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Prof. Dr. Jean-Luc Marichal
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| Faculty or Centre | Faculty of Science, Technology and Medicine | ||||||||
| Department | Department of Mathematics | ||||||||
| Postal Address |
Université du Luxembourg Maison du Nombre 6, Avenue de la Fonte L-4364 Esch-sur-Alzette |
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| Campus Office | MNO, E05 0515-080 | ||||||||
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| Telephone | (+352) 46 66 44 6662 | ||||||||
| Speaks | English, French | ||||||||
In press
A generalization of Bohr-Mollerup's theorem for higher order convex functions: A tutorial;
in Aequationes Mathematicae (in press)
2023
Nonstandard n-distances based on certain geometric constructions;
in Beiträge zur Algebra und Geometrie (2023), 64(1), 107-126
2022
Reducibility of n-ary semigroups: from quasitriviality towards idempotency; ; ;
in Beiträge zur Algebra und Geometrie (2022), 63(1), 149-166
A generalization of Bohr-Mollerup's theorem for higher order convex functions;
Book published by Springer (2022)
2020
On the best constants associated with n-distances;
in Acta Mathematica Hungarica (2020), 161(1), 341-365
2019
Quasitrivial semigroups: characterizations and enumerations; ;
in Semigroup Forum (2019), 98(3), 472498
On idempotent n-ary uninorms; ;
in Torra, Vicenç; Narukawa, Yasuo; Pasi, Gabriella; Viviani, Marco (Eds.) Modeling Decisions for Artifical Intelligence (2019, July 24)
Characterizations of idempotent n-ary uninorms; ;
in 38th Linz Seminar on Fuzzy Set Theory (2019, February 05)
Characterizations of quasitrivial symmetric nondecreasing associative operations; ;
in Semigroup Forum (2019), 98(1), 154-171
Characterizations and classifications of quasitrivial semigroups; ;
Scientific Conference (2019, March 03)
2018
Associative and quasitrivial operations on finite sets: characterizations and enumeration; ;
Scientific Conference (2018, July 02)
A generalization of the concept of distance based on the simplex inequality; ;
in Beitraege zur Algebra und Geometrie = Contributions to Algebra and Geometry (2018), 59(2), 247266
2017
Sur les uninormes discrètes idempotentes; ;
in Couceiro, Miguel; Devillet, Jimmy; Marichal, Jean-Luc (Eds.) LFA 2017 - Rencontres francophones sur la logique floue et ses applications (2017, October)
On idempotent discrete uninorms; ;
in De Baets, Bernard; Torra, Vicenç; Mesiar, Radko (Eds.) Aggregation Functions in Theory and in Practice (2017, June)
On conservative and associative operations on finite chains; ;
Scientific Conference (2017, June 16)
Recent results on conservative and symmetric n-ary semigroups; ;
Scientific Conference (2017, June 16)
Associative and quasitrivial operations on finite sets (invited lecture); ;
Scientific Conference (2017, November 10)
A classification of polynomial functions satisfying the Jacobi identity over integral domains;
in Aequationes Mathematicae (2017), 91(4), 601-618
Probability signatures of multistate systems made up of two-state components; ; ;
Scientific Conference (2017, July)
Joint signature of two or more systems with applications to multistate systems made up of two-state components; ; ;
in European Journal of Operational Research (2017), 263(2), 559-570
2016
Relaxations of associativity and preassociativity for variadic functions; ;
in Fuzzy Sets and Systems (2016), 299
Conservative median algebras and semilattices; ;
in Order: A Journal on the Theory of Ordered Sets and its Applications (2016), 33(1), 121-132
A characterisation of associative idempotent nondecreasing functions with neutral elements; ; ; ;
Scientific Conference (2016, June)
International Symposium on Aggregation and Structures (ISAS 2016) - Book of abstracts; ;
Book published by NA (2016)
An extension of the concept of distance as functions of several variables; ;
in De Baets, Bernard; Mesiar, Radko; Saminger-Platz, Susanne; Klement, Erich Peter (Eds.) 36th Linz Seminar on Fuzzy Set Theory (LINZ 2016) - Functional Equations and Inequalities (2016, February)
