CHARACTERIZATION OF FUZZY ORDER RELATION BY FUZZY CONE

被引：1

作者：

Kon, Masamichi ^{[1
]}

机构：

[1] Hirosaki Univ, Grad Sch Sci & Technol, 3 Bunkyo, Hirosaki, Aomori 0368561, Japan

来源：

KYBERNETIKA | 2022年 / 58卷 / 05期

关键词：

fuzzy order relation; fuzzy cone;

D O I：

10.14736/kyb-2022-5-0779

中图分类号：

TP3 [计算技术、计算机技术];

学科分类号：

0812 ;

摘要：

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.

引用

页码：779 / 789

页数：11

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