ON AGGREGATION OF T-TRANSITIVE FUZZY BINARY RELATIONS

Authors
FODOR JC OVCHINNIKOV S
Citation
Jc. Fodor et S. Ovchinnikov, ON AGGREGATION OF T-TRANSITIVE FUZZY BINARY RELATIONS, Fuzzy sets and systems, 72(2), 1995, pp. 135-145
Citations number
17
Categorie Soggetti
Computer Sciences, Special Topics","System Science",Mathematics,"Statistic & Probability",Mathematics,"Computer Science Theory & Methods
Journal title
Fuzzy sets and systems → ACNP
ISSN journal
01650114
Volume
72
Issue
2
Year of publication
1995
Pages
135 - 145
Database
ISI
SICI code
0165-0114(1995)72:2<135:OAOTFB>2.0.ZU;2-O
Abstract
The paper is concerned with the theory of weak orders, quasi orders, a nd quasi-transitive relations in the framework of group choice in a fu zzy environment. We characterize completely two extreme cases of group choice rules satisfying the Pareto principle. In particular, we prove that a fuzzy binary relation is a fuzzy quasi order if and only if it is an intersection of fuzzy weak orders. In addition, it is a fuzzy q uasi-transitive relation if and only if it is a union of fuzzy weak or ders.