Gómez, D. and Montero, 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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Official URL: http://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=4295546

## 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 |
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Additional Information: | IEEE International Conference on Fuzzy Systems |

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: | 19 Apr 2016 14:42 |

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