Fuzzy $e$-regular spaces and strongly $e$-irresolute mappings
Journal: Sahand Communications in Mathematical Analysis (Vol.10, No. 1)Publication Date: 2018-04-01
Authors : Veerappan Chandrasekar; Somasundaram Parimala;
Page : 135-156
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;
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 $r$-($r$-$theta$-, $r$-$etheta$-) $e$-cluster points and their properties. Moreover, we investigate the relations among $r$-($r$-$theta$-, $r$-$etheta$-) $e$-cluster points, $r$-fuzzy ($e$, almost) $e^{*}$-regular spaces and their functions.
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