Hits:

Date of Publication:2005-01-01

Journal:系统工程理论与实践

Affiliation of Author(s):数学科学学院

Issue:4

Page Number:83-89

ISSN No.:1000-6788

Abstract:In this paper, we present two approaches to define convex fuzzy cone. First, by the use of the relations between fuzzy points and fuzzy subsets, definitions of (β̄, ᾱ)-convex fuzzy cones are given. We have shown that the acceptable non-trivial concepts obtained in this manner are the (ε, ε)-convex fuzzy cone, (ε, ε V q)-convex fuzzy cone and (ε̄, ε̄, V q̄-convex fuzzy cone. Second, based on the theory of a consensus space presented by Hisakichi Suzuki, concept of C-convex fuzzy cone is acquired. It is pointed that (ε, ε)-convex fuzzy cone is C-convex fuzzy cone and C-convex fuzzy cone is convex fuzzy cone defined on a t-norm. Finally, it is proved that C-convex fuzzy cone is isomorphic to C-convex fuzzy cone generated by a cone S.

Note:新增回溯数据