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Keywords:
intuitionistic $I$-fuzzy topological space; intuitionistic fuzzy point; intuitionistic $I$-fuzzy quasi-coincident neighborhood space; fuzzifying topology; $I$-fuzzy topology
intuitionistic $I$-fuzzy topological space; intuitionistic fuzzy point; intuitionistic $I$-fuzzy quasi-coincident neighborhood space; fuzzifying topology; $I$-fuzzy topology
Summary:
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.
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