RT Journal Article
T1 Crisp dimension theory and valued preference relations
A1 Gómez González, Daniel
A1 Montero De Juan, Francisco Javier
A1 Yáñez Gestoso, Francisco Javier
A1 González Pachón, J.
A1 Cutello, Vincenzo
AB 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.
PB Taylor & Francis LTD
SN 0308-1079
YR 2004
FD 2004
LK https://hdl.handle.net/20.500.14352/50138
UL https://hdl.handle.net/20.500.14352/50138
LA eng
NO Gómez, D., Montero, J., Yáñez, J., González-Pachón, J., Cutello, V.: Crisp dimension theory and valued preference relations. International Journal of General Systems. 33, 115-131 (2004). https://doi.org/10.1080/03081070310001633491
DS Docta Complutense
RD 8 abr 2025