Similarity of fuzzy choice functions

Fuzzy Sets and Systems

Volumn 158, Issue 12, 2007, Pages 1314-1326

  Georgescu, Irina ^a  

^a BUCHAREST UNIVERSITY OF ECONOMIC STUDIES   (Romania)

Author keywords

Fuzzy choice function; Revealed preference; Similarity relation

Indexed keywords

COMPUTATIONAL METHODS; FUNCTION EVALUATION; FUNCTIONS; NUMERICAL METHODS;

FUZZY CHOICE FUNCTIONS; REVEALED PREFERENCES; SIMILARITY RELATIONS;

FUZZY SETS;

EID: 34247351246     PISSN: 01650114     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.fss.2007.01.009     Document Type: Article

References (30)

1. Arrow K.J. Rational choice functions and orderings. Economica 26 (1959) 121-127
2. Banerjee A. Fuzzy choice functions, revealed preference and rationality. Fuzzy Sets and Systems 70 (1995) 31-43
3. Barrett C.R., Pattanaik P.K., and Salles M. On choosing rationally when preferences are fuzzy. Fuzzy Sets and Systems 34 (1990) 197-212
4. Bělohlávek R. Fuzzy Relational Systems, Foundations and Principles (2002), Kluwer, Dordrecht
5. Cai K.Y. δ-Equalities of fuzzy sets. Fuzzy Sets and Systems 76 (1995) 97-112
6. De Baets B., and Fodor J. Twenty years of fuzzy preference relations (1978-1997). Belg. J. Oper. Res. Statist. Comput. Sci. 37 (1997) 61-82
7. B. De Baets, J. Fodor (Eds.), Principles of Fuzzy Preference Modelling and Decision Making, Academia Press, Gent, 2003.
8. De Baets B., Van De Walle B., and Kerre E. Fuzzy preference structures without incomparability. Fuzzy Sets and Systems 76 (1995) 333-348
9. De Baets B., Van De Walle B., and Kerre E. Characterizable fuzzy preference structures. Ann. Oper. Res. 80 (1998) 105-136
10. Dubois D., and Prade H. Fuzzy Sets and Systems, Theory and Applications (1980), Academic Press, New York
11. Fodor J., and Roubens M. Fuzzy Preference Modelling and Multicriteria Decision Support (1994), Kluwer, Dordrecht
12. I. Georgescu, A generalization of the Cai δ-equality of fuzzy sets, Proceedings of the Fuzzy Information Processing Conference, Beijing, China, 1-4 March 2003, pp. 123-127.
13. Georgescu I. On the axioms of revealed preference in fuzzy consumer theory. J. Systems Sci. Systems Eng. 13 (2004) 279-296
14. Georgescu I. Consistency conditions in fuzzy consumers theory. Fund. Inform. 61 (2004) 223-245
15. I. Georgescu, Rational choice and revealed preference: a fuzzy approach, Ph.D. Dissertation 60, Turku Centre for Computer Science, 2005.
16. Hájek P. Methamathematics of Fuzzy Logic (1998), Kluwer, Dordrecht
17. Klement E.P., Mesiar R., and Pap E. Triangular Norms (2000), Kluwer, Dordrecht
18. Kulshreshtha P., and Shekar B. Interrelationship among fuzzy preference-based choice function and significance of rationality conditions: a taxonomic and intuitive perspective. Fuzzy Sets and Systems 109 (2000) 429-445
19. Richter M. Revealed preference theory. Econometrica 34 (1966) 635-645
20. Roubens M. Some properties of choice functions based on valued binary relations. European J. Oper. Res. 40 (1989) 309-321
21. Samuelson P.A. A note of the pure theory of consumer's behavior. Economica 5 (1938) 61-71
22. Sen A.K. Choice functions and revealed preference. Rev. Econom. Stud. 38 (1971) 307-317
23. Suzumura K. Rational choice and revealed preference. Rev. Econom. Stud. 43 (1976) 149-159
24. Trillas E., and Valverde L. An inquiry into indistinguishability operators. In: Skala H.J., Termini S., and Trillas E. (Eds). Aspects of Vagueness (1983), Reidel, Dordrecht
25. Turunen E. Mathematics Behind Fuzzy Logic (1999), Physica-Verlag, Wurzburg
26. Uzawa H. A note on preference and axioms of choice. Ann. Inst. Statist. Math. 8 (1956) 35-40
27. Wang X., De Baets B., and Kerre E.E. A comparative study of similarity measures. Fuzzy Sets and Systems 73 (1995) 259-268
28. de Wilde Ph. Fuzzy utility and equilibria. IEEE Trans. Systems Man Cybernet 34 (2004) 1774-1785
29. Ying M. Perturbations of fuzzy reasoning. IEEE Trans. Fuzzy Systems 7 (1999) 625-629
30. Zadeh L.A. Similarity relations and fuzzy orderings. Inform. Sci. 3 (1971) 177-200