Residuated variants of Sugeno integrals: Towards new weighting schemes for qualitative aggregation methods

Information Sciences

Volumn 329, Issue , 2016, Pages 765-781

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

^a UNIVERSITÉ DE TOULOUSE   (France)

^b UNIVERSITÉ LYON 1   (France)

Author keywords

Bipolarity; G del implication; Multicriteria evaluation; Possibility theory; Sugeno integral

Indexed keywords

DEFECTS;

AGGREGATION METHODS; AGGREGATION OPERATION; BIPOLARITY; MULTI-CRITERIA EVALUATION; MULTIPLE CRITERIA; POSITIVE FEATURES; POSSIBILITY THEORY; SUGENO INTEGRALS;

SCALES (WEIGHING INSTRUMENTS);

EID: 84949660214     PISSN: 00200255     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ins.2015.09.034     Document Type: Article

References (42)

1. G. Banon Constructive decomposition of fuzzy measures in terms of possibility and necessity measures Proceedings of VIth IFSA World Congress, São Paulo, Brazil I 1995 217 220
2. J.-F. Bonnefon, D. Dubois, H. Fargier, and S. Leblois Qualitative heuristics for balancing the pros and the cons. Theory Dec. 65 2008 71 95
3. G. Choquet Theory of capacities Ann. l'Instit. Fourier 5 1953 131 295
4. D. Denneberg Non-additive Measure and Integral 1994 Kluwer Academic Publ. Dordrecht
5. D. Dubois Fuzzy measures on finite scales as families of possibility measures Proceedings of EUSFLAT-LFA Conference, Aix-Les-Bains, France 2011 822 829
6. D. Dubois, and H. Fargier Qualitative bipolar decision rules: toward more expressive settings S. Greco, Preferences and Decisions, STUDFUZZ 257 2010 Springer Berlin 139 158
7. D. Dubois, H. Fargier, and J.-F. Bonnefon On the qualitative comparison of decisions having positive and negative features J. Artif. Intell. Res. 32 2008 385 417
8. D. Dubois, H. Fargier, and H. Prade Possibility theory in constraint satisfaction problems: handling priority, preference and uncertainty Appl. Intell. 6 1996 287 309
9. D. Dubois, and H. Prade Fuzzy Sets and Systems: Theory and Applications Mathematics in Science and Engineering Series 144 1980 Academic Press New York
10. D. Dubois, and H. Prade A theorem on implication functions defined from triangular norms Stochastica 8 1984 267 279
11. D. Dubois, and H. Prade Weighted minimum and maximum operations Inf. Sci. 39 1986 205 210
12. D. Dubois, and H. Prade Possibility Theory 1988 Plenum New York
13. D. Dubois, and H. Prade Aggregation of possibility measures J. Kacprzyk, M. Fedrizzi, Multiperson Decision Making Using Fuzzy Sets and Possibility Theory 1990 Kluwer Dordrecht 55 63
14. D. Dubois, and H. Prade Possibility theory as a basis for preference propagation in automated reasoning Proceedings of the First IEEE International Conference on Fuzzy Systems (FUZZ-IEEE'92), San Diego, CA, March 8-12 1992 821 832
15. D. Dubois, and H. Prade Fuzzy rules in knowledge-based systems. Modelling gradedness, uncertainty and preference R.R. Yager, L.A. Zadeh, An Introduction to Fuzzy Logic Applications in Intelligent Systems 1992 Kluwer Academic 45 68
16. D. Dubois, and H. Prade Semantics of quotient operators in fuzzy relational databases Fuzzy Sets Syst. 78 1996 89 93
17. D. Dubois, and H. Prade Qualitative possibility functions and integrals E. Pap, Handbook of Measure Theory 2 2002 Elsevier 1469 1521
18. D. Dubois, H. Prade, and A. Rico Qualitative integrals and desintegrals: how to handle positive and negative scales in evaluation S. Greco, Proceedings of IPMU 2012, Part III, CCIS 299 2012 Springer-Verlag Berlin, Heidelberg 306 316
