, Jean-Luc 11 2000 Slices, slabs, and sections of the unit hypercube. Zbl 1189.52011 Marichal, Jean-Luc; Mossinghoff, Michael J. 10 2008 On comparison meaningfulness of aggregation functions. Zbl 1015.91058 Marichal, Jean-Luc; Mathonet, Pierre 10 2001 Characterizations of quasitrivial symmetric nondecreasing associative operations. Zbl 1454.20125 Devillet, Jimmy; Kiss, Gergely; Marichal, Jean-Luc 10 2019 Quasi-polynomial functions over bounded distributive lattices. Zbl 1221.28022 Couceiro, Miguel; Marichal, Jean-Luc 9 2010 Representations and characterizations of polynomial functions on chains. Zbl 1236.28010 Couceiro, Miguel; Marichal, Jean-Luc 9 2010 On an axiomatization of the quasi-arithmetic mean values without the symmetry axiom. Zbl 0945.39014 Marichal, Jean-Luc 9 2000 Axiomatizations of quasi-polynomial functions on bounded chains. Zbl 1257.28008 Couceiro, Miguel; Marichal, Jean-Luc 8 2009 Meaningful aggregation functions mapping ordinal scales into an ordinal scale: a state of the art. Zbl 1204.39022 Marichal, Jean-Luc; Mesiar, Radko 8 2009 The chaining interaction index among players in cooperative games. Zbl 0960.91015 Marichal, Jean-Luc; Roubens, Marc 8 1999 Cumulative distribution functions and moments of lattice polynomials. Zbl 1101.62008 Marichal, Jean-Luc 8 2006 On modular decompositions of system signatures. Zbl 1346.60132 Marichal, Jean-Luc; Mathonet, Pierre; Spizzichino, Fabio 8 2015 Associative string functions. Zbl 1322.20053 Lehtonen, Erkko; Marichal, Jean-Luc; Teheux, Bruno 8 2014 Aczélian \(n\)-ary semigroups. Zbl 1259.22003 Couceiro, Miguel; Marichal, Jean-Luc 8 2012 Barycentrically associative and preassociative functions. Zbl 1363.39031 Marichal, J.-L.; Teheux, B. 8 2015 On the extensions of Barlow-Proschan importance index and system signature to dependent lifetimes. Zbl 1294.62236 Marichal, Jean-Luc; Mathonet, Pierre 8 2013 Quasitrivial semigroups: characterizations and enumerations. Zbl 1468.20099 Couceiro, Miguel; Devillet, Jimmy; Marichal, Jean-Luc 7 2019 Weighted Banzhaf power and interaction indexes through weighted approximations of games. Zbl 1250.91014 Marichal, Jean-Luc; Mathonet, Pierre 7 2011 Reliability of systems with dependent components based on lattice polynomial description. Zbl 1236.90041 Dukhovny, Alexander; Marichal, Jean-Luc 6 2012 Polynomial functions over bounded distributive lattices. Zbl 1236.06004 Couceiro, Miguel; Marichal, Jean-Luc 6 2012 Axiomatic characterizations of generalized values. Zbl 1151.91344 Marichal, Jean-Luc; Kojadinovic, Ivan; Fujimoto, Katsushige 6 2007 A complete description of comparison meaningful functions. Zbl 1072.39021 Marichal, Jean-Luc; Mesiar, Radko; Rückschlossová, Tatiana 6 2005 Associative and preassociative functions. Zbl 1312.08003 Marichal, Jean-Luc; Teheux, Bruno 6 2014 Computing system signatures through reliability functions. Zbl 1264.90078 Marichal, Jean-Luc; Mathonet, Pierre 6 2013 Solving Chisini’s functional equation. Zbl 1214.26017 Marichal, Jean-Luc 5 2010 Algorithms and formulae for conversion between system signatures and reliability functions. Zbl 1327.62498 Marichal, Jean-Luc 5 2015 Conservative median algebras and semilattices. Zbl 1345.06004 Couceiro, Miguel; Marichal, Jean-Luc; Teheux, Bruno 5 2016 Aggregation on finite ordinal scales by scale independent functions. Zbl 1093.91060 Marichal, Jean-Luc; Mesiar, Radko 4 2004 System reliability and weighted lattice polynomials. Zbl 1211.90057 