%0 Journal Article %T Fuzzy $e$-regular spaces and strongly $e$-irresolute mappings %J Sahand Communications in Mathematical Analysis %I University of Maragheh %Z 2322-5807 %A Chandrasekar, Veerappan %A Parimala, Somasundaram %D 2018 %\ 04/01/2018 %V 10 %N 1 %P 135-156 %! Fuzzy $e$-regular spaces and strongly $e$-irresolute mappings %K Fuzzy topology %K $r$-fuzzy $e$-open (closed) sets %K $r$-($r$-$theta$- %K $r$-$etheta$-) $e$-cluster points %K $r$-fuzzy ($e$ %K almost) $e^{*}$-regular spaces %K (strongly %K $theta$-) $e$-irresolute mappings %R 10.22130/scma.2017.28031 %X 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. %U https://scma.maragheh.ac.ir/article_28031_3494182d1a8d67a79d2f6930e9405e49.pdf