## Marichal, Jean-Luc

Compute Distance To:
 Author ID: marichal.jean-luc Published as: Marichal, Jean-Luc; Marichal, J.-L.; Marical, Jean Luc; Marichal, J. L. more...less External Links: MGP
 Documents Indexed: 99 Publications since 1995, including 2 Books 1 Contribution as Editor Co-Authors: 33 Co-Authors with 80 Joint Publications 842 Co-Co-Authors
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### Co-Authors

 20 single-authored 21 Couceiro, Miguel 18 Mathonet, Pierre 13 Teheux, Bruno 8 Roubens, Marc 6 Kojadinovic, Ivan 6 Mesiar, Radko 5 Devillet, Jimmy 5 Grabisch, Michel 3 Bisdorff, Raymond 3 Kiss, Gergely 3 Pap, Endre 2 Dukhovny, Alexander M. 2 Fodor, János C. 2 Fujimoto, Katsushige 2 Meyer, Patrick 2 Waldhauser, Tamás 1 Cardin, Marta 1 Dorff, Michael John 1 Dubois, Didier 1 Giove, Silvio 1 Labreuche, Christophe 1 Lehtonen, Erkko 1 Lundberg, G. H. 1 Miranda, Pedro 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 1 Zenaïdi, Naïm
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### 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 Information Sciences 3 Order 3 International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems 2 Beiträge zur Algebra und Geometrie 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
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### Fields

 29 Difference and functional equations (39-XX) 27 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 26 Operations research, mathematical programming (90-XX) 20 Measure and integration (28-XX) 15 Order, lattices, ordered algebraic structures (06-XX) 15 Statistics (62-XX) 12 Real functions (26-XX) 12 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 Mathematical logic and foundations (03-XX) 5 General algebraic systems (08-XX) 4 Commutative algebra (13-XX) 3 Combinatorics (05-XX) 2 General and overarching topics; collections (00-XX) 2 Geometry (51-XX) 2 Convex and discrete geometry (52-XX) 1 Number theory (11-XX) 1 Associative rings and algebras (16-XX) 1 Nonassociative rings and algebras (17-XX) 1 Topological groups, Lie groups (22-XX) 1 Special functions (33-XX) 1 Functional analysis (46-XX) 1 Algebraic topology (55-XX) 1 Numerical analysis (65-XX)

### Citations contained in zbMATH Open

80 Publications have been cited 1,091 times in 654 Documents Cited by Year
Aggregation functions. Zbl 1196.00002
Grabisch, Michel; Marichal, Jean-Luc; Mesiar, Radko; Pap, Endre
2009
Aggregation functions: means. Zbl 1206.68298
Grabisch, Michel; Marichal, Jean-Luc; Mesiar, Radko; Pap, Endre
2011
Equivalent representations of set functions. Zbl 0982.91009
Grabisch, Michel; Marichal, Jean-Luc; Roubens, Marc
2000
Determination of weights of interacting criteria from a reference set. Zbl 0969.90081
Marichal, Jean-Luc; Roubens, Marc
2000
Aggregation functions: construction methods, conjunctive, disjunctive and mixed classes. Zbl 1206.68299
Grabisch, Michel; Marichal, Jean-Luc; Mesiar, Radko; Pap, Endre
2011
On Sugeno integral as an aggregation function. Zbl 0971.28010
Marichal, Jean-Luc
2000
Tolerant or intolerant character of interacting criteria in aggregation by the Choquet integral. Zbl 1044.90074
Marichal, Jean-Luc
2004
The use of the discrete Sugeno integral in decision-making: a survery. Zbl 1113.90335
2001
Characterizations of discrete Sugeno integrals as polynomial functions over distributive lattices. Zbl 1183.28031
Couceiro, Miguel; Marichal, Jean-Luc
2010
On the associativity functional equation. Zbl 0962.39012
Marichal, Jean-Luc
2000
Weighted lattice polynomials. Zbl 1166.06006
Marichal, Jean-Luc
2009
Entropy of discrete Choquet capacities. Zbl 1035.94006
Marichal, Jean-Luc
2002
Axiomatic characterizations of probabilistic and cardinal-probabilistic interaction indices. Zbl 1138.91324
Fujimoto, Katsushige; Kojadinovic, Ivan; Marichal, Jean-Luc
2006
Sorting multi-attribute alternatives: the TOMASO method. Zbl 1071.90550
Marichal, Jean-Luc; Meyer, Patrick; Roubens, Marc
2005
$$k$$-intolerant capacities and Choquet integrals. Zbl 1110.90053