Strongly barycentrically associative and preassociative functions;
in Journal of Mathematical Analysis and Applications (2016), 437(1), 181-193
A characterization of barycentrically preassociative functions;
in Results in Mathematics (2016), 69(1), 245-256
The mathematics behind the property of associativity;
in De Baets, Bernard; Mesiar, Radko; Saminger-Platz, Susanne; Klement, Erich Peter (Eds.) 36th Linz Seminar on Fuzzy Set Theory (LINZ 2016) - Functional Equations and Inequalities (2016, February)
Strongly barycentrically associative and preassociative functions;
Scientific Conference (2016, November 08)
2015
La logique floue et ses applications; ; ;
in Revue d'Intelligence Artificielle (2015), 29(5), 489-619
Agrégation des valeurs médianes et fonctions compatibles pour la comparaison; ;
in Lefèvre, Erice; Hadjali, Allel (Eds.) Rencontres francophones sur la logique floue et ses applications 2015 (2015, November)
Median Preserving Aggregation Functions; ;
in Baczyński, Michal; De Baets, Bernard; Mesiar, Radko (Eds.) Proceedings of the 8th Int. Summer School on Aggregation Operators (2015, July)
Generalizations and variants of associativity for variadic functions: a survey (invited talk)Scientific Conference (2015, June 17)
Algorithms and formulas for conversion between system signatures and reliability functionsin Journal of Applied Probability (2015), 52(2), 490-507
A classification of barycentrically associative polynomial functions; ;
in Aequationes Mathematicae (2015), 89(5), 1281-1291
Generalizations and variants of associativity for aggregation functions (2-hour tutorial);
in Baczyński, Michal; De Baets, Bernard; Mesiar, Radko (Eds.) Proceedings of the 8th Int. Summer School on Aggregation Operators (2015, July)
Barycentrically associative and preassociative functions;
in Acta Mathematica Hungarica (2015), 145(2), 468-488
2014
Quasi-Lovász extensions on bounded chains;
in Laurent, Anne; Strauss, Olivier; Bouchon-Meunier, Bernadette; Yager, Ronald R. (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 (2014, July 22)
On the use of power indexes in reliability theory (invited lecture)Scientific Conference (2014, November 07)
Computing subsignatures of systems with exchangeable component lifetimesin Statistics and Probability Letters (2014), 94
Analyse de fiabilité des systèmes semicohérents et description par des polynômes latticielsPresentation (2014, October 23)
Analyse de fiabilité des systèmes et description par des polynômes latticielsPresentation (2014, March 07)
Influence and interaction indexes for pseudo-Boolean functions: a unified least squares approach;
in Discrete Applied Mathematics (2014), 179
On structure signatures and probability signatures of general decomposable systems (invited talk); ;
Scientific Conference (2014, June 16)
Preassociative aggregation functions;
in Laurent, Anne; Strauss, Olivier; Bouchon-Meunier, Bernadette; Yager, Ronald R. (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 (2014, July 22)
2013
On comonotonically modular functions;
in Mesiar, Radko; Pap, Endre; Klement, Erich Peter (Eds.) 34th Linz Seminar on Fuzzy Set Theory (LINZ 2013) - Non-Classical Measures and Integrals (2013)
Actes des 22èmes rencontres francophones sur la Logique Floue et ses Applications, 10-11 octobre 2013, Reims, France; ;
Book published by Université de Reims Champagne-Ardenne (2013)
On the extensions of Barlow-Proschan importance index and system signature to dependent lifetimes;
in Journal of Multivariate Analysis (2013), 115
Computing system signatures through reliability functions;
in Statistics and Probability Letters (2013), 83(3), 710-717
Fonctions d’agrégation barycentriquement associatives;
in Marichal, Jean-Luc; Essounbouli, Najib; Guelton, Kevin (Eds.) Actes des 22èmes rencontres francophones sur la Logique Floue et ses Applications, 10-11 octobre 2013, Reims, France (2013, October)
Pivotal decompositions of aggregation functions;
in Mesiar, Radko; Pap, Endre; Klement, Erich Peter (Eds.) 34th Linz Seminar on Fuzzy Set Theory (LINZ 2013) - Non-Classical Measures and Integrals (2013)
