Normality of double fuzzy topological spaces

σ-Normality of Topological Spaces

Normality of Fuzzy Topological Spaces in Kubiak-šostak’s Sense

The aim of this paper is to study the normality of fuzzy topological spaces in Kubiak-Šostak’s sense. Also, some characterizations and the effects of some types of functions on these types of normality are

σ-normality of topological spaces

(IC)LM-FUZZY TOPOLOGICAL SPACES

The aim of the present paper is to define and study (IC)$LM$-fuzzytopological spaces, a generalization of (weakly) induced $LM$-fuzzytopological spaces. We discuss the basic properties of(IC)$LM$-fuzzy topological spaces, and introduce the notions ofinterior (IC)-fication and exterior (IC)-fication of $LM$-fuzzytopologies and prove that {bf ICLM-FTop} (the category of(IC)$LM$-fuzzy topological ...

$L$-fuzzy approximation spaces and $L$-fuzzy topological spaces

The $L$-fuzzy approximation operator associated with an $L$-fuzzy approximation space $(X,R)$ turns out to be a saturated $L$-fuzzy closure (interior) operator on a set $X$ precisely when the relation $R$ is reflexive and transitive. We investigate the relations between $L$-fuzzy approximation spaces and $L$-(fuzzy) topological spaces.