Dukhovny, Alexander; Marichal, Jean-Luc 4 2008 Characterization of some aggregation functions arising from MCDM problems. Zbl 1028.90526 Fodor, János C.; Marichal, Jean-Luc; Roubens, Marc 3 1995 Axiomatizations of quasi-Lovász extensions of pseudo-Boolean functions. Zbl 1243.39016 Couceiro, Miguel; Marichal, Jean-Luc 3 2011 Axiomatizations of Lovász extensions of pseudo-Boolean functions. Zbl 1242.39029 Couceiro, Miguel; Marichal, Jean-Luc 3 2011 A classification of barycentrically associative polynomial functions. Zbl 1333.39023 Marichal, Jean-Luc; Mathonet, Pierre; Tomaschek, Jörg 3 2015 On the generalized associativity equation. Zbl 1372.39026 Marichal, Jean-Luc; Teheux, Bruno 3 2017 Preassociative aggregation functions. Zbl 1360.68843 Marichal, Jean-Luc; Teheux, Bruno 3 2015 A generalization of the concept of distance based on the simplex inequality. Zbl 1393.39019 Kiss, Gergely; Marichal, Jean-Luc; Teheux, Bruno 3 2018 Weighted lattice polynomials of independent random variables. Zbl 1132.62009 Marichal, Jean-Luc 2 2008 Distribution functions of linear combinations of lattice polynomials from the uniform distribution. Zbl 1141.62008 Marichal, Jean-Luc; Kojadinovic, Ivan 2 2008 Axiomatizations of signed discrete Choquet integrals. Zbl 1382.28015 Cardin, Marta; Couceiro, Miguel; Giove, Silvio; Marichal, Jean-Luc 2 2011 Entropy of bi-capacities. Zbl 1102.90348 Kojadinovic, Ivan; Marichal, Jean-Luc 2 2007 Discrete integrals based on comonotonic modularity. Zbl 1296.28021 Couceiro, Miguel; Marichal, Jean-Luc 2 2013 Counting non-isomorphic maximal independent sets of the \(n\)-cycle graph. Zbl 1165.05336 Bisdorff, Raymond; Marichal, Jean-Luc 2 2008 Subsignatures of systems. Zbl 1359.62433 Marichal, Jean-Luc 2 2014 Multivariate integration of functions depending explicitly on the minimum and the maximum of the variables. Zbl 1134.28012 Marichal, Jean-Luc 1 2008 Derivative relationships between volume and surface area of compact regions in \({\mathbb R}^d\). Zbl 1148.52009 Marichal, Jean-Luc; Dorff, Michael 1 2007 Locally monotone Boolean and pseudo-Boolean functions. Zbl 1263.06005 Couceiro, Miguel; Marichal, Jean-Luc; Waldhauser, Tamás 1 2012 On the moments and distribution of discrete Choquet integrals from continuous distributions. Zbl 1166.60009 Kojadinovic, Ivan; Marichal, Jean-Luc 1 2009 Disaggregation of bipolar-valued outranking relations. Zbl 1160.90530 Meyer, Patrick; Marichal, Jean-Luc; Bisdorff, Raymond 1 2008 Approximations of Lovász extensions and their induced interaction index. Zbl 1152.90580 Marichal, Jean-Luc; Mathonet, Pierre 1 2008 Pivotal decompositions of functions. Zbl 1310.06009 Marichal, Jean-Luc; Teheux, Bruno 1 2014 Computing subsignatures of systems with exchangeable component lifetimes. Zbl 1302.62220 Marichal, Jean-Luc 1 2014 A characterization of barycentrically preassociative functions. Zbl 1383.39024 Marichal, Jean-Luc; Teheux, Bruno 1 2016 On the best constants associated with \(n\)-distances. Zbl 1474.51011 Kiss, G.; Marichal, J.-L. 1 2020 A generalization of Bohr-Mollerup’s theorem for higher order convex function. Zbl 1500.26001 Marichal, Jean-Luc; Zenaïdi, Naïm 1 2022 A generalization of Bohr-Mollerup’s theorem for higher order convex function. Zbl 1500.26001 Marichal, Jean-Luc; Zenaïdi, Naïm 1 2022 On the best constants associated with \(n\)-distances. Zbl 1474.51011 Kiss, G.; Marichal, J.