Applications of fuzzy $e$-open sets

Subject Areas : History and biography

A. Vadivel ¹ , B. Vijayalakshmi ²

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

Received: 2017-03-23 Accepted : 2017-12-12 Published : 2018-03-01

Keywords: Fuzzy $e$-open sets, fuzzy lower $e$-limit set, fuzzy upper $e$-limit set, fuzzy $e$-continuously convergent functions,

Abstract :

The aim of this paper is to introduce and study the notions of fuzzy upper $e$-limit set, fuzzy lower $e$-limit set and fuzzy $e$-continuously convergent functions. Properties and basic relationships among fuzzy upper $e$-limit set, fuzzy lower $e$- limit set and fuzzy $e$-continuity are investigated via fuzzy $e$-open sets.

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