Complutense University Library

Some problems on the definition of fuzzy preference relations

Montero de Juan, Francisco Javier and Tejada Cazorla, Juan Antonio (1986) Some problems on the definition of fuzzy preference relations. Fuzzy Sets and Systems, 20 (1). pp. 45-53. ISSN 0165-0114

Official URL: http://www.sciencedirect.com/science/article/pii/S0165011486800306

View download statistics for this eprint

==>>> Export to other formats

Abstract

The decision-making problems under fuzzy preference relations and over a deterministic set of alternatives is considered. The main goals of the paper are to find a max-min transitive relation approximating given initial fuzzy preferences, and to define an extension of the initial preference relation from the set of alternatives to the class of lotteries.


Item Type:Article
Uncontrolled Keywords:Nondominated alternatives; decision-making; fuzzy preference relations; max-min transitive relation; lotteries
Subjects:Sciences > Mathematics > Mathematical statistics
ID Code:15999
References:

Basu, K., Fuzzy revealed preference theory. J. Econom. Theory. v32. 212-227.

Bezdek, J.C. and Harris, J.D., Fuzzy partitions and relations: an axiomatic basis for clustering. Fuzzy Sets and Systems. v1. 111-117.

Dubois, D. and Prade, H., Fuzzy Sets and Systems. 1980. Academic Press, New York.

Hiroshi Hashimoto, Convergence of powers of a fuzzy transitive matrix, Fuzzy Sets and Systems, v.9 n.1-3, p.153-160, January, 1983 [doi>10.1016/S0165-0114(83)80015-3]

Orlovsky, S.A., Decision-making with a fuzzy preference relation. Fuzzy Sets and Systems. v1. 155-167.

Orlovsky, S.A., On formalization of a general fuzzy mathematical problem. Fuzzy Sets and Systems. v3. 311-321.

Parthasathy, T. and Raghavan, T.E.S., Some Topics in Two-Person Games. 1971. Elsevier, New York.

Simon, H., Models of Man. 1954. Wiley, New York.

Theil, H. and van de Panne, C., Quadratic programming as an extension of classical quadratic maximization. Management Sci. v7. 1-20.

Thomason, M.G., Convergence of powers of a fuzzy matrix. Math. Anal. Appl. v57. 476-480.

L. A. Zadeh, Similarity relations and fuzzy orderings, Information Sciences: an International Journal, v.3 n.2, p.177-200, April, 1971 [doi>10.1016/S0020-0255(71)80005-1]

Deposited On:18 Jul 2012 11:50
Last Modified:18 Jul 2012 11:50

Repository Staff Only: item control page