Cyclic evaluation of transitivity of reciprocal relations

Social Choice and Welfare

Volumn 26, Issue 2, 2006, Pages 217-238

  De Baets, B ^a   De Meyer, H ^a   De Schuymer, B ^a   Jenei, S ^b  

^a GHENT UNIVERSITY   (Belgium)

^b UNIVERSITY OF PÉCS   (Hungary)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 33745839339     PISSN: 01761714     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00355-006-0093-3     Document Type: Article

References (30)

1. Alsina C, Nelsen R, Schweizer B (1993) On the characterization of a class of binary operations on distribution functions. Stat Probab Lett 17:85-89
2. Basu K (1984) Fuzzy revealed preference theory. J Econ Theory 32:212-227
3. Bodenhofer U (2003) Representations and constructions of similarity-based fuzzy orderings. Fuzzy Sets Syst 137:113-136
4. Chiclana F, Herrera F, Herrera-Viedma E Integrating three representation models in fuzzy multipurpose decision making based on fuzzy preference relations. Fuzzy Sets Syst 97:33-48
5. Dasgupta M, Deb R (1991) Fuzzy choice functions. Soc Choice Welfare 8:171-182
6. Dasgupta M, Deb R (1996) Transitivity and fuzzy preferences. Soc Choice Welfare 13:305-318
7. David H (1963) The method of paired comparisons, Griffin's statistical monographs & courses. vol 12. Charles Griffin., London
8. De Baets B, Fodor J (1997) Twenty years of fuzzy preference structures (1978-1997). Riv Mat Sci Econ Soc. 20:45-66
9. De Baets B, Van de Walle B, Kerre E (1995) Fuzzy preference structures without incomparability. Fuzzy Sets Syst 76:333-348
10. Doignon J-P, Monjardet B, Roubens M, Vincke Ph (1986) Biorder families, valued relations, and preference modelling. J Math Psychol 30:435-480
11. Dutta B, Laslier JF (1999) Comparison functions and choice correspondences, Soc. Choice Welfare 16:513-532
12. Fishburn P (1973) Binary choice probabilities: on the varieties of stochastic transitivity. J Math Psych 10:327-352
13. Fodor J, Roubens M (1994) Fuzzy preference modelling and multicriteria decision support. Kluwer Academic, Newyork
14. Frank M (1979) On the simultaneous associativity of F(x, y) and x + y - F(x, y). Aequationes Math 19:194-226
15. García-Lapresta J, Llamazares B (2000) Aggregation of fuzzy preferences: some rules of the mean. Soc Choice Welfare 17:673-690
16. García-Lapresta J, Llamazares B (2001) Majority decisions based on difference of votes. J Math Econ 35:463-481
17. Genest C, Molina J, Lallena J, Sempi C A characterization of quasi-copulas. J Multivariate Anal 69:193-205
18. Kacprzyk J, Fedrizzi M, Nurmi H (1992) Group decision making and consensus under fuzzy preferences and fuzzy majority. Fuzzy Sets Syst 49:21-31
19. Kacprzyk J, Nurmi H, Fedrizzi M (eds) (1996) Consensus under fuzziness. Kluwer Academic, Boston
20. Klement E, Mesiar R, Pap E (2000) Triangular norms. Trends in logic, studia logica library, vol 8. Kluwer Academic.
21. Klement E, Mesiar R, Pap E (2002) Invariant copulas. Kybernetika 38:275-285
22. Lahiri S Axiomatic characterizations of threshold choice functions for comparison functions. Fuzzy Sets Syst 132:77-82
23. Monjardet B (1988) A generalisation of probabilistic consistency: linearity conditions for valued preference relations. In:Kacprzy J, Roubens M (eds) Non-conventional preference relations in decision making. Lecture notes in economics and mathematical systems, vol. 301, Springer, Berlin Heidelberg Newyork
24. Nelsen R (1998) An introduction to copulas. Lecture notes in statistics, vol. 139. Springer, Berlin Heidelberg Newyork
25. Nurmi H (1987) Comparing voting systems. Reidel, Dordrecht
26. Roberts F (1971) Homogeneous families of semiorders and the theory of probabilistic consistency. J Math Psych 8:248-263
27. Saminger S. Mesiar R, Bodenhofer U (2002) Domination of aggregation operators and preservation of transitivity. Int J Uncertain Fuzziness Knowledge-based Syst 10:11-35
28. Schweizer B, Sklar A (1983) Probabilistic metric spaces. North-Holland
29. Tanino T (1988) Fuzzy preference relations in group decision making, in: Kacprzyk J, Roubens M (eds) Non-conventional preference relations in decision making ,Lecture notes in economics and mathematical systems, vol. 301. Springer, Berlin Heidelberg New York, pp 54-71
30. Van de Walle B, De Baets B, Kerre E(1998) Characterizable fuzzy preference structures. Ann. Oper. Res. (eds) In: Bouyssou D. Vincke P, 80:105-136. Special issue