On the cardinality index of fuzzy measures and the signatures of coherent systems;
in Mesiar, Radko; Pap, Endre; Klement, Erich Peter (Eds.) 34th Linz Seminar on Fuzzy Set Theory (LINZ 2013) - Non-Classical Measures and Integrals (2013)
2012
Using Choquet integral in Machine Learning: what can MCDA bring?; ; ; ;
in DA2PL' 2012 - from Multiple Criteria Decision Aid to Preference Learning (2012)
Quasi-extensions de Lovász et leur version symétrique;
in Rencontres francophones sur la logique floue et ses applications 2012 (2012, November 15)
Polynomial functions over bounded distributive lattices;
in Journal of Multiple-Valued Logic and Soft Computing (2012), 18(3-4), 247-256
Quasi-Lovász extensions and their symmetric counterparts;
in Greco, S.; Bouchon-Meunier, B.; Coletti, G.; Fedrizzi, M.; Matarazzo, B.; Yager, R. R. (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 (2012)
Locally monotone Boolean and pseudo-Boolean functions; ;
in Discrete Applied Mathematics (2012), 160(12), 1651-1660
Hierarchies of local monotonicities and lattice derivatives for Boolean and pseudo-Boolean functions; ;
in Miller, D. Michael; Gaudet, Vincent C. (Eds.) 42nd IEEE International Symposium on Multiple-Valued Logic, ISMVL 2012, Victoria, BC, Canada, May 14-16, 2012 (2012)
Reliability of systems with dependent components based on lattice polynomial description;
in Stochastic Models (2012), 28(1), 167-184
A classification of bisymmetric polynomial functions over integral domains of characteristic zero;
in Aequationes Mathematicae (2012), 84(1-2), 125-136
Symmetric approximations of pseudo-Boolean functions with applications to influence indexes;
in Applied Mathematics Letters (2012), 25(8), 1121-1126
2011
Axiomatizations of signed discrete Choquet integrals; ; ;
in International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems (2011), 19(2), 193-199
An algorithm for producing median formulas for Boolean functions; ; ;
in Proc. of the Reed Muller 2011 Workshop (2011, July)
Axiomatizations of quasi-Lovász extensions of pseudo-Boolean functions;
in Aequationes Mathematicae (2011), 82(3), 213-231
Axiomatizations of Lovász extensions of pseudo-Boolean functions;
in Fuzzy Sets and Systems (2011), 181(1), 28-38
Associative polynomial functions over bounded distributive lattices;
in Order: A Journal on the Theory of Ordered Sets and its Applications (2011), 28(1), 1-8
Axiomatizations of the discrete Choquet integral and extensions;
in Galichet, Sylvie; Montero, Javier; Mauris, Gilles (Eds.) Proceedings of the 7th conference of the European Society for Fuzzy Logic and Technology (EUSFLAT-2011) and LFA-2011 (2011)
On three properties of the discrete Choquet integral;
in Dubois, Didier; Grabisch, Michel; Mesiar, Radko; Klement, Erich Peter (Eds.) 32nd Linz Seminar on Fuzzy Set Theory (LINZ 2011) - Decision Theory: Qualitative and Quantitative Approaches (2011)
Aggregation functions: Construction methods, conjunctive, disjunctive and mixed classes; ; ;
in Information Sciences (2011), 181(1), 23-43
Influence and interaction indexes in cooperative games: a unified least squares approach;
Scientific Conference (2011, November 10)
A description of n-ary semigroups polynomial-derived from integral domains;
in Semigroup Forum (2011), 83(2), 241-249
Extensions of system signature and Barlow-Proschan importance index to dependent lifetimes;
Presentation (2011, September 07)
Measuring the interactions among variables of functions over the unit hypercube;
in Journal of Mathematical Analysis and Applications (2011), 380(1), 105-116
Weighted Banzhaf power and interaction indexes through weighted approximations of games;
in European Journal of Operational Research (2011), 211(2), 352-358
Extensions of system signatures to dependent lifetimes: Explicit expressions and interpretations;
in Journal of Multivariate Analysis (2011), 102(5), 931-936
Indices de pouvoir et d'interaction en théorie des jeux coopératifs: une approche par moindres carrés;
Presentation (2011, January 18)
