On some new forms of cycle-transitivity and their relation to commutative copulas

Proceedings - 4th Conference of the European Society for Fuzzy Logic and Technology and 11th French Days on Fuzzy Logic and Applications, EUSFLAT-LFA 2005 Joint Conference

Volumn , Issue , 2005, Pages 178-182

  De Schuymer, Bart ^a   De Meyer, Hans ^a   De Baets, Bernard ^b  

^a GHENT UNIVERSITY   (Belgium)

^b Dept Appl Math Biom and Pr Control   (Belgium)

Author keywords

Copula; Cycle transitivity; Probabilistic relation; Transitivity

Indexed keywords

COPULA; CYCLE-TRANSITIVITY; NEW FORMS; PROBABILISTIC RELATIONS; RECIPROCAL RELATIONS; STOCHASTIC TRANSITIVITY; T-TRANSITIVITY; TRANSITIVITY; UPPER BOUND;

FUZZY LOGIC;

EID: 34548579508     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: None     Document Type: Conference Paper

References (8)

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3. B. De Baets, H. De Meyer, B. De Schuymer and S. Jenei, "Cyclic evaluation of transitivity of reciprocal relations," Social Choice and Welfare, in press.
4. B. De Schuymer, H. De Meyer and B. De Baets, "Extreme copulas and the comparison of ordered lists," unpublished.
5. B. De Schuymer, H. De Meyer, B. De Baets and S. Jenei, "On the cycle-transitivity of the dice model," Theory and Decision, vol. 54, pp. 261-285, 2003.
6. B. De Schuymer, H. De Meyer and B. De Baets, "Cycle-transitive comparison of independent random variables," Journal of Multivariate Analysis, in press.
7. P.C. Fishburn, "Binary choice probabilities: On the varieties of stochastic transitivity," Journal of Mathematical Psychology, vol. 10, pp. 327-352, 1973.
8. R. Nelsen, An Introduction to Copulas, vol. 139 of Lecture Notes in Statistics, Springer-Verlag, New York, 1998.