Geodesic
Intuitionistic $I$-fuzzy topological spaces
Czechoslovak Mathematical Journal, Tome 60 (2010) no. 1, pp. 233-252 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

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The main purpose of this paper is to introduce the concept of intuitionistic ${\rm I}$-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 ${\rm I}\omega $, $\iota $ are obtained.
The main purpose of this paper is to introduce the concept of intuitionistic ${\rm I}$-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 ${\rm I}\omega $, $\iota $ are obtained.
Classification : 54A40, 54E15
Keywords: intuitionistic $I$-fuzzy topological space; intuitionistic fuzzy point; intuitionistic $I$-fuzzy quasi-coincident neighborhood space; fuzzifying topology; $I$-fuzzy topology 
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}
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Yan, Cong-hua; Wang, Xiao-ke. Intuitionistic $I$-fuzzy topological spaces. Czechoslovak Mathematical Journal, Tome 60 (2010) no. 1, pp. 233-252. http://geodesic.mathdoc.fr/item/CMJ_2010_60_1_a19/

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