RT Journal Article
T1 Searching for the dimension of valued preference relations
A1 González Pachón, J.
A1 Gómez González, Daniel
A1 Montero De Juan, Francisco Javier
A1 Yáñez Gestoso, Francisco Javier
AB The more information a preference structure gives, the more sophisticated representation techniques are necessary, so decision makers can have a global view of data and therefore a comprehensive understanding of the problem they are faced with. In this paper we propose to explore valued preference relations by means of a search for the number of underlying criteria allowing its representation in real space. A general representation theorem for arbitrary crisp binary relations is obtained, showing the difference in representation between incomparability-related to the intersection operator-and other inconsistencies-related to the union operator. A new concept of dimension is therefore proposed, taking into account inconsistencies in source of information. Such a result is then applied to each alpha-cut of valued preference relations. (C) 2002 Elsevier Science Inc. All rights reserved.
PB Elsevier Science INC
SN 0888-613X
YR 2003
FD 2003
LK https://hdl.handle.net/20.500.14352/57598
UL https://hdl.handle.net/20.500.14352/57598
LA eng
NO González-Pachón, J., Gómez, D., Montero, J., Yáñez, J.: Searching for the dimension of valued preference relations. International Journal of Approximate Reasoning. 33, 133-157 (2003). https://doi.org/10.1016/S0888-613X(02)00150-0
DS Docta Complutense
RD 16 abr 2025