INTEGRATING 3 REPRESENTATION MODELS IN FUZZY MULTIPURPOSE DECISION-MAKING BASED ON FUZZY PREFERENCE RELATIONS

Citation
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
Journal title
ISSN journal
01650114
Volume
97
Issue
1
Year of publication
1998
Pages
33 - 48
Database
ISI
SICI code
0165-0114(1998)97:1<33:I3RMIF>2.0.ZU;2-7
Abstract
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.