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oai:docta.ucm.es:20.500.14352/531632024-11-25T16:31:36Zcom_20.500.14352_14col_20.500.14352_21

Decomposing preference relations Gómez González, Daniel Montero De Juan, Francisco Javier Yáñez Gestoso, Francisco Javier 510.64 Fuzzy rationality measures Dimension Lógica simbólica y matemática (Matemáticas) 1102.14 Lógica Simbólica IEEE International Conference on Fuzzy Systems JUL 23-26, 2007 In this paper we address the problem of inconsistency in preference relations, pointing out the relevance of a meaningful representation in order to help decision maker to capture such inconsistencies. Dimension theory framework, despite its computational complexity, is considered here, pursuing in principle a decomposition of arbitrary preference relations in terms of linear orderings of alternatives. But we shall then stress that consistency should not be necessarily associated to a linear ordering. In this way, alternative decompositions of a preference relation can be proposed to decision maker, allowing an effective search for a useful representations of alternatives in terms of possible criteria. Such decompositions of our preference relations will then become the basis of a future decision aid model, always with the restricted aim of allowing the decision maker a better understanding of the problem. Inconsistencies may be not simply suppressed but understood, since they may contain relevant information. Depto. de Estadística e Investigación Operativa Fac. de Ciencias Matemáticas TRUE pub 2023-06-20T13:38:31Z 2023-06-20T13:38:31Z 2007 book part https://hdl.handle.net/20.500.14352/53163 XXXX-XXXX eng IEE monograph series TIN2006-06290. restricted access application/pdf IEEE,electron devices soc &reliability group