Document Type : Research Paper
Authors
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.
Keywords
- Fuzzy topology
- $r$-fuzzy $e$-open (closed) sets
- $r$-($r$-$theta$-
- $r$-$etheta$-) $e$-cluster points
- $r$-fuzzy ($e$
- almost) $e^{*}$-regular spaces
- (strongly
- $theta$-) $e$-irresolute mappings
Main Subjects
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