Consistency of crisp and fuzzy preference relations

作者: J. L Garcia-Lapestra , Javier Montero

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摘要: In this paper we point out some difficulties in developing rationality measures of fuzzy preference relations, as defined by Cutello and Montero a previous paper. particular, analyze alternative approaches, taking into account that consistency can not be viewed an univoque concept framework, neither the crisp context, where should necessarily represented terms linear orders.

参考文章(23)
George J. Klir, Tina A. Folger, Fuzzy Sets, Uncertainty and Information ,(1988)
Peter C. Fishburn, The theory of social choice ,(1973)
Vincenzo Cutello, Javier Montero, Fuzzy rationality measures Fuzzy Sets and Systems. ,vol. 62, pp. 39- 54 ,(1994) , 10.1016/0165-0114(94)90071-X
Jos� Luis Garc�a-Lapresta, Luis Carlos Meneses, An empirical analysis of transitivity with four scaled preferential judgment modalities Review of Economic Design. ,vol. 8, pp. 335- 346 ,(2003) , 10.1007/S10058-003-0105-Z
S.V. Ovchinnikov, STRUCTURE OF FUZZY BINARY RELATIONS Fuzzy Sets and Systems. ,vol. 6, pp. 169- 195 ,(1981) , 10.1016/0165-0114(81)90023-3
J. Montero, J. Tejada, C. Cutello, A general model for deriving preference structures from data European Journal of Operational Research. ,vol. 98, pp. 98- 110 ,(1997) , 10.1016/0377-2217(95)00324-X
James C. Bezdek, Bonnie Spillman, Richard Spillman, A fuzzy relation space for group decision theory Fuzzy Sets and Systems. ,vol. 1, pp. 255- 268 ,(1978) , 10.1016/0165-0114(78)90017-9
C.R. Barrett, Prasanta K. Pattanaik, Maurice Salles, On the structure of fuzzy social welfare functions Fuzzy Sets and Systems. ,vol. 19, pp. 1- 10 ,(1986) , 10.1016/S0165-0114(86)80072-0
Manabendra Dasgupta, Rajat Deb, Transitivity and fuzzy preferences Social Choice and Welfare. ,vol. 13, pp. 305- 318 ,(1996) , 10.1007/BF00179234
Vincenzo Cutello, Javier Montero, Equivalence and compositions of fuzzy rationality measures Fuzzy Sets and Systems. ,vol. 85, pp. 31- 43 ,(1997) , 10.1016/0165-0114(95)00361-4