Kybernetika 58 no. 5, 779-789, 2022

Characterization of fuzzy order relation by fuzzy cone

Masamichi KonDOI: 10.14736/kyb-2022-5-0779

Abstract:

In the present paper, fuzzy order relations on a real vector space are characterized by fuzzy cones. It is well-known that there is one-to-one correspondence between order relations, that a real vector space with the order relation is an ordered vector space, and pointed convex cones. We show that there is one-to-one correspondence between fuzzy order relations with some properties, which are fuzzification of the order relations, and fuzzy pointed convex cones, which are fuzzification of the pointed convex cones.

Keywords:

fuzzy order relation, fuzzy cone

Classification:

03E72, 18B35

paper.pdf

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