Marichal, Jean-Luc
2007
Aggregation of interacting criteria by means of the discrete Choquet integral. Zbl 1041.28015
Marichal, Jean-Luc
2002
On signature-based expressions of system reliability. Zbl 1219.62154
Marichal, Jean-Luc; Mathonet, Pierre; Waldhauser, Tamás
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
2005
Behavioral analysis of aggregation in multicriteria decision aid. Zbl 1002.91013
Marichal, Jean-Luc
2000
Extensions of system signatures to dependent lifetimes: explicit expressions and interpretations. Zbl 1215.62108
Marichal, Jean-Luc; Mathonet, Pierre
2011
The influence of variables on pseudo-Boolean functions with applications to game theory and multicriteria decision making. Zbl 1005.91012
Marichal, Jean-Luc
2000
Associative polynomial functions over bounded distributive lattices. Zbl 1292.06002
Couceiro, Miguel; Marichal, Jean-Luc
2011
Entropy of discrete fuzzy measures. Zbl 0980.94004
Marichal, Jean-Luc; Roubens, Marc
2000
On nonstrict means. Zbl 0907.39021
Fodor, János C.; Marichal, Jean-Luc
1997
A description of $$n$$-ary semigroups polynomial-derived from integral domains. Zbl 1245.20072
Marichal, Jean-Luc; Mathonet, Pierre
2011
Characterization of some aggregation functions stable for positive linear transformations. Zbl 0952.91020
Marichal, Jean-Luc; Mathonet, Pierre; Tousset, Eric
1999
On order invariant synthesizing functions. Zbl 1038.91072
Marichal, Jean-Luc
2002
On Choquet and Sugeno integrals as aggregation functions. Zbl 0968.28012
Marichal, Jean-Luc
2000
On comparison meaningfulness of aggregation functions. Zbl 1015.91058
Marichal, Jean-Luc; Mathonet, Pierre
2001
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
2017
Characterizations of idempotent discrete uninorms. Zbl 1380.03043
Couceiro, Miguel; Devillet, Jimmy; Marichal, Jean-Luc
2018
Slices, slabs, and sections of the unit hypercube. Zbl 1189.52011
Marichal, Jean-Luc; Mossinghoff, Michael J.
2008
Quasi-polynomial functions over bounded distributive lattices. Zbl 1221.28022
Couceiro, Miguel; Marichal, Jean-Luc
2010
Representations and characterizations of polynomial functions on chains. Zbl 1236.28010
Couceiro, Miguel; Marichal, Jean-Luc
2010
On an axiomatization of the quasi-arithmetic mean values without the symmetry axiom. Zbl 0945.39014
Marichal, Jean-Luc
2000
Characterizations of quasitrivial symmetric nondecreasing associative operations. Zbl 1454.20125
Devillet, Jimmy; Kiss, Gergely; Marichal, Jean-Luc
2019
On the extensions of Barlow-Proschan importance index and system signature to dependent lifetimes. Zbl 1294.62236
Marichal, Jean-Luc; Mathonet, Pierre
2013
Axiomatizations of quasi-polynomial functions on bounded chains. Zbl 1257.28008
Couceiro, Miguel; Marichal, Jean-Luc
2009
Aczélian $$n$$-ary semigroups. Zbl 1259.22003
Couceiro, Miguel; Marichal, Jean-Luc
2012
Cumulative distribution functions and moments of lattice polynomials. Zbl 1101.62008
Marichal, Jean-Luc
2006
Associative string functions. Zbl 1322.20053
Lehtonen, Erkko; Marichal, Jean-Luc; Teheux, Bruno
2014
The chaining interaction index among players in cooperative games. Zbl 0960.91015
Marichal, Jean-Luc; Roubens, Marc
1999
Quasitrivial semigroups: characterizations and enumerations. Zbl 1468.20099
Couceiro, Miguel; Devillet, Jimmy; Marichal, Jean-Luc
2019
Meaningful aggregation functions mapping ordinal scales into an ordinal scale: a state of the art. Zbl 1204.39022
2009
Weighted Banzhaf power and interaction indexes through weighted approximations of games. Zbl 1250.91014
Marichal, Jean-Luc; Mathonet, Pierre
2011
Polynomial functions over bounded distributive lattices. Zbl 1236.06004
Couceiro, Miguel; Marichal, Jean-Luc
2012
A complete description of comparison meaningful functions. Zbl 1072.39021
Marichal, Jean-Luc; Mesiar, Radko; Rückschlossová, Tatiana
2005
On modular decompositions of system signatures. Zbl 1346.60132
Marichal, Jean-Luc; Mathonet, Pierre; Spizzichino, Fabio
2015
Barycentrically associative and preassociative functions. Zbl 1363.39031
Marichal, J.-L.; Teheux, B.
