Characterization of fuzzy preference structures through Łukasiewicz triplets

Fuzzy Sets and Systems

Volumn 136, Issue 2, 2003, Pages 217-235

  Llamazares, Bonifacio ^a  

^a UNIVERSITY OF VALLADOLID   (Spain)

Author keywords

ukasiewicz triplets; Fuzzy preference structures; Fuzzy relations; Reciprocal order automorphisms

Indexed keywords

INTELLIGENT AGENTS; MATHEMATICAL MODELS; SET THEORY;

FUZZY RELATIONS;

FUZZY SETS;

EID: 0037882328     PISSN: 01650114     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0165-0114(02)00386-X     Document Type: Article

References (22)

1. Alsina C. On a family of connectives for fuzzy sets. Fuzzy Sets and Systems. 16:1985;231-235.
2. Barrett C.R., Pattanaik P.K. Fuzzy sets, preference and choice. some conceptual issues Bull. Econom. Res. 41:1989;229-253.
3. Bufardi A. On the construction of fuzzy preference structures. J. Multi-Criteria Decision Anal. 7:1998;169-175.
4. Bufardi A. On the fuzzification of the classical definition of preference structure. Fuzzy Sets and Systems. 104:1999;323-332.
5. De Baets B., Fodor J. Twenty years of fuzzy preference structures (1978-1997). Riv. Mat. Sci. Econom. Soc. 20:1997;45-66.
6. B. De Baets, B. Van de Walle, Minimal definitions of classical and fuzzy preference structures, in: Proc. Annu. Meeting of the North American Fuzzy Information Processing Society, Syracuse, 1997, pp. 299-304.
7. De Baets B., Van de Walle B., Kerre E. Fuzzy preference structures and their characterization. J. Fuzzy Math. 3:1995;373-381.
8. Fodor J. Strict preference relations based on weak t-norms. Fuzzy Sets and Systems. 43:1991;327-336.
9. Fodor J. An axiomatic approach to fuzzy preference modelling. Fuzzy Sets and Systems. 52:1992;47-52.
10. Fodor J., Roubens M. Fuzzy preference modelling. an overview Ann. Univ. Sci. Budapest, Sect. Comput. 12:1991;93-100.
11. Fodor J., Roubens M. Valued preference structures. European J. Oper. Res. 79:1994;277-286.
12. Fodor J., Roubens M. Fuzzy Preference Modelling and Multicriteria Decision Support. 1994;Kluwer Academic Publishers, Dordrecht.
13. García-Lapresta J.L., Llamazares B. Aggregation of fuzzy preferences. some rules of the mean Soc. Choice Welfare. 17:2000;673-690.
14. Ovchinnikov S., Roubens M. On strict preference relations. Fuzzy Sets and Systems. 43:1991;319-326.
15. Ovchinnikov S., Roubens M. On fuzzy strict preference, indifference, and incomparability relations. Fuzzy Sets and Systems. 49:1992;15-20.
16. Perny P., Roubens M. Fuzzy preference modeling. Słowiński R. Fuzzy Sets in Decision Analysis, Operations Research and Statistics. 1998;3-30 Kluwer Academic Publishers, Dordrecht.
17. Roubens M., Vincke P. Preference Modeling. Lecture Notes in Economics and Mathematical Systems. Vol. 250:1985;Springer, Berlin.
18. Ruspini E.H. A new approach to clustering. Inform. and Control. 15:1969;22-32.
19. Schweizer B., Sklar A. Probabilistic Metric Spaces. 1983;Elsevier Science, New York.
20. Trillas E. Sobre funciones de negación en la teoría de conjuntos difusos. Stochastica. 3:1979;47-59.
21. Van de Walle B., De Baets B., Kerre E. A plea for the use of Łukasiewicz triplets in the definition of fuzzy preference structures. (I) General argumentation, Fuzzy Sets and Systems. 97:1998;349-359.
22. B. Van de Walle, B. De Baets, E. Kerre, Characterizable fuzzy preference structures, in: D. Bouyssou, P. Vincke, (Eds.), Annals of Operations Research, Vol. 80, Special Issue Preference Modeling, Baltzer Science Publishers, Bussum, 1998, pp. 105-136.