-L. 1 2020 Characterizations of quasitrivial symmetric nondecreasing associative operations. Zbl 1454.20125 Devillet, Jimmy; Kiss, Gergely; Marichal, Jean-Luc 10 2019 Quasitrivial semigroups: characterizations and enumerations. Zbl 1468.20099 Couceiro, Miguel; Devillet, Jimmy; Marichal, Jean-Luc 7 2019 Characterizations of idempotent discrete uninorms. Zbl 1380.03043 Couceiro, Miguel; Devillet, Jimmy; Marichal, Jean-Luc 16 2018 A generalization of the concept of distance based on the simplex inequality. Zbl 1393.39019 Kiss, Gergely; Marichal, Jean-Luc; Teheux, Bruno 3 2018 Joint signature of two or more systems with applications to multistate systems made up of two-state components. Zbl 1380.90100 Marichal, Jean-Luc; Mathonet, Pierre; Navarro, Jorge; Paroissin, Christian 13 2017 On the generalized associativity equation. Zbl 1372.39026 Marichal, Jean-Luc; Teheux, Bruno 3 2017 Conservative median algebras and semilattices. Zbl 1345.06004 Couceiro, Miguel; Marichal, Jean-Luc; Teheux, Bruno 5 2016 A characterization of barycentrically preassociative functions. Zbl 1383.39024 Marichal, Jean-Luc; Teheux, Bruno 1 2016 On modular decompositions of system signatures. Zbl 1346.60132 Marichal, Jean-Luc; Mathonet, Pierre; Spizzichino, Fabio 8 2015 Barycentrically associative and preassociative functions. Zbl 1363.39031 Marichal, J.-L.; Teheux, B. 8 2015 Algorithms and formulae for conversion between system signatures and reliability functions. Zbl 1327.62498 Marichal, Jean-Luc 5 2015 A classification of barycentrically associative polynomial functions. Zbl 1333.39023 Marichal, Jean-Luc; Mathonet, Pierre; Tomaschek, Jörg 3 2015 Preassociative aggregation functions. Zbl 1360.68843 Marichal, Jean-Luc; Teheux, Bruno 3 2015 Associative string functions. Zbl 1322.20053 Lehtonen, Erkko; Marichal, Jean-Luc; Teheux, Bruno 8 2014 Associative and preassociative functions. Zbl 1312.08003 Marichal, Jean-Luc; Teheux, Bruno 6 2014 Subsignatures of systems. Zbl 1359.62433 Marichal, Jean-Luc 2 2014 Pivotal decompositions of functions. Zbl 1310.06009 Marichal, Jean-Luc; Teheux, Bruno 1 2014 Computing subsignatures of systems with exchangeable component lifetimes. Zbl 1302.62220 Marichal, Jean-Luc 1 2014 On the extensions of Barlow-Proschan importance index and system signature to dependent lifetimes. Zbl 1294.62236 Marichal, Jean-Luc; Mathonet, Pierre 8 2013 Computing system signatures through reliability functions. Zbl 1264.90078 Marichal, Jean-Luc; Mathonet, Pierre 6 2013 Discrete integrals based on comonotonic modularity. Zbl 1296.28021 Couceiro, Miguel; Marichal, Jean-Luc 2 2013 Aczélian \(n\)-ary semigroups. Zbl 1259.22003 Couceiro, Miguel; Marichal, Jean-Luc 8 2012 Reliability of systems with dependent components based on lattice polynomial description. Zbl 1236.90041 Dukhovny, Alexander; Marichal, Jean-Luc 6 2012 Polynomial functions over bounded distributive lattices. Zbl 1236.06004 Couceiro, Miguel; Marichal, Jean-Luc 6 2012 Locally monotone Boolean and pseudo-Boolean functions. Zbl 1263.06005 Couceiro, Miguel; Marichal, Jean-Luc; Waldhauser, Tamás 1 2012 Aggregation functions: means. Zbl 1206.68298 Grabisch, Michel; Marichal, Jean-Luc; Mesiar, Radko; Pap, Endre 79 2011 Aggregation functions: construction methods, conjunctive, disjunctive and mixed classes. Zbl 1206.68299 Grabisch, Michel; Marichal, Jean-Luc; Mesiar, Radko; Pap, Endre 62 2011 On signature-based expressions of system reliability. Zbl 1219.62154 Marichal, Jean-Luc; Mathonet, Pierre; Waldhauser, Tamás 23 2011 Extensions