The logical encoding of Sugeno integrals

Fuzzy Sets and Systems

Volumn 241, Issue , 2014, Pages 61-75

  Dubois, Didier ^a   Prade, Henri ^a   Rico, Agnès ^b  

^a UNIVERSITÉ DE TOULOUSE   (France)

^b UNIVERSITÉ LYON 1   (France)

Author keywords

Discrete Sugeno integrals; Possibilistic logic; Possibility theory

Indexed keywords

ARTIFICIAL INTELLIGENCE; FUZZY SETS;

AGGREGATION OPERATOR; DISCRETE SUGENO INTEGRAL; LOGICAL ENCODING; MULTIPLE CRITERIA; POSSIBILISTIC LOGIC; POSSIBILITY THEORY; PROPOSITIONAL LOGIC; SUGENO INTEGRALS;

FORMAL LOGIC;

EID: 84897435465     PISSN: 01650114     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.fss.2013.12.014     Document Type: Conference Paper

References (27)

1. S. Benferhat, and S. Kaci Logical representation and fusion of prioritized information based on guaranteed possibility measures application to the distance-based merging of classical bases Artif. Intell. 148 2003 291 333
2. S. Benferhat, D. Dubois, S. Kaci, and H. Prade Bipolar possibility theory in preference modeling representation, fusion and optimal solutions Inf. Fusion 7 2006 135 150
3. G. Choquet Theory of capacities Ann. Inst. Fourier 5 1953 131 295
4. M. Couceiro, and J.-L. Marichal Characterizations of discrete Sugeno integrals as polynomial functions over distributive lattices Fuzzy Sets Syst. 161 2010 694 707
5. D. Dubois, D. Le Berre, H. Prade, and R. Sabbadin Using possibilistic logic for modeling qualitative decision ATMS-based algorithms Fund. Inf. 37 1-2 1999 1 30
6. D. Dubois, J.-L. Marichal, H. Prade, M. Roubens, and R. Sabbadin The use of the discrete Sugeno integral in decision-making a survey Int. J. Uncertain. Fuzziness Knowl. Based Syst. 9 2001 539 561
7. D. Dubois, H. Prade, Possibility theory as a basis for preference propagation in automated reasoning, in: Proceedings of the First IEEE International Conference on Fuzzy Systems 1992 (FUZZ-IEEE'92), San Diego, CA, March 8-12, 1992, pp. 821-832.
8. D. Dubois, and H. Prade Possibility theory qualitative and quantitative aspects P. Smets, Handbook on Defeasible Reasoning and Uncertainty Management Systems, Quantified Representation of Uncertainty and Imprecision vol. 1 1998 Kluwer Academic Publishers Dordrecht, The Netherlands 169 226
9. D. Dubois, and H. Prade Qualitative possibility functions and integrals E. Pap, Handbook of Measure Theory vol. 2 2002 Elsevier Amsterdam 1469 1521
10. D. Dubois, and H. Prade Possibilistic logic a retrospective and prospective view Fuzzy Sets Syst. 144 2004 3 23
11. D. Dubois, and H. Prade Generalized possibilistic logic S. Benferhat, J. Grant, Proceedings of the Fifth International Conference on Scalable Uncertainty Management (SUM'11), Dayton, Ohio, Lecture Notes in Computer Science vol. 29 2011 Springer Berlin 428 432
12. D. Dubois, H. Prade, and A. Rico A possibilistic logic view of Sugeno integrals P. Melo-Pinto, Proceedings of the Eurofuse Workshop on Fuzzy Methods for Knowledge-Based Systems (EUROFUSE'11), Advances in Intelligent and Soft Computing, Régua, Portugal vol. 107 2011 Springer Berlin 19 30
13. R. Gérard, S. Kaci, H. Prade, Ranking alternatives on the basis of generic constraints and examples - a possibilistic approach, in: M.M. Veloso (Ed.), Proceedings of the 20th International Joint Conference on Artificial Intelligence (IJCAI 2007), Hyderabad, January 6-12, 2007, pp. 393-398.
14. M. Grabisch The Möbius transform on symmetric ordered structures and its application to capacities on finite sets Discret. Math. 287 2004 17 34
15. M. Grabisch, and C. Labreuche A decade of application of the Choquet and Sugeno integrals in multi-criteria decision aid Ann. Oper. Res. 175 2010 247 286
16. S. Greco, B. Matarazzo, and R. Slowinski Axiomatic characterization of a general utility function and its particular cases in terms of conjoint measurement and rough-set decision rules Eur. J. Oper. Res. 158 2004 271 292
17. A. Kandel, and W.J. Byatt Fuzzy sets, fuzzy algebra, and fuzzy statistics Proc. IEEE 66 1978 1619 1639
18. C. Labreuche A general framework for explaining the results of a multi-attribute preference model Artif. Intell. 175 2011 1410 1448
19. J.-L. Marichal, Aggregation Operations for Multicriteria Decision Aid (Ph.D. thesis), University of Liège, Belgium, 1998.
20. J.-L. Marichal On Sugeno integral as an aggregation function Fuzzy Sets Syst. 114 3 2000 347 365
21. R. Mesiar, k-order Pan-discrete fuzzy measures, in: Proceedings of the Seventh International Fuzzy Systems Association World Congress (IFSA'97), Prague, vol. 1, June 25-29, 1997, pp. 488-490.
22. G. Shafer A Mathematical Theory of Evidence 1976 Princeton University Press Princeton, N.J.
23. M. Sugeno, Theory of fuzzy integrals and its applications (Ph.D. thesis), Tokyo Institute of Technology, Tokyo, 1974.
24. M. Sugeno Fuzzy measures and fuzzy integrals a survey M.M. Gupta, G.N. Saridis, B.R. Gaines, Fuzzy Automata and Decision Processes 1977 North-Holland Amsterdam 89 102
25. H. Prade, A. Rico, and M. Serrurier Elicitation of Sugeno integrals a version space learning perspective J. Rauch, Z.W. Ras, P. Berka, T. Elomaa, Proceedings of the 18th International Symposium on Methodologies for Intelligent Systems (ISMIS'09), Prague, Lecture Notes in Artificial Intelligence vol. 5722 September 14-17, 2009 Springer Berlin 392 401
26. H. Prade, A. Rico, M. Serrurier, and E. Raufaste Elicitating Sugeno integrals methodology and a case study C. Sossai, G. Chemello, Proceedings of the 10th European Conference on Symbolic and Quantitative Approaches to Reasoning with Uncertainty (ECSQARU'09), Verona, Lecture Notes in Artificial Intelligence vol. 5590 July 1-3, 2009 Springer Berlin 712 723
27. A. Rico, M. Grabisch, Ch. Labreuche, and A. Chateauneuf Preference modeling on totally ordered sets by the Sugeno integral Discret. Appl. Math. 147 2005 113 124