Тип публикации: статья из журнала
Год издания: 1995
Ключевые слова: Weak orders, Quasi orders, Quasi-transitive relations, Pareto principle
Аннотация: The paper is concerned with the theory of weak orders, quasi orders, and quasi-transitive relations in the framework of group choice in a fuzzy 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 Показать полностьюif and only if it is an intersection of fuzzy weak orders. In addition, it is a fuzzy quasi-transitive relation if and only if it is a union of fuzzy weak orders.
Журнал: Fuzzy Sets and Systems
Выпуск журнала: Т. 72, № 2
Номера страниц: 135-145
ISSN журнала: 01650114
Издатель: Elsevier Science Publishing Company, Inc.