of system signatures to dependent lifetimes: explicit expressions and interpretations. Zbl 1215.62108 Marichal, Jean-Luc; Mathonet, Pierre 20 2011 Associative polynomial functions over bounded distributive lattices. Zbl 1292.06002 Couceiro, Miguel; Marichal, Jean-Luc 16 2011 A description of \(n\)-ary semigroups polynomial-derived from integral domains. Zbl 1245.20072 Marichal, Jean-Luc; Mathonet, Pierre 12 2011 Weighted Banzhaf power and interaction indexes through weighted approximations of games. Zbl 1250.91014 Marichal, Jean-Luc; Mathonet, Pierre 7 2011 Axiomatizations of quasi-Lovász extensions of pseudo-Boolean functions. Zbl 1243.39016 Couceiro, Miguel; Marichal, Jean-Luc 3 2011 Axiomatizations of Lovász extensions of pseudo-Boolean functions. Zbl 1242.39029 Couceiro, Miguel; Marichal, Jean-Luc 3 2011 Axiomatizations of signed discrete Choquet integrals. Zbl 1382.28015 Cardin, Marta; Couceiro, Miguel; Giove, Silvio; Marichal, Jean-Luc 2 2011 Characterizations of discrete Sugeno integrals as polynomial functions over distributive lattices. Zbl 1183.28031 Couceiro, Miguel; Marichal, Jean-Luc 33 2010 Quasi-polynomial functions over bounded distributive lattices. Zbl 1221.28022 Couceiro, Miguel; Marichal, Jean-Luc 9 2010 Representations and characterizations of polynomial functions on chains. Zbl 1236.28010 Couceiro, Miguel; Marichal, Jean-Luc 9 2010 Solving Chisini’s functional equation. Zbl 1214.26017 Marichal, Jean-Luc 5 2010 Aggregation functions. Zbl 1196.00002 Grabisch, Michel; Marichal, Jean-Luc; Mesiar, Radko; Pap, Endre 256 2009 Weighted lattice polynomials. Zbl 1166.06006 Marichal, Jean-Luc 26 2009 Axiomatizations of quasi-polynomial functions on bounded chains. Zbl 1257.28008 Couceiro, Miguel; Marichal, Jean-Luc 8 2009 Meaningful aggregation functions mapping ordinal scales into an ordinal scale: a state of the art. Zbl 1204.39022 Marichal, Jean-Luc; Mesiar, Radko 8 2009 On the moments and distribution of discrete Choquet integrals from continuous distributions. Zbl 1166.60009 Kojadinovic, Ivan; Marichal, Jean-Luc 1 2009 Slices, slabs, and sections of the unit hypercube. Zbl 1189.52011 Marichal, Jean-Luc; Mossinghoff, Michael J. 10 2008 System reliability and weighted lattice polynomials. Zbl 1211.90057 Dukhovny, Alexander; Marichal, Jean-Luc 4 2008 Weighted lattice polynomials of independent random variables. Zbl 1132.62009 Marichal, Jean-Luc 2 2008 Distribution functions of linear combinations of lattice polynomials from the uniform distribution. Zbl 1141.62008 Marichal, Jean-Luc; Kojadinovic, Ivan 2 2008 Counting non-isomorphic maximal independent sets of the \(n\)-cycle graph. Zbl 1165.05336 Bisdorff, Raymond; Marichal, Jean-Luc 2 2008 Multivariate integration of functions depending explicitly on the minimum and the maximum of the variables. Zbl 1134.28012 Marichal, Jean-Luc 1 2008 Disaggregation of bipolar-valued outranking relations. Zbl 1160.90530 Meyer, Patrick; Marichal, Jean-Luc; Bisdorff, Raymond 1 2008 Approximations of Lovász extensions and their induced interaction index. Zbl 1152.90580 Marichal, Jean-Luc; Mathonet, Pierre 1 2008 \(k\)-intolerant capacities and Choquet integrals. Zbl 1110.90053 Marichal, Jean-Luc 27 2007 Axiomatic characterizations of generalized values. Zbl 1151.91344 Marichal, Jean-Luc; Kojadinovic, Ivan; Fujimoto, Katsushige 6 2007 Entropy of bi-capacities. Zbl 1102.90348 Kojadinovic, Ivan; Marichal, Jean-Luc 2 2007 Derivative relationships