2015
Computing system signatures through reliability functions. Zbl 1264.90078
Marichal, Jean-Luc; Mathonet, Pierre
2013
Solving Chisini’s functional equation. Zbl 1214.26017
Marichal, Jean-Luc
2010
Reliability of systems with dependent components based on lattice polynomial description. Zbl 1236.90041
Dukhovny, Alexander; Marichal, Jean-Luc
2012
Axiomatic characterizations of generalized values. Zbl 1151.91344
Marichal, Jean-Luc; Kojadinovic, Ivan; Fujimoto, Katsushige
2007
Associative and preassociative functions. Zbl 1312.08003
Marichal, Jean-Luc; Teheux, Bruno
2014
Algorithms and formulae for conversion between system signatures and reliability functions. Zbl 1327.62498
Marichal, Jean-Luc
2015
System reliability and weighted lattice polynomials. Zbl 1211.90057
Dukhovny, Alexander; Marichal, Jean-Luc
2008
Aggregation on finite ordinal scales by scale independent functions. Zbl 1093.91060
2004
A classification of barycentrically associative polynomial functions. Zbl 1333.39023
Marichal, Jean-Luc; Mathonet, Pierre; Tomaschek, Jörg
2015
On the generalized associativity equation. Zbl 1372.39026
Marichal, Jean-Luc; Teheux, Bruno
2017
Preassociative aggregation functions. Zbl 1360.68843
Marichal, Jean-Luc; Teheux, Bruno
2015
Characterization of some aggregation functions arising from MCDM problems. Zbl 1028.90526
Fodor, János C.; Marichal, Jean-Luc; Roubens, Marc
1995
Conservative median algebras and semilattices. Zbl 1345.06004
Couceiro, Miguel; Marichal, Jean-Luc; Teheux, Bruno
2016
Subsignatures of systems. Zbl 1359.62433
Marichal, Jean-Luc
2014
Weighted lattice polynomials of independent random variables. Zbl 1132.62009
Marichal, Jean-Luc
2008
Axiomatizations of quasi-Lovász extensions of pseudo-Boolean functions. Zbl 1243.39016
Couceiro, Miguel; Marichal, Jean-Luc
2011
Axiomatizations of Lovász extensions of pseudo-Boolean functions. Zbl 1242.39029
Couceiro, Miguel; Marichal, Jean-Luc
2011
Distribution functions of linear combinations of lattice polynomials from the uniform distribution. Zbl 1141.62008
2008
Entropy of bi-capacities. Zbl 1102.90348
2007
Axiomatizations of signed discrete Choquet integrals. Zbl 1382.28015
Cardin, Marta; Couceiro, Miguel; Giove, Silvio; Marichal, Jean-Luc
2011
On the moments and distribution of discrete Choquet integrals from continuous distributions. Zbl 1166.60009
2009