Weighted Banzhaf power and interaction indexes through weighted approximations of games;
in Dubois, Didier; Grabisch, Michel; Mesiar, Radko; Klement, Erich Peter (Eds.) 32nd Linz Seminar on Fuzzy Set Theory (LINZ 2011) - Decision Theory: Qualitative and Quantitative Approaches (2011)
On signature-based expressions of system reliability; ;
in Journal of Multivariate Analysis (2011), 102(10), 1410-1416
Signatures, decompositions of reliability, and approximation problems; ;
Presentation (2011, September 07)
Agents in the shadow (cooperative games with non-cooperating players); ;
Scientific Conference (2011, July 19)
2010
Quasi-polynomial functions over bounded distributive lattices;
in Aequationes Mathematicae (2010), 80(3), 319-334
Explicit descriptions of associative Sugeno integrals;
in Hüllermeier, Eyke; Kruse, Rudolf; Hoffmann, Frank (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 (2010, June 17)
Characterizations of discrete Sugeno integrals as polynomial functions over distributive lattices;
in Fuzzy Sets and Systems (2010), 161(5), 694-707
Representations and characterizations of polynomial functions on chains;
in Journal of Multiple-Valued Logic and Soft Computing (2010), 16(1-2), 65-86
Measuring the influence of the kth largest variable on functions over the unit hypercube;
in Torra, Vicenc; Narukawa, Yasuo; Daumas, Marc (Eds.) Modeling Decisions for Artificial Intelligence: Proceedings 7th International Conference, MDAI 2010, Perpignan, France, October 27-29, 2010 (2010, October 19)
Measuring the interactions among variables of functions over the unit hypercube;
in Torra, Vicenc; Narukawa, Yasuo; Daumas, Marc (Eds.) Modeling Decisions for Artificial Intelligence: Proceedings 7th International Conference, MDAI 2010, Perpignan, France, October 27-29, 2010 (2010, October 19)
Weighted Banzhaf interaction indexes and weighted least squares;
Scientific Conference (2010, January)
Measuring the interactions among variables of functions over the unit hypercube;
Scientific Conference (2010, January)
2009
Axiomatizations of quasi-polynomial functions on bounded chains;
in Aequationes Mathematicae (2009), 78(1-2), 195-213
Characterizations of discrete Sugeno integrals as lattice polynomial functions;
in Bodenhofer, Ulrich; De Baets, Bernard; Klement, Erich Peter; Saminger-Platz, Susanne (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? (2009, February)
From discrete Sugeno integrals to generalized lattice polynomial functions: axiomatizations and representations (invited lecture);
in González, Manuel; Mayor, Gaspar; Suner, Jaume; Torrens, Joan (Eds.) Proc. 5th Int. Summer School on Aggregation Operators and their Applications (AGOP 2009) (2009)
Quasi-polynomial functions on bounded chains;
in Carvalho, J. P.; Dubois, D.; Kaymak, U.; Sousa, J. M. C. (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) (2009)
Polynomial functions on bounded chains;
in Carvalho, J.-P.; Dubois, D.; Kaymak, U.; Sousa, J. M. C. (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) (2009)
Analyse de fiabilité des systèmes semicohérents et description par des polynômes latticiels;
Scientific Conference (2009, February 10)
Aggregation on bipolar scales; ; ;
in Bodenhofer, Ulrich; De Baets, Bernard; Klement, Erich Peter; Saminger-Platz, Susanne (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? (2009, February)
On the moments and distribution of discrete Choquet integrals from continuous distributions;
in Journal of Computational and Applied Mathematics (2009), 230(1), 83-94
Aggregation functions for decision makingin Bouyssou, Denis; Dubois, Didier; Pirlot, Marc; Prade, Henri (Eds.) Decision-Making Process – Concepts and Methods (2009)
The Chisini mean revisitedin González, Manuel; Mayor, Gaspar; Suner, Jaume; Torrens, Joan (Eds.) Proc. 5th Int. Summer School on Aggregation Operators and their Applications (AGOP 2009) (2009)
Behavioral analysis of aggregation functions; ; ;
in Bodenhofer, Ulrich; De Baets, Bernard; Klement, Erich Peter; Saminger-Platz, Susanne (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? (2009, February)