between volume and surface area of compact regions in \({\mathbb R}^d\). Zbl 1148.52009 Marichal, Jean-Luc; Dorff, Michael 1 2007 Axiomatic characterizations of probabilistic and cardinal-probabilistic interaction indices. Zbl 1138.91324 Fujimoto, Katsushige; Kojadinovic, Ivan; Marichal, Jean-Luc 30 2006 Cumulative distribution functions and moments of lattice polynomials. Zbl 1101.62008 Marichal, Jean-Luc 8 2006 Sorting multi-attribute alternatives: the TOMASO method. Zbl 1071.90550 Marichal, Jean-Luc; Meyer, Patrick; Roubens, Marc 24 2005 An axiomatic approach to the definition of the entropy of a discrete Choquet capacity. Zbl 1074.94006 Kojadinovic, Ivan; Marichal, Jean-Luc; Roubens, Marc 19 2005 A complete description of comparison meaningful functions. Zbl 1072.39021 Marichal, Jean-Luc; Mesiar, Radko; Rückschlossová, Tatiana 6 2005 Tolerant or intolerant character of interacting criteria in aggregation by the Choquet integral. Zbl 1044.90074 Marichal, Jean-Luc 44 2004 Aggregation on finite ordinal scales by scale independent functions. Zbl 1093.91060 Marichal, Jean-Luc; Mesiar, Radko 4 2004 Entropy of discrete Choquet capacities. Zbl 1035.94006 Marichal, Jean-Luc 28 2002 Aggregation of interacting criteria by means of the discrete Choquet integral. Zbl 1041.28015 Marichal, Jean-Luc 22 2002 On order invariant synthesizing functions. Zbl 1038.91072 Marichal, Jean-Luc 12 2002 The use of the discrete Sugeno integral in decision-making: a survery. Zbl 1113.90335 Dubois, D.; Marichal, J. L.; Prade, H.; Roubens, M.; Sabbadin, R. 41 2001 On comparison meaningfulness of aggregation functions. Zbl 1015.91058 Marichal, Jean-Luc; Mathonet, Pierre 10 2001 Equivalent representations of set functions. Zbl 0982.91009 Grabisch, Michel; Marichal, Jean-Luc; Roubens, Marc 72 2000 Determination of weights of interacting criteria from a reference set. Zbl 0969.90081 Marichal, Jean-Luc; Roubens, Marc 60 2000 On Sugeno integral as an aggregation function. Zbl 0971.28010 Marichal, Jean-Luc 51 2000 On the associativity functional equation. Zbl 0962.39012 Marichal, Jean-Luc 32 2000 Behavioral analysis of aggregation in multicriteria decision aid. Zbl 1002.91013 Marichal, Jean-Luc 19 2000 The influence of variables on pseudo-Boolean functions with applications to game theory and multicriteria decision making. Zbl 1005.91012 Marichal, Jean-Luc 16 2000 Entropy of discrete fuzzy measures. Zbl 0980.94004 Marichal, Jean-Luc; Roubens, Marc 15 2000 On Choquet and Sugeno integrals as aggregation functions. Zbl 0968.28012 Marichal, Jean-Luc 11 2000 On an axiomatization of the quasi-arithmetic mean values without the symmetry axiom. Zbl 0945.39014 Marichal, Jean-Luc 9 2000 Characterization of some aggregation functions stable for positive linear transformations. Zbl 0952.91020 Marichal, Jean-Luc; Mathonet, Pierre; Tousset, Eric 13 1999 The chaining interaction index among players in cooperative games. Zbl 0960.91015 Marichal, Jean-Luc; Roubens, Marc 8 1999 On nonstrict means. Zbl 0907.39021 Fodor, János C.; Marichal, Jean-Luc 13 1997 Characterization of some aggregation functions arising from MCDM problems. Zbl 1028.90526 Fodor, János C.; Marichal, Jean-Luc; Roubens, Marc 3 1995 all cited Publications top 5 cited Publications all top 5 Cited by 974 Authors 78 Mesiar, Radko 66 Marichal, Jean-Luc 34 Grabisch, Michel 33 Couceiro, Miguel 24 Bustince Sola, Humberto 22 Kolesárová, Anna 21 Beliakov, Gleb 21 Greco, Salvatore 16 