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

Authors

  • A. Vadivel Department of Mathematics, Annamalai University, Annamalai Nagar, Tamil Nadu 608 002, India
  • B. Vijayalakshmi Department of Mathematics, Annamalai University, Annamalai Nagar, Tamil Nadu 608 002, India
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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Journal title

volume 06  issue 02

pages  125- 134

publication date 2017-04-01

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