Fuzzy $\bigwedge_{e}$ Sets and Continuity in Fuzzy Topological spaces

Subject Areas : History and biography

A. Vadivel ¹ , B. Vijayalakshmi ²

1 - Department of Mathematics, Annamalai University, Annamalai Nagar, Tamil Nadu 608 002, India
2 - Department of Mathematics, Annamalai University, Annamalai Nagar, Tamil Nadu 608 002, India

Received: 2017-04-05 Accepted : 2017-09-03 Published : 2017-04-01

Keywords: fuzzy $bigwedge_e$ set, fuzzy $bigvee_e$ set, fuzzy locally $bigwedge_e$ set, fuzzy $bigwedge_e$ continuity, fuzzy locally $bigwedge_e$ continuity,

Abstract :

We introduce a new class of fuzzy open sets called fuzzy $\bigwedge_e$ sets which includes the class of fuzzy $e$-open sets. We also define a weaker form of fuzzy $\bigwedge_e$ sets termed as fuzzy locally $\bigwedge_e$ sets.By means of these new sets, we present the notions of fuzzy $\bigwedge_e$ continuity and fuzzy locally $\bigwedge_e$ continuity which are weaker than fuzzy $e$-continuity and furthermore we investigate the relationships between these new types of continuity and some others.

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