F. Chiclana et al., INTEGRATING 3 REPRESENTATION MODELS IN FUZZY MULTIPURPOSE DECISION-MAKING BASED ON FUZZY PREFERENCE RELATIONS, Fuzzy sets and systems, 97(1), 1998, pp. 33-48
Citations number
26
Categorie Soggetti
Statistic & Probability",Mathematics,"Computer Science Theory & Methods","Statistic & Probability",Mathematics,"Computer Science Theory & Methods
The purpose of this paper is to study a fuzzy multipurpose decision ma
king problem, where the information about the alternatives provided by
the experts can be of a diverse nature. The information can be repres
ented by means of preference orderings, utility functions and fuzzy pr
eference relations, and our objective is to establish a general model
which cover all possible representations. Firstly, we must make the in
formation uniform, using fuzzy preference relations as uniform prefere
nce context. Secondly, we present some selection processes for multipl
e preference relations based on the concept of fuzzy majority. Fuzzy m
ajority is represented by a fuzzy quantifier, and applied in the aggre
gation, by means of an OWA operator whose weights are calculated by th
e fuzzy quantifier. We use two quantifier guided choice degrees of alt
ernatives, a dominance degree used to quantify the dominance that one
alternative has over all the others, in a fuzzy majority sense, and a
non dominance degree, that generalises Orlovski's non dominated altern
ative concept. The application of the two above choice degrees can be
carried out according to two different selection processes, a sequenti
al selection process and a conjunction selection process. (C) 1998 Els
evier Science B.V. All rights reserved.