Fuzzycγ-open sets and fuzzycγ-continuity in fuzzifying topology

e-Open sets and separation axioms in fuzzifying topology

The concepts of fuzzy e-open sets and fuzzy e-continuous are introduced and studied in fuzzifying topology and by making use of these concepts, we introduce and study T e 0 -, R e 0-, T e 1 -, R e 1-, T e 2 -, T e 3 -, T e 4 -, strong T e 3 and strong T e 4 separation axioms in fuzzifying topology and give some of their characterizations as well as the relations of these axioms and other separa...

FUZZY cγ-OPEN SETS AND FUZZY cγ-CONTINUITY IN FUZZIFYING TOPOLOGY

Decompositions of Continuity via Ζ−open Sets

Al-Hawary [1] introduced and explored the class of ζ−open sets which is strictly weaker than open and proved that the collection of all ζ−open subsets of a space forms a topology that is finer than the original one. In this paper, we introduce what we call ζ−continuity and ζX−continuity and we give several characterizations and two decompositions of ζ−continuity. Finally, new decompositions of ...

On Fuzzy $e$-open Sets, Fuzzy $e$-continuity and Fuzzy $e$-compactness in Intuitionistic Fuzzy Topological Spaces

The purpose of this paper is to introduce and study the concepts of fuzzy $e$-open set, fuzzy $e$-continuity and fuzzy $e$-compactness in intuitionistic fuzzy topological spaces. After giving the fundamental concepts of intuitionistic fuzzy sets and intuitionistic fuzzy topological spaces, we present intuitionistic fuzzy $e$-open sets and intuitionistic fuzzy $e$-continuity and other results re...

On invariant sets topology

In this paper, we introduce and study a new topology related to a self mapping on a nonempty set.Let X be a nonempty set and let f be a self mapping on X. Then the set of all invariant subsets ofX related to f, i.e. f := fA X : f(A) Ag P(X) is a topology on X. Among other things,we nd the smallest open sets contains a point x 2 X. Moreover, we find the relations between fand To f . For insta...