University of MaraghehSahand Communications in Mathematical Analysis2322-580710120180401Fuzzy $e$-regular spaces and strongly $e$-irresolute mappings1351562803110.22130/scