Gomez, D. and Montero de Juan, Francisco Javier and Yañez Gestoso, Javier and González-Pachón, J. and Cutello, V. (2004) Crisp dimension theory and valued preference relations. International Journal of General Systems, 33 (2-3). pp. 115-131. ISSN 0308-1079
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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.
|Uncontrolled Keywords:||Valued preference relations; Dimension theory; Preference representation; Generalized dimension function|
|Subjects:||Sciences > Computer science > Artificial intelligence|
Sciences > Mathematics > Operations research
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|Deposited On:||11 Oct 2012 11:29|
|Last Modified:||11 Oct 2012 11:29|
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