The Lattice of Intuitionistic Fuzzy Topologies Generated by Intuitionistic Fuzzy Relations

被引：0
|
作者：
Mines, Soheyb [1 ]
机构：
[1] Univ Msila, Lab Pure & Appl Math, Dept Math, Msila, Algeria
来源：
APPLICATIONS AND APPLIED MATHEMATICS-AN INTERNATIONAL JOURNAL | 2020年 / 15卷 / 02期
关键词：
Fuzzy set; Atanassov's intuitionistic fuzzy set; Lattice of topologies; Binary relation; SPACES;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We generalize the notion of fuzzy topology generated by fuzzy relation given by Mishra and Srivastava to the setting of intuitionistic fuzzy sets. Some fundamental properties and necessary examples are given. More specifically, we provide the lattice structure to a family of intuitionistic fuzzy topologies generated by intuitionistic fuzzy relations. To that end, we study necessary structural characteristics such as distributivity, modularity and complementary of this lattice.
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页码：942 / 956
页数：15
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