RT info:eu-repo/semantics/article
T1 Fuzzy strict preference relations compatible with fuzzy orderings
A1 Llamazares Rodríguez, Bonifacio
A1 Baets, Bernard de
K1 Fuzzy ordering
K1 Fuzzy strict preference relation
AB One of the most important issues in the field of fuzzy preference modelling is the construction of a fuzzy strict preference relation and a fuzzy indifference relation from a fuzzy weak preference relation. Here, we focus on a particular class of fuzzy weak preference relations, the so-called fuzzy orderings. The definition of a fuzzy ordering involves a fuzzy equivalence relation and, in this paper, the latter will be considered as the corresponding fuzzy indifference relation. We search for fuzzy strict preference relations compatible with a given fuzzy ordering and its fuzzy indifference relation. In many situations, depending on the t-norm and t-conorm used, this quest results in a unique fuzzy strict preference relation. Our aim is to characterize these fuzzy strict preference relations and to study their transitivity.
PB World Scientific
SN 0218-4885
YR 2010
FD 2010
LK http://uvadoc.uva.es/handle/10324/36230
UL http://uvadoc.uva.es/handle/10324/36230
LA eng
NO International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems, 2010, vol. 18, n. 1, p. 13-24
NO Producción Científica
DS UVaDOC
RD 25-nov-2024