Dubois, Didier 16 Mathonet, Pierre 15 De Baets, Bernard 15 Pap, Endre 15 Teheux, Bruno 14 Kojadinovic, Ivan 14 Labreuche, Christophe 14 Qin, Feng 13 Rico, Agnés 13 Wu, Jianzhang 12 Fernández-Sánchez, Juan 12 Prade, Henri M. 11 Candeal, Juan Carlos 11 Montero, Javier 11 Spizzichino, Fabio L. 10 Devillet, Jimmy 10 Halaš, Radomír 10 Jočić, Dragan 10 Štajner-Papuga, Ivana 10 Yager, Ronald R. 9 Fernández Fernández, Francisco Javier 9 Gómez, Daniel Armando 9 Induráin, Esteban 9 Jin, LeSheng 9 Lehtonen, Erkko 9 Pocs, Jozef 9 Torrens, Joan 9 Úbeda-Flores, Manuel 8 Bedregal, Benjamín René Callejas 8 Çaylı, Gül Deniz 8 Figueira, José Rui 8 Gągolewski, Marek 8 Liu, Huawen 8 Merigó, José M. 8 Mesiarová-Zemánková, Andrea 8 Navarro, Jorge 8 Su, Yong 8 Waldhauser, Tamás 7 Balakrishnan, Narayanaswamy 7 Calvo, Tomasa 7 Dimuro, Graçaliz Pereira 7 James, Simon 7 Kiss, Gergely 7 Mousseau, Vincent A. 7 Słowiński, Roman 6 Campión, María Jesús 6 Corrente, Salvatore 6 De Meyer, Hans E. 6 Durante, Fabrizio 6 Hu, Baoqing 6 Klement, Erich Peter 6 Marques Pereira, Ricardo Alberto 6 Nedović, Ljubo M. 6 Ouyang, Yao 6 Rindone, Fabio 6 Rodríguez, J. Tinguaro 6 Stupňanová, Andrea 6 Torra, Vicenç 5 Agahi, Hamzeh 5 Aşici, Emel 5 Borkotokey, Surajit 5 Bouyssou, Denis 5 Burkschat, Marco 5 Chambers, Christopher P. 5 Díaz, Irene 5 Fargier, Hélène 5 Karaçal, Funda 5 Lange, Fabien 5 Massanet, Sebastià 5 Meyer, Patrick 5 Montes, Susana 5 Pradera, Ana 5 Qiao, Junsheng 5 Rychlik, Tomasz 5 Wang, Yaming 5 Yi, He 5 Zong, Wenwen 4 Angilella, Silvia 4 Belahcene, Khaled 4 Boczek, Michal 4 Bortot, Silvia 4 Catalán, Raquel G. 4 Combarro, Elías F. 4 Drygaś, Paweł 4 Dukhovny, Alexander M. 4 Ertuğrul, Ümit 4 García-Lapresta, José Luis 4 Kalina, Martin 4 Kałuszka, Marek 4 Lafuente, Julio P. 4 Llamazares, Bonifacio 4 Matarazzo, Benedetto ...and 874 more Authors all top 5 Cited in 132 Serials 168 Fuzzy Sets and Systems 93 Information Sciences 61 European Journal of Operational Research 36 International Journal of Approximate Reasoning 28 Soft Computing 22 Iranian Journal of Fuzzy Systems 20 Aequationes Mathematicae 17 Discrete Applied Mathematics 14 Kybernetika 14 Annals of Operations Research 13 International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems 12 Semigroup Forum 12 Methodology and Computing in Applied Probability 9 Order 8 Journal of Mathematical Analysis and Applications 8 Statistics & Probability Letters 8 Journal of Intelligent and Fuzzy Systems 7 Journal of Applied Probability 7 Fuzzy Optimization and Decision Making 6 Algebra Universalis 6 Mathematical Social Sciences 6 Social Choice and Welfare 6 4OR 5 Advances in Applied Probability 5 Journal of Multivariate Analysis 5 Computers & Operations Research 5 Communications in Statistics. Theory and Methods 5 Probability in the Engineering and Informational Sciences 5 Axioms 4 Artificial Intelligence 4 Journal of Mathematical Economics 4 Journal of Mathematical Psychology 4 Dependence Modeling 3 Discrete Mathematics 3 International Journal of General Systems 3 Beiträge zur Algebra und Geometrie 3 Applied Mathematics and Computation 3 Theory and Decision 3 Acta Mathematica Hungarica 3 Test 3 Computational and Applied Mathematics 3 Filomat 3 Top 3 International Transactions in Operational Research 3 Journal of Applied Mathematics 3 International Journal of Information Technology & Decision Making 3 Statistics and Computing 2 Journal of Computational and Applied Mathematics 2 Journal of