Meaningful aggregation functions mapping ordinal scales into an ordinal scale: a state of the art;
in Aequationes Mathematicae (2009), 77(3), 207-236
Contribution on some construction methods for aggregation functions; ; ;
in Bodenhofer, Ulrich; De Baets, Bernard; Klement, Erich Peter; Saminger-Platz, Susanne (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? (2009, February)
Infinitary aggregation; ; ;
in Bodenhofer, Ulrich; De Baets, Bernard; Klement, Erich Peter; Saminger-Platz, Susanne (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? (2009, February)
2008
Counting non-isomorphic maximal independent sets of the n-cycle graph;
in Journal of Integer Sequences (2008), 11(5), 1-16
Reliability analysis and lattice polynomial system representation;
Scientific Conference (2008, October 17)
System reliability and weighted lattice polynomials;
in Probability in the Engineering and Informational Sciences (2008), 22(3), 373-388
“Aggregation Functions”, Cambridge University Press; ; ;
in Proc. of the 6th Int. Symposium on Intelligent Systems and Informatics (SISY 2008) (2008, September)
Multivariate integration of functions depending explicitly on the minimum and the maximum of the variablesin Journal of Mathematical Analysis and Applications (2008), 341(1), 200-210
Weighted lattice polynomials of independent random variablesin Discrete Applied Mathematics (2008), 156(5), 685-694
Distribution functions of linear combinations of lattice polynomials from the uniform distribution;
in Statistics and Probability Letters (2008), 78(8), 985-991
Approximations of Lovász extensions and their induced interaction index;
in Discrete Applied Mathematics (2008), 156(1), 11-24
Slices, slabs, and sections of the unit hypercube;
in Online Journal of Analytic Combinatorics (2008), 3
Disaggregation of bipolar-valued outranking relations and application to the inference of model parameters; ;
Scientific Conference (2008, January)
Disaggregation of bipolar-valued outranking relations; ;
in Le Thi, Hoai An; Bouvry, Pascal; Pham Dinh, Tao (Eds.) Modelling, Computation and Optimization in Information Systems and Management Sciences (2008, August 28)
2007
Human centered processes: Toward a naturalistic decision making paradigm; ;
in European Journal of Operational Research (2007), 177(3), 1313-2118
Counting non-isomorphic maximal independent sets of the n-cycle graph;
Scientific Conference (2007, January)
On the moments and the distribution of the Choquet integral;
in Štěpnička, Martin; Novák, Vilém; Bodenhofer, Ulrich (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 (2007, September)
Aggregation Functions for Multicriteria Decision Aid (invited lecture)Scientific Conference (2007, September)
Multivariate integration of functions depending explicitly on the minimum and the maximum of the variablesin De Baets, Bernard; Maes, Koen C.; Mesiar, Radko (Eds.) Proc. 4th Int. Summer School on Aggregation Operators and their Applications (AGOP 2007), Ghent, Belgium, July 9-14, 2007 (2007, July)
k-intolerant capacities and Choquet integralsin European Journal of Operational Research (2007), 177(3), 1453-1468
Derivative relationships between volume and surface area of compact regions in Rd;
in Rocky Mountain Journal of Mathematics (2007), 37(2), 551-571
Axiomatic characterizations of generalized values; ;
in Discrete Applied Mathematics (2007), 155(1), 26-43
Disaggregation of bipolar-valued outranking relations and application to the inference of model parameters; ;
Scientific Conference (2007, September)
2006
Axiomatic characterizations of probabilistic and cardinal-probabilistic interaction indices; ;
in Games and Economic Behavior (2006), 55(1), 72-99
Cumulative distribution functions and moments of lattice polynomialsin Statistics and Probability Letters (2006), 76(12), 1273-1279
Weighted lattice polynomialsin Proc. 11th Int. Conf. on Information Processing and Management of Uncertainty in Knowledge-Based Systems (IPMU 2006), Paris, France, July 2-7, 2006 (2006, July)