Counting non-isomorphic maximal independent sets of the $$n$$-cycle graph. Zbl 1165.05336
Bisdorff, Raymond; Marichal, Jean-Luc
2008
Approximations of Lovász extensions and their induced interaction index. Zbl 1152.90580
Marichal, Jean-Luc; Mathonet, Pierre
2008
Multivariate integration of functions depending explicitly on the minimum and the maximum of the variables. Zbl 1134.28012
Marichal, Jean-Luc
2008
Disaggregation of bipolar-valued outranking relations. Zbl 1160.90530
Meyer, Patrick; Marichal, Jean-Luc; Bisdorff, Raymond
2008
Pivotal decompositions of functions. Zbl 1310.06009
Marichal, Jean-Luc; Teheux, Bruno
2014
Discrete integrals based on comonotonic modularity. Zbl 1296.28021
Couceiro, Miguel; Marichal, Jean-Luc
2013
Computing subsignatures of systems with exchangeable component lifetimes. Zbl 1302.62220
Marichal, Jean-Luc
2014
A characterization of barycentrically preassociative functions. Zbl 1383.39024
Marichal, Jean-Luc; Teheux, Bruno
2016
Locally monotone Boolean and pseudo-Boolean functions. Zbl 1263.06005
Couceiro, Miguel; Marichal, Jean-Luc; Waldhauser, Tamás
2012
A generalization of the concept of distance based on the simplex inequality. Zbl 1393.39019
Kiss, Gergely; Marichal, Jean-Luc; Teheux, Bruno
2018
Characterizations of quasitrivial symmetric nondecreasing associative operations. Zbl 1454.20125
Devillet, Jimmy; Kiss, Gergely; Marichal, Jean-Luc
2019
Quasitrivial semigroups: characterizations and enumerations. Zbl 1468.20099
Couceiro, Miguel; Devillet, Jimmy; Marichal, Jean-Luc
2019
Characterizations of idempotent discrete uninorms. Zbl 1380.03043
Couceiro, Miguel; Devillet, Jimmy; Marichal, Jean-Luc
2018
A generalization of the concept of distance based on the simplex inequality. Zbl 1393.39019
Kiss, Gergely; Marichal, Jean-Luc; Teheux, Bruno
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
2017
On the generalized associativity equation. Zbl 1372.39026
Marichal, Jean-Luc; Teheux, Bruno
2017
Conservative median algebras and semilattices. Zbl 1345.06004
Couceiro, Miguel; Marichal, Jean-Luc; Teheux, Bruno
2016
A characterization of barycentrically preassociative functions. Zbl 1383.39024
Marichal, Jean-Luc; Teheux, Bruno
2016
On modular decompositions of system signatures. Zbl 1346.60132
Marichal, Jean-Luc; Mathonet, Pierre; Spizzichino, Fabio
2015
Barycentrically associative and preassociative functions. Zbl 1363.39031
Marichal, J.-L.; Teheux, B.
