Abstract
We define -quasi-, -sub-, - and - spaces in an intuitionistic fuzzy topological space and investigate some properties of these spaces and the relationships between them. Moreover, we study properties of subspaces and their products.
Highlights
Introduction and preliminariesKubiak 1 and Sostak 2 introduced thefundamental concept of a fuzzytopological structure, as an extension of bothcrisp topology and fuzzy topology 3, in the sensethat the objectsare fuzzified, and the axiomatics
As a generalization of fuzzy sets, the notion of intuitionisticfuzzy sets was introduced by Atanassov 11
Mondal and Samanta 14 introduced the notion of intuitionistic gradation of openness of fuzzy sets, where to each fuzzy subset there is a definite grade of openness and there is a grade of nonopenness
Summary
S -quasi-T0, r, s -sub-T0, r, s -T0 and r, s -T1 spaces in an intuitionistic fuzzy topological space and investigate some properties of these spaces and the relationships between them. We study properties of subspaces and their products.
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