Cumulative distribution functions and moments of weighted lattice polynomialsPresentation (2006, June 05)
The weighted lattice polynomials as aggregation functionsin Proc. 63rd Meeting of the Eur. Working Group "Multiple Criteria Decision Aiding" (MCDA 63) (2006, March)
Cumulative distribution functions and moments of weighted lattice polynomialsin Fodor, János; Klement, Erich Peter; Roubens, Marc (Eds.) Proc. 27th Linz Seminar on Fuzzy Set Theory (LINZ 2006): Preferences, Games and Decisions (2006, February)
Fonctions d'agrégation pour la décisionin Bouyssou, Denis; Dubois, Didier; Pirlot, Marc; Prade, Henri (Eds.) Concepts et Méthodes pour l'Aide à la Décision Vol. 3 (2006)
2005
Proc. of the 61st Meeting of the Eur. Working Group "Multiple Criteria Decision Aiding" (Luxembourg, March 10-12, 2005) - Theme: Preference Modelling; ;
Book published by SMA - University of Luxembourg (2005)
Entropy of bi-capacities;
in Montseny, Eduard; Sobrevilla, Pilar (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. (2005, September)
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 (2005, July)
An axiomatic approach to the definition of the entropy of a discrete Choquet capacity; ;
in Information Sciences (2005), 172(1-2), 131-153
Derivative relationships between volume and surface area of compact regions in RdPresentation (2005, April 08)
k-intolerant capacities and Choquet integralsin Barthélemy, Jean-Pierre; Lenca, Philippe (Eds.) Advances in Multicriteria Decision Aid - Progrès en Aide Multicritère à la Décision (ENST Bretagne, 2005) (2005)
A complete description of comparison meaningful functions; ;
in Montseny, Eduard; Sobrevilla, Pilar (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. (2005, September)
A complete description of comparison meaningful functions; ;
in Proc. 3rd Int. Summer School on Aggregation Operators and their Applications (AGOP 2005), Lugano, Switzerland (2005, July)
A complete description of comparison meaningful functions; ;
in Aequationes Mathematicae (2005), 69(3), 309-320
Sorting multiattribute alternatives: The TOMASO method; ;
in Computers and Operations Research (2005), 32(4), 861-877
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 (2004, July)
k-intolerant bi-capacities and veto criteria; ; ;
in López-Díaz, Miguel Concepcion; Gil, Maria Angeles; Grzegorzewski, Przemyslaw; Hryniewicz, Olgierd; Lawry, Jonathan (Eds.) Soft Methodology and Random Information Systems (2004, July 30)
k-intolerant capacities and Choquet integralsin Proc. 10th Int. Conf. on Information Processing and Management of Uncertainty in Knowledge-Based Systems (IPMU 2004), Perugia, Italy, July 4-9, 2004 (2004, July)
Tolerant or intolerant character of interacting criteria in aggregation by the Choquet integralin European Journal of Operational Research (2004), 155(3), 771-791
k-intolerant capacities and Choquet integralsin Klement, Erich Peter; Pap, Endre (Eds.) Proc. 25th Linz Seminar on Fuzzy Set Theory (LINZ 2004): Mathematics of Fuzzy Systems (2004, February)
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 (2004, November)
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 (2004, July)
Aggregation on finite ordinal scales by scale independent functions;
in Order: A Journal on the Theory of Ordered Sets and its Applications (2004), 21(2), 155-180
A complete description of comparison meaningful functions; ;
in Bouyssou, Denis; Janowitz, Mel; Roberts, Fred; Tsoukiàs, Alexis (Eds.) Annales du LAMSADE No 3 - Octobre 2004 (2004, October)
TOMASO, A solution in the presence of interacting points of views; ;
Article for general public (2004)
2003
Derivative relationships between volume and surface area of compact regions in RdPresentation (2003, October 21)
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 (2003, July)
On tolerant or intolerant character of interacting criteria in aggregation by the Choquet integralin Bisdorff, Raymond (Ed.) Proc. 14th Mini-Euro Conference, Human Centered Processes, Distributed Decision Making and Man-Machine Cooperation (HCP 2003), Luxembourg, May 5-7, 2003 (2003, May)