Economic Theory 2 Results in Mathematics 2 Insurance Mathematics & Economics 2 Operations Research Letters 2 Asia-Pacific Journal of Operational Research 2 Automation and Remote Control 2 Journal of Multi-Criteria Decision Analysis 2 Annals of Mathematics and Artificial Intelligence 2 Complexity 2 Mathematical Problems in Engineering 2 Abstract and Applied Analysis 2 RAIRO. Operations Research 2 Decisions in Economics and Finance 2 Optimization Letters 2 Asian-European Journal of Mathematics 1 Indian Journal of Pure & Applied Mathematics 1 Information Processing Letters 1 Journal of Mathematical Biology 1 Mathematical Notes 1 Metrika 1 Rocky Mountain Journal of Mathematics 1 Scandinavian Journal of Statistics 1 Mathematics Magazine 1 International Journal of Game Theory 1 Journal of Approximation Theory 1 Mathematica Slovaca 1 Mathematische Zeitschrift 1 Opsearch 1 Theoretical Computer Science 1 Stochastic Analysis and Applications 1 Statistics 1 Optimization 1 Information and Computation 1 Applied Mathematics Letters 1 Machine Learning 1 The Annals of Applied Probability 1 International Journal of Algebra and Computation 1 International Journal of Foundations of Computer Science 1 Games and Economic Behavior 1 Computational Statistics 1 YUJOR. Yugoslav Journal of Operations Research 1 Communications in Statistics. Simulation and Computation 1 Pattern Recognition 1 Computational Statistics and Data Analysis 1 Mathematical Programming. Series A. Series B 1 Journal of Mathematical Imaging and Vision 1 Computational Economics 1 The Journal of Analysis 1 Topological Methods in Nonlinear Analysis 1 Economic Theory 1 INFORMS Journal on Computing 1 ELA. The Electronic Journal of Linear Algebra ...and 32 more Serials all top 5 Cited in 43 Fields 258 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 170 Computer science (68-XX) 164 Operations research, mathematical programming (90-XX) 159 Mathematical logic and foundations (03-XX) 153 Measure and integration (28-XX) 103 Statistics (62-XX) 70 Order, lattices, ordered algebraic structures (06-XX) 60 Probability theory and stochastic processes (60-XX) 54 Real functions (26-XX) 41 Difference and functional equations (39-XX) 32 Information and communication theory, circuits (94-XX) 19 General algebraic systems (08-XX) 18 Group theory and generalizations (20-XX) 9 Combinatorics (05-XX) 8 Functional analysis (46-XX) 7 General topology (54-XX) 7 Numerical analysis (65-XX) 6 Biology and other natural sciences (92-XX) 5 Commutative algebra (13-XX) 5 Convex and discrete geometry (52-XX) 5 Systems theory; control (93-XX) 4 Number theory (11-XX) 4 Operator theory (47-XX) 3 Linear and multilinear algebra; matrix theory (15-XX) 3 Nonassociative rings and algebras (17-XX) 3 Geometry (51-XX) 2 Associative rings and algebras (16-XX) 2 Topological groups, Lie groups (22-XX) 2 Sequences, series, summability (40-XX) 2 Integral transforms, operational calculus (44-XX) 2 Differential geometry (53-XX) 2 Quantum theory (81-XX) 1 General and overarching topics; collections (00-XX) 1 Field theory and polynomials (12-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Special functions (33-XX) 1 Partial differential equations (35-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Approximations and expansions (41-XX) 1 Integral equations (45-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Relativity and gravitational theory (83-XX) 1 Geophysics (86-XX) Citations by Year