2026-07-23T00:55:58Zhttps://docta.ucm.es/rest/oai/request

oai:docta.ucm.es:20.500.14352/531632024-11-25T16:31:36Zcom_20.500.14352_14col_20.500.14352_21

Gómez González, Daniel Montero De Juan, Francisco Javier Yáñez Gestoso, Francisco Javier 2023-06-20T13:38:31Z 2023-06-20T13:38:31Z 2007 978-1-4244-1209-9 https://hdl.handle.net/20.500.14352/53163 https://ieeexplore.ieee.org/document/4295546/ http://ieeexplore.ieee.org 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. eng restricted access Decomposing preference relations book part