Intuitionistic I-fuzzy topological spaces

被引：0
作者：
Cong-hua Yan
Xiao-ke Wang
机构：
[1] Nanjing Normal University,Institute of Mathematics, School of Math.
来源：
Czechoslovak Mathematical Journal | 2010年 / 60卷
关键词：
intuitionistic ; -fuzzy topological space; intuitionistic fuzzy point; intuitionistic ; -fuzzy quasi-coincident neighborhood space; fuzzifying topology; -fuzzy topology; 54A40; 54E15;
D O I：
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学科分类号：
摘要：
The main purpose of this paper is to introduce the concept of intuitionistic I-fuzzy quasi-coincident neighborhood systems of intuitiostic fuzzy points. The relation between the category of intuitionistic I-fuzzy topological spaces and the category of intuitionistic I-fuzzy quasi-coincident neighborhood spaces are studied. By using fuzzifying topology, the notion of generated intuitionistic I-fuzzy topology is proposed, and the connections among generated intuitionistic I-fuzzy topological spaces, fuzzifying topological spaces and I-fuzzy topological spaces are discussed. Finally, the properties of the operators Iω, ι are obtained.
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页码：233 / 252
页数：19
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