2015
Algorithms and formulae for conversion between system signatures and reliability functions. Zbl 1327.62498
Marichal, Jean-Luc
2015
A classification of barycentrically associative polynomial functions. Zbl 1333.39023
Marichal, Jean-Luc; Mathonet, Pierre; Tomaschek, Jörg
2015
Preassociative aggregation functions. Zbl 1360.68843
Marichal, Jean-Luc; Teheux, Bruno
2015
Associative string functions. Zbl 1322.20053
Lehtonen, Erkko; Marichal, Jean-Luc; Teheux, Bruno
2014
Associative and preassociative functions. Zbl 1312.08003
Marichal, Jean-Luc; Teheux, Bruno
2014
Subsignatures of systems. Zbl 1359.62433
Marichal, Jean-Luc
2014
Pivotal decompositions of functions. Zbl 1310.06009
Marichal, Jean-Luc; Teheux, Bruno
2014
Computing subsignatures of systems with exchangeable component lifetimes. Zbl 1302.62220
Marichal, Jean-Luc
2014
On the extensions of Barlow-Proschan importance index and system signature to dependent lifetimes. Zbl 1294.62236
Marichal, Jean-Luc; Mathonet, Pierre
2013
Computing system signatures through reliability functions. Zbl 1264.90078
Marichal, Jean-Luc; Mathonet, Pierre
2013
Discrete integrals based on comonotonic modularity. Zbl 1296.28021
Couceiro, Miguel; Marichal, Jean-Luc
2013
Aczélian $$n$$-ary semigroups. Zbl 1259.22003
Couceiro, Miguel; Marichal, Jean-Luc
2012
Polynomial functions over bounded distributive lattices. Zbl 1236.06004
Couceiro, Miguel; Marichal, Jean-Luc
2012
Reliability of systems with dependent components based on lattice polynomial description. Zbl 1236.90041
Dukhovny, Alexander; Marichal, Jean-Luc
2012
Locally monotone Boolean and pseudo-Boolean functions. Zbl 1263.06005
Couceiro, Miguel; Marichal, Jean-Luc; Waldhauser, Tamás
2012
Aggregation functions: means. Zbl 1206.68298
Grabisch, Michel; Marichal, Jean-Luc; Mesiar, Radko; Pap, Endre
2011
Aggregation functions: construction methods, conjunctive, disjunctive and mixed classes. Zbl 1206.68299
Grabisch, Michel; Marichal, Jean-Luc; Mesiar, Radko; Pap, Endre
2011
On signature-based expressions of system reliability. Zbl 1219.62154
Marichal, Jean-Luc; Mathonet, Pierre; Waldhauser, Tamás
2011
Extensions of system signatures to dependent lifetimes: explicit expressions and interpretations. Zbl 1215.62108
Marichal, Jean-Luc; Mathonet, Pierre
2011
Associative polynomial functions over bounded distributive lattices. Zbl 1292.06002
Couceiro, Miguel; Marichal, Jean-Luc
2011
A description of $$n$$-ary semigroups polynomial-derived from integral domains. Zbl 1245.20072
Marichal, Jean-Luc; Mathonet, Pierre
2011
Weighted Banzhaf power and interaction indexes through weighted approximations of games. Zbl 1250.91014
Marichal, Jean-Luc; Mathonet, Pierre
2011
Axiomatizations of quasi-Lovász extensions of pseudo-Boolean functions. Zbl 1243.39016
Couceiro, Miguel; Marichal, Jean-Luc
2011
Axiomatizations of Lovász extensions of pseudo-Boolean functions. Zbl 1242.39029
Couceiro, Miguel; Marichal, Jean-Luc
2011
Axiomatizations of signed discrete Choquet integrals. Zbl 1382.28015
Cardin, Marta; Couceiro, Miguel; Giove, Silvio; Marichal, Jean-Luc
2011
Characterizations of discrete Sugeno integrals as polynomial functions over distributive lattices. Zbl 1183.28031
Couceiro, Miguel; Marichal, Jean-Luc
2010
Quasi-polynomial functions over bounded distributive lattices. Zbl 1221.28022
Couceiro, Miguel; Marichal, Jean-Luc
2010
Representations and characterizations of polynomial functions on chains. Zbl 1236.28010
Couceiro, Miguel; Marichal, Jean-Luc
2010
Solving Chisini’s functional equation. Zbl 1214.26017
Marichal, Jean-Luc
2010
Aggregation functions. Zbl 1196.00002
Grabisch, Michel; Marichal, Jean-Luc; Mesiar, Radko; Pap, Endre
2009
Weighted lattice polynomials. Zbl 1166.06006
Marichal, Jean-Luc
2009
Axiomatizations of quasi-polynomial functions on bounded chains. Zbl 1257.28008
Couceiro, Miguel; Marichal, Jean-Luc
2009
Meaningful aggregation functions mapping ordinal scales into an ordinal scale: a state of the art. Zbl 1204.39022
2009
On the moments and distribution of discrete Choquet integrals from continuous distributions. Zbl 1166.60009
2009
Slices, slabs, and sections of the unit hypercube. Zbl 1189.52011
Marichal, Jean-Luc; Mossinghoff, Michael J.