19. D. Dubois, H. Prade, and A. Rico Qualitative integrals and desintegrals - towards a logical view Proceedings of Ninth International Conference on Modeling Decisions for Artificial Intelligence (MDAI'12), Girona, November 21-23, LNCS 2012 Springer Verlag 127 138
20. D. Dubois, H. Prade, and A. Rico Qualitative capacities as imprecise possibilities L. Van der Gaag, Symbolic and Quantitative Approaches to Reasoning with Uncertainty (ECSQARU 2013) Lecture Notes in Computer Science 7958 2013 Springer 169 180
21. D. Dubois, H. Prade, and A. Rico Representing qualitative capacities as families of possibility measures Int. J. Approx. Reason. 58 2015 3 24
22. D. Dubois, H. Prade, A. Rico, and B. Teheux Characterizing variants of qualitative Sugeno integrals in a totally ordered Heyting algebra Proceedings of 16th World Congress of the International Fuzzy System Association (IFSA) and Ninth Conference of the European Society for Fuzzy Logic and Technology (EUSFLAT) 2015 Atlantis Press 865 872
23. D. Dubois, H. Prade, and R. Sabbadin Qualitative decision theory with Sugeno integrals M. Grabisch, T. Murofushi, M. Sugeno, Fuzzy Measures and Integrals - Theory and Applications 2000 Physica Verlag Heidelberg 314 322
24. A. Dvořák, and M. Holčapek Fuzzy integrals over complete residuated lattices J. Carvalho, D. Dubois, U. Kaymak, J. da Costa Sousa, Proceedings of Joint ISFA-EUSFLAT Conference, Lisbon 2009 357 362
25. A. Dvořák, and M. Holčapek Fuzzy measures and integrals defined on algebras of fuzzy subsets over complete residuated lattices Inf. Sci. 185 1 2012 205 229
26. J. Fodor On fuzzy implication operators Fuzzy Sets Syst. 42 3 1991 293 300
27. M. Grabisch The application of fuzzy integrals in multicriteria decision making Eur. J. Oper. Res. 89 3 1996 445 456
28. M. Grabisch The symmetric Sugeno integral Fuzzy Sets Syst. 139 2003 473 490
29. M. Grabisch The Moebius transform on symmetric ordered structures and its application to capacities on finite sets Discrete Math. 287 2004 17 34
30. M. Grabisch, and Ch. Labreuche A decade of application of the Choquet and Sugeno integrals in multi-criteria decision aid Ann. Oper. Res. 175 2010 247 286
31. M. Grabisch, T. Murofushi, and M. Sugeno Fuzzy measure of fuzzy events defined by fuzzy integrals Fuzzy Sets Syst. 50 3 1992 293 313
32. A. Imoussaten, J. Montmain, A. Rico, and F. Rico A dynamical model for simulating a debate outcome Proceedings ICAART 1 2011 31 40
33. E.P. Klement, R. Mesiar, and E. Pap A universal integral as common frame for Choquet and Sugeno integral IEEE Trans. Fuzzy Syst. 18 2010 178 187
34. J.-L. Marichal Aggregation Operations for Multicriteria Decision Aid 1998 University of Liège, Belgium Ph.D. thesis
35. J.-L. Marichal On Sugeno integrals as an aggregation function Fuzzy Sets Syst. 114 3 2000 347 365
36. P. Perny, and B. Roy The use of fuzzy outranking relations in preference modelling Fuzzy Sets Syst. 49 1 1992 33 53
37. D. Schmeidler Cores of exact games J. Math. Anal. Appl. 40 1 1972 214 225
38. M. Sugeno Theory of Fuzzy Integrals and Its Applications 1974 Tokyo Institute of Technology, Tokyo Ph.D. thesis
39. 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 89 102
40. R.R. Yager Possibilistic decision making IEEE Trans. Syst. Man Cybern. 9 1979 388 392
41. R.R. Yager A note on weighted queries in information retrieval systems J. Am. Soc. Inf. Sci. 38 1987 23 24
42. L.A. Zadeh Fuzzy sets as a basis for a theory of possibility Fuzzy Sets Syst. 1 1978 3 28