Compactness in intuitionistic fuzzy topological spaces

Abstract

We introduce fuzzy almost continuous mapping, fuzzy weakly continuous mapping, fuzzy compactness, fuzzy almost compactness, and fuzzy near compactness in intuitionistic fuzzy topological space in view of the definition of Ã…Â ostak, and study some of their properties. Also, we investigate the behavior of fuzzy compactness under several types of fuzzy continuous mappings

On Q-Compactness in Intuitionistic Fuzzy Topological Spaces

“…Definition (Coker 1997 Definition (Ramadan et al 2005): Let ( , ) be an IFTS and A be an IFS in X. A is said to be ( , )-intuitionistic fuzzy compact if and only if every family…”

“…A finite subfamily of the fuzzy open cover {〈 , , 〉: ∈ } of A, which is also a fuzzy open cover of A, is called a finite subcover of {〈 , , 〉: ∈ }. (b) An IFS = 〈 , , 〉 in an IFTS ( , ) is called fuzzy compact iff every fuzzy open cover of A has a finite subcover.Definition(Ramadan et al 2005): An IFTS ( , ) is called ( , )-intuitionistic fuzzy compact (resp., ( , )-intuitionistic fuzzy nearly compact and ( , )-intuitionistic fuzzy almost compact) if and only if for every family { : ∈ } in { : ∈ , ( ) > 〈 , 〉} such that ⋃…”

Certain algebraic structures associated with a double fuzzy topological space

“…Also, they presented the notions of (p, q)-fuzzy open set, (p, q)-fuzzy closed set, closure operator and interior operator in mated fuzzy topological spaces. Again, in 2005, Ramadan et al [4] ushered in the concept of (p, q)-regular fuzzy open sets and (p, q)-regular fuzzy closed sets in intuitionistic fuzzy topological spaces.…”

Interval-Valued Intuitionistic Smooth Topological Spaces

“…In [11], we defined interval-valued intuitionistic smooth topological spaces. Ramadan, Abbas and Abd ElLatif [13] introduced the concepts of several types of fuzzy continuous mappings and several types of fuzzy compactness in intuitionistic fuzzy topological spaces.…”