2008
System reliability and weighted lattice polynomials. Zbl 1211.90057
Dukhovny, Alexander; Marichal, Jean-Luc
2008
Weighted lattice polynomials of independent random variables. Zbl 1132.62009
Marichal, Jean-Luc
2008
Distribution functions of linear combinations of lattice polynomials from the uniform distribution. Zbl 1141.62008
2008
Counting non-isomorphic maximal independent sets of the $$n$$-cycle graph. Zbl 1165.05336
Bisdorff, Raymond; Marichal, Jean-Luc
2008
Approximations of Lovász extensions and their induced interaction index. Zbl 1152.90580
Marichal, Jean-Luc; Mathonet, Pierre
2008
Multivariate integration of functions depending explicitly on the minimum and the maximum of the variables. Zbl 1134.28012
Marichal, Jean-Luc
2008
Disaggregation of bipolar-valued outranking relations. Zbl 1160.90530
Meyer, Patrick; Marichal, Jean-Luc; Bisdorff, Raymond
2008
$$k$$-intolerant capacities and Choquet integrals. Zbl 1110.90053
Marichal, Jean-Luc
2007
Axiomatic characterizations of generalized values. Zbl 1151.91344
Marichal, Jean-Luc; Kojadinovic, Ivan; Fujimoto, Katsushige
2007
Entropy of bi-capacities. Zbl 1102.90348
2007
Axiomatic characterizations of probabilistic and cardinal-probabilistic interaction indices. Zbl 1138.91324
Fujimoto, Katsushige; Kojadinovic, Ivan; Marichal, Jean-Luc
2006
Cumulative distribution functions and moments of lattice polynomials. Zbl 1101.62008
Marichal, Jean-Luc
2006
Sorting multi-attribute alternatives: the TOMASO method. Zbl 1071.90550
Marichal, Jean-Luc; Meyer, Patrick; Roubens, Marc
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
2005
A complete description of comparison meaningful functions. Zbl 1072.39021
Marichal, Jean-Luc; Mesiar, Radko; Rückschlossová, Tatiana
2005
Tolerant or intolerant character of interacting criteria in aggregation by the Choquet integral. Zbl 1044.90074
Marichal, Jean-Luc
2004
Aggregation on finite ordinal scales by scale independent functions. Zbl 1093.91060
2004
Entropy of discrete Choquet capacities. Zbl 1035.94006
Marichal, Jean-Luc
2002
Aggregation of interacting criteria by means of the discrete Choquet integral. Zbl 1041.28015
Marichal, Jean-Luc
2002
On order invariant synthesizing functions. Zbl 1038.91072
Marichal, Jean-Luc
2002
The use of the discrete Sugeno integral in decision-making: a survery. Zbl 1113.90335
2001
On comparison meaningfulness of aggregation functions. Zbl 1015.91058
Marichal, Jean-Luc; Mathonet, Pierre
2001
Equivalent representations of set functions. Zbl 0982.91009
Grabisch, Michel; Marichal, Jean-Luc; Roubens, Marc
2000
Determination of weights of interacting criteria from a reference set. Zbl 0969.90081
Marichal, Jean-Luc; Roubens, Marc
2000
On Sugeno integral as an aggregation function. Zbl 0971.28010
Marichal, Jean-Luc
2000
On the associativity functional equation. Zbl 0962.39012
Marichal, Jean-Luc
2000
Behavioral analysis of aggregation in multicriteria decision aid. Zbl 1002.91013
Marichal, Jean-Luc
2000
The influence of variables on pseudo-Boolean functions with applications to game theory and multicriteria decision making. Zbl 1005.91012
Marichal, Jean-Luc
2000
Entropy of discrete fuzzy measures. Zbl 0980.94004
Marichal, Jean-Luc; Roubens, Marc
2000
On Choquet and Sugeno integrals as aggregation functions. Zbl 0968.28012
Marichal, Jean-Luc
2000
On an axiomatization of the quasi-arithmetic mean values without the symmetry axiom. Zbl 0945.39014
Marichal, Jean-Luc
