Consistency in preference modelling
作者： José Luis García-Lapresta , Javier Montero
DOI: 10.1016/B978-044452075-3/50008-X
关键词: Consistency (statistics) 、 Artificial intelligence 、 Fuzzy logic 、 Mathematical optimization 、 Preference (economics) 、 Mathematics 、 Coherence (statistics) 、 Rationality 、 Context (language use) 、 Transitive relation 、 Measure (mathematics)
摘要: Coherence in preference modelling has been introduced standard decision making frameworks, taking many different formulations each context, as a need order to assure consistent procedures. In the classical crisp preferences use be assumed transitive behavior. fuzzy framework, assumption is condition of max-min transitivity; alternatively, consistency understood by Cutello-Montero rationality measure, therefore allowing degrees performance. this paper we stress that, neither nor case, should not be necessarily associated with underlying linear orders.
sci-hub.st 参考文章(31)
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
A. SANCHO-ROYO, J. L. VERDEGAY, ON THE DEFINITION OF COHERENCE MEASURE FOR FUZZY SETS International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems. ,vol. 12, pp. 129- 144 ,(2004) , 10.1142/S0218488504002734
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
L.A. Zadeh, Similarity relations and fuzzy orderings Information Sciences. ,vol. 3, pp. 177- 200 ,(1971) , 10.1016/S0020-0255(71)80005-1
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