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Chandrasekar, V., Parimala, S. Fuzzy $e$-regular spaces and strongly $e$-irresolute mappings. Sahand Communications in Mathematical Analysis, 2017; (): -.

Fuzzy $e$-regular spaces and strongly $e$-irresolute mappings

Articles in Press, Accepted Manuscript , Available Online from 22 October 2017

^{1}Department of Mathematics, Kandaswami Kandar's College, P-velur-638 182, Tamil Nadu, India.

^{2}Research Scholar (Part Time), Department of Mathematics, Kandaswami Kandar's College, P-velur-638 182, Tamil Nadu, India.

Abstract

The aim of this paper is to introduce fuzzy ($e$, almost) $e^{*}$-regular spaces in $\check{S}$ostak's fuzzy topological spaces. Using the $r$-fuzzy $e$-closed sets, we define $r$-($r$-$\theta$-, $r$-$e\theta$-) $e$-cluster points and their properties. Moreover, we investigate the relations among $r$-($r$-$\theta$-, $r$-$e\theta$-) $e$-cluster points, $r$-fuzzy ($e$, almost) $e^{*}$-regular spaces and their functions.