Release Time:2022-09-22  Hits:

Date of Publication: 2005-01-01

Journal: 系统工程理论与实践

Institution: 数学科学学院

Issue: 4

Page Number: 83-89

ISSN: 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.

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