2000
Characterization of some aggregation functions stable for positive linear transformations. Zbl 0952.91020
Marichal, Jean-Luc; Mathonet, Pierre; Tousset, Eric
1999
The chaining interaction index among players in cooperative games. Zbl 0960.91015
Marichal, Jean-Luc; Roubens, Marc
1999
On nonstrict means. Zbl 0907.39021
Fodor, János C.; Marichal, Jean-Luc
1997
Characterization of some aggregation functions arising from MCDM problems. Zbl 1028.90526
Fodor, János C.; Marichal, Jean-Luc; Roubens, Marc
1995
all top 5

### Cited by 768 Authors

 65 Marichal, Jean-Luc 55 Mesiar, Radko 33 Couceiro, Miguel 32 Grabisch, Michel 19 Greco, Salvatore 16 Mathonet, Pierre 15 Dubois, Didier 14 Beliakov, Gleb 14 Kojadinovic, Ivan 14 Teheux, Bruno 13 Kolesárová, Anna 13 Labreuche, Christophe 12 Bustince, Humberto 12 Pap, Endre 11 Prade, Henri M. 11 Rico, Agnés 10 De Baets, Bernard 10 Wu, Jianzhang 9 Candeal, Juan Carlos 9 Devillet, Jimmy 9 Induráin, Esteban 9 Lehtonen, Erkko 9 Montero, Javier 9 Qin, Feng 9 Spizzichino, Fabio L. 8 Halaš, Radomír 8 Navarro, Jorge 8 Pocs, Jozef 8 Torrens, Joan 8 Waldhauser, Tamás 8 Yager, Ronald R. 6 Bedregal, Benjamín René Callejas 6 Campión, María Jesús 6 Corrente, Salvatore 6 Fernández Fernández, Francisco Javier 6 Fernández-Sánchez, Juan 6 Figueira, José Rui 6 Gomez, Daniel 6 Marques Pereira, Ricardo Alberto 6 Merigó, José M. 5 Agahi, Hamzeh 5 Balakrishnan, Narayanaswamy 5 Burkschat, Marco 5 Calvo, Tomasa 5 Çaylı, Gül Deniz 5 Fargier, Hélène 5 Kiss, Gergely 5 Lange, Fabien 5 Meyer, Patrick 5 Pradera, Ana 5 Rindone, Fabio 5 Stupňanová, Andrea 5 Su, Yong 5 Úbeda-Flores, Manuel 4 Angilella, Silvia 4 Borkotokey, Surajit 4 Bortot, Silvia 4 Catalán, Raquel G. 4 Chambers, Christopher P. 4 Combarro, Elías F. 4 De Meyer, Hans E. 4 Dimuro, Graçaliz Pereira 4 Drygaś, Paweł 4 Dukhovny, Alexander M. 4 Hu, Baoqing 4 James, Simon 4 Jočić, Dragan 4 Kalina, Martin 4 Klement, Erich Peter 4 Liu, Huawen 4 Matarazzo, Benedetto 4 Meng, Fanyong 4 Mousseau, Vincent A. 4 Rodríguez, J. Tinguaro 4 Roubens, Marc 4 Rychlik, Tomasz 4 Słowiński, Roman 4 Štajner-Papuga, Ivana 4 Štrboja, Mirjana 4 Tjelmeland, Håkon 4 Torra, Vicenç 4 Wang, Yaming 3 Abbaszadeh, Sadegh 3 Aşici, Emel 3 Belles-Sampera, Jaume 3 Borgonovo, Emanuele 3 Bouyssou, Denis 3 Brabant, Quentin 3 Bronevich, Andrey G. 3 Cardin, Marta 3 Chen, Xiaohong 3 Cui, Lirong 3 Faigle, Ulrich 3 Foldes, Stephan 3 Gągolewski, Marek 3 Gilio, Angelo 3 Guillen, Montserrat 3 Hammer, Peter Ladislaw 3 Jin, LeSheng 3 Liu, Xinwang ...and 668 more Authors
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### Cited in 114 Serials

 117 Fuzzy Sets and Systems 69 Information Sciences 59 European Journal of Operational Research 25 Soft Computing 23 International Journal of Approximate Reasoning 19 Aequationes Mathematicae 18 Iranian Journal of Fuzzy Systems 16 Discrete Applied Mathematics 12 Semigroup Forum 12 Annals of Operations Research 12 International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems 11 Methodology and Computing in Applied Probability 9 Kybernetika 8 Journal of Mathematical Analysis and Applications 8 Order 8 Journal of Intelligent and Fuzzy Systems 7 Journal of Applied Probability 7 Statistics & Probability Letters 7 Fuzzy Optimization and Decision Making 6 Algebra Universalis 6 Social Choice and Welfare 5 Journal of Multivariate Analysis 5 Mathematical Social Sciences 5 Computers & Operations Research 5 Axioms 4 Advances