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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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|
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|Deposited On:||30 Oct 2012 10:02|
|Last Modified:||11 Oct 2013 15:26|