T-similarity of fuzzy relations and related algebraic structures

被引：27

作者：

Li, Zhaowen ^{[1
]}

Cui, Rongchen ^{[1
]}

机构：

[1] Guangxi Univ Nationalities, Coll Sci, Nanning 530006, Guangxi, Peoples R China

来源：

FUZZY SETS AND SYSTEMS | 2015年 / 275卷

基金：

中国国家自然科学基金;

关键词：

Fuzzy relation; T-similarity; Fuzzy topology; Fuzzy approximation space; T-fuzzy rough approximation operator; Algebraic structure; TOPOLOGICAL PROPERTIES; ROUGH SETS; SPACES;

D O I：

10.1016/j.fss.2014.11.011

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 ;

摘要：

In this paper, we show that fuzzy Alexandrov topologies can be induced by fuzzy relations. The concept of T-similarity of fuzzy relations is introduced. Variations of the same fuzzy relation are investigated. The fact that every fuzzy relation is solely T-similar to some T-preorder fuzzy relation is proved. A characteristic condition for fuzzy relations to be T-transitive is established. These results illustrate that fuzzy relations can be studied by means of topology. Moreover, algebraic structures based on T-similarity of fuzzy relations are obtained. (C) 2014 Elsevier B.V. All rights reserved.

引用

页码：130 / 143

页数：14

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