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 (2002, July)
On order invariant synthesizing functionsin Journal of Mathematical Psychology (2002), 46(6), 661-676
On order invariant synthesizing functionsin Proc. 9th Int. Conf. on Information Processing and Management of Uncertainty in Knowledge-Based Systems (IPMU 2002), Annecy, France, July 1-5, 2002 (2002, July)
Entropy of discrete Choquet capacitiesin European Journal of Operational Research (2002), 137(3), 612-624
Aggregation of interacting criteria by means of the discrete Choquet integralin Calvo, Tomasa; Mayor, Gaspar; Mesiar, Radko (Eds.) Aggregation operators: new trends and applications (2002)
2001
The use of the discrete Sugeno integral in decision making: a survey; ; ; ;
in International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems (2001), 9(5), 539-561
The use of the discrete Sugeno integral in decision making: a survey; ; ; ;
in Colorni, A.; Paruccini, M.; Roy, B. (Eds.) AMCDA - Aide Multi Critère à la Décision (Multiple Criteria Decision Aiding) (2001)
An axiomatic approach of the discrete Sugeno integral as a tool to aggregate interacting criteria in a qualitative frameworkin IEEE Transactions on Fuzzy Systems (2001), 9(1), 164-172
On comparison meaningfulness of aggregation functions;
in Journal of Mathematical Psychology (2001), 45(2), 213-223
On a sorting procedure in the presence of qualitative interacting points of view;
in Klement, Erich Peter; Roubens, Marc (Eds.) Proc. 22nd Linz Seminar on Fuzzy Set Theory (LINZ 2001): Valued Relations and Capacities in Decision Theory (2001, February)
On a sorting procedure in the presence of qualitative interacting points of view;
in Chojcan, J.; Leski, J. (Eds.) Fuzzy sets and their applications (2001)
2000
La Recherche Opérationelle: une discipline au service de l'efficacité; ;
Article for general public (2000)
Equivalent representations of set functions; ;
in Mathematics of Operations Research (2000), 25(2), 157-178
The influence of variables on pseudo-Boolean functions with applications to game theory and multicriteria decision makingin Discrete Applied Mathematics (2000), 107(1-3), 139-164
An axiomatic approach of the discrete Choquet integral as a tool to aggregate interacting criteriain IEEE Transactions on Fuzzy Systems (2000), 8(6), 800-807
Behavioral analysis of aggregation in multicriteria decision aidin Proc. 3rd Int. Workshop on Preferences and Decisions (TRENTO 2000) (2000, June)
On an axiomatization of the quasi-arithmetic mean values without the symmetry axiomin Aequationes Mathematicae (2000), 59(1-2), 74-83
The use of the discrete Sugeno integral in multi-criteria decision makingScientific Conference (2000, January)
L'utilisation de l'intégrale de Sugeno discrète en aide multicritère à la décisionScientific Conference (2000, January)
On Choquet and Sugeno integrals as aggregation functionsin Grabisch, Michel; Murofushi, Toshiaki; Sugeno, Michio (Eds.) Fuzzy Measures and Integrals - Theory and Applications (2000)
Behavioral analysis of aggregation in multicriteria decision aidin Fodor, Janos; De Baets, Bernard; Perny, Patrice (Eds.) Preferences and Decisions under Incomplete Knowledge (2000)
Entropy of discrete fuzzy measures;
in International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems (2000), 8(6), 625-640
Determination of weights of interacting criteria from a reference set;
in European Journal of Operational Research (2000), 124(3), 641-650
Entropy of discrete fuzzy measures;
in Proc. 3rd Int. Workshop on Preferences and Decisions (TRENTO 2000) (2000, June)
1999
Equivalent representations of a set function with applications to game theory and multicriteria decision making; ;
in de Swart, Harrie (Ed.) Proc. of the Int. Conf. on Logic, Game theory and Social choice (LGS'99), Oisterwijk, the Netherlands, May 13-16, 1999 (1999, May)
L'agrégation de critères interactifs au moyen de l'intégrale de Choquet discrètePresentation (1999, December 17)
Agrégation de critères interactifs au moyen de l'intégrale de Choquet discrètein Actes des "Rencontres francophones sur la logique floue et ses applications" (LFA'99), Valenciennes, France, Oct. 21-22, 1999 (1999, October)
L'intégrale de Choquet en tant qu'outil permettant d'agréger des utilités en présence de points de vue interactifsScientific Conference (1999, January)
Determination of Weights of Interacting Criteria from a Reference SetScientific Conference (1999, January)
A characterization of the ordered weighted averaging functions based on the ordered bisymmetry property;
in IEEE Transactions on Fuzzy Systems (1999), 7(1), 93-96
Characterization of some aggregation functions stable for positive linear transformations; ;
in Fuzzy Sets and Systems (1999), 102(2), 293-314
Consensus with ordinal data;
in Proc. 7th Eur. Congr. on Intelligent Techniques and Soft Computing (EUFIT'99) (1999, September)
Entropy of a Choquet capacity;
in Mayor, Gaspar; Suñer, Jaume (Eds.) Proceedings of the 1999 EUSFLAT-ESTYLF Joint Conference, Palma de Mallorca, Spain, September 22-25, 1999. (1999, September)
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 (1999, September)
About the Choquet integral as a tool to aggregate utilities in the presence of interacting points of view;
Scientific Conference (1999, August)
About the Choquet integral as an aggregator in the framework of MCDA with interacting criteria;
in De Baets, B.; Fodor, J.; Kóczy, L.T. (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 (1999, May)
The chaining interaction index among players in cooperative games;
in Meskens, Nadine; Roubens, Marc (Eds.) Advances in Decision Analysis (Mons, 1997) (1999)
1998
Equivalent representations of a set function with application to game theory and multicriteria decision making; ;
Scientific Conference (1998, October)
Approximations of the Lovász extension of pseudo-Boolean functions; applications to multicriteria decision makingPresentation (1998, October 22)
On Sugeno integral as an aggregation functionin Proc. 6th Eur. Congr. on Intelligent Techniques and Soft Computing (EUFIT'98) (1998, September)
Opérateurs d'agrégation et leurs propriétés en présence de critères interactifs : ii) Applications à l'aide multicritère à la décision;
Presentation (1998, November 06)
Opérateurs d'agrégation et leurs propriétés en présence de critères interactifs : i) Fondements;
Presentation (1998, October 30)
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) (1998, September)
Dependence between criteria and multiple criteria decision aid;
in Proc. 2nd Int. Workshop on Preferences and Decision (TRENTO'98) (1998, July)
Détermination des poids des critères interactifs à partir d'un ensemble de référence;
Scientific Conference (1998, April)
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 (1997, May)
Aggregation of ordinal data and open problems related to possibilistic approximation of monotonic set functionsScientific Conference (1997, May 22)
Characterization of some aggregation functions stable for positive linear transformations; ;
Scientific Conference (1997, January)
1996
Caractérisation de certaines fonctions d'agrégation utilisées en analyse multicritèrePresentation (1996, October 18)
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 (1996, October)
1995
Characterization of some aggregation functions arising from MCDM problems; ;
in Bouchon-Meunier, Bernadette; Yager, Ronald R.; Zadeh, Lotfi A. (Eds.) Fuzzy Logic and Soft Computing (1995)
Characterization of the ordered weighted averaging operators; ;
in IEEE Transactions on Fuzzy Systems (1995), 3(2), 236-240
1994
Characterization of some aggregation functions arising from MCDM problems; ;
in Bouchon-Meunier, Bernadette; Yager, Ronald R.; Zadeh, Lotfi A. (Eds.) Proc. 5th Int. Conf. on Information Processing and Management of Uncertainty in Knowledge-Based Systems (IPMU'94) (1994, July)
1993
Characterization of some stable aggregation functions;
in Proc. 1st Int. Conf. on Industrial Engineering and Production Management (IEPM’93) (1993, June)
1992
Caractérisation de méthodes de rangement basées sur des relations binaires valuéesBachelor/master dissertation (1992)