in Applied Probability 4 Journal of Mathematical Psychology 4 Communications in Statistics. Theory and Methods 4 4OR 4 Dependence Modeling 3 Artificial Intelligence 3 Discrete Mathematics 3 International Journal of General Systems 3 Applied Mathematics and Computation 3 Journal of Mathematical Economics 3 Acta Mathematica Hungarica 3 Top 3 Journal of Applied Mathematics 3 International Journal of Information Technology & Decision Making 3 Statistics and Computing 2 Beiträge zur Algebra und Geometrie 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 Test 2 Filomat 2 Journal of Multi-Criteria Decision Analysis 2 Annals of Mathematics and Artificial Intelligence 2 Complexity 2 International Transactions in Operational Research 2 Abstract and Applied Analysis 2 Probability in the Engineering and Informational Sciences 2 RAIRO. Operations Research 2 Decisions in Economics and Finance 2 Optimization Letters 2 Asian-European Journal of 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 International Journal of Game Theory 1 Journal of Approximation Theory 1 Journal of Computational and Applied Mathematics 1 Mathematische Zeitschrift 1 Opsearch 1 Theoretical Computer Science 1 Theory and Decision 1 Optimization 1 Information and Computation 1 Applied Mathematics Letters 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 Automation and Remote Control 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 Computational and Applied Mathematics 1 Economic Theory 1 INFORMS Journal on Computing 1 ELA. The Electronic Journal of Linear Algebra 1 Mathematical Problems in Engineering 1 Mathematical Finance 1 Optimization Methods & Software 1 Journal of Inequalities and Applications 1 PAA. Pattern Analysis and Applications 1 Extremes 1 CEJOR. Central European Journal of Operations Research 1 Stochastic Models 1 Hacettepe Journal of Mathematics and Statistics ...and 14 more Serials
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### Cited in 40 Fields

 220 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 143 Operations research, mathematical programming (90-XX) 129 Computer science (68-XX) 127 Measure and integration (28-XX) 109 Mathematical logic and foundations (03-XX) 78 Statistics (62-XX) 56 Order, lattices, ordered algebraic structures (06-XX) 51 Probability theory and stochastic processes (60-XX) 38 Real functions (26-XX) 34 Difference and functional equations (39-XX) 27 Information and communication theory, circuits (94-XX) 18 Group theory and generalizations (20-XX) 15 General algebraic systems (08-XX) 7 Combinatorics (05-XX) 7 Numerical analysis (65-XX) 6 Functional analysis (46-XX) 5 Commutative algebra (13-XX) 5 Convex and discrete geometry (52-XX) 4 General topology (54-XX) 4 Systems theory; control (93-XX) 3 Number theory (11-XX) 3 Associative rings and algebras (16-XX) 3 Biology and other natural sciences (92-XX) 2 General and overarching topics; collections (00-XX) 2 Nonassociative rings and algebras (17-XX) 2 Topological groups, Lie groups (22-XX) 2 Operator theory (47-XX) 1 Field theory and polynomials (12-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Sequences, series, summability (40-XX) 1 Approximations and expansions (41-XX) 1 Integral transforms, operational calculus (44-XX) 1 Integral equations (45-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Geometry (51-XX) 1 Differential geometry (53-XX) 1 Quantum theory (81-XX) 1 Geophysics (86-XX)