Intuitionistic I-fuzzy topological spaces

被引:0
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作者
Cong-hua Yan
Xiao-ke Wang
机构
[1] Nanjing Normal University,Institute of Mathematics, School of Math.
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关键词
intuitionistic ; -fuzzy topological space; intuitionistic fuzzy point; intuitionistic ; -fuzzy quasi-coincident neighborhood space; fuzzifying topology; -fuzzy topology; 54A40; 54E15;
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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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