Decomposing preference relations



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Gómez, D. and Montero, Javier and Yáñez, 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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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
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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
Deposited On:30 Oct 2012 09:02
Last Modified:25 Jun 2018 07:45

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