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Decomposing preference relations

Gómez, D. and Montero de Juan, Francisco Javier and Yañez Gestoso, Francisco Javier (2007) Decomposing preference relations. In 2007 IEEE international conference on fuzzy systems. IEE monograph series , 1-4 . IEEE,electron devices soc &reliability group, London, England, pp. 1256-1260. ISBN 978-1-4244-1209-9

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Abstract

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.

Item Type:Book Section
Additional Information:IEEE International Conference on Fuzzy Systems JUL 23-26, 2007
Uncontrolled Keywords:Fuzzy rationality measures; Dimension
Subjects:Sciences > Mathematics > Logic, Symbolic and mathematical
ID Code:16934
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Deposited On:30 Oct 2012 09:02
Last Modified:07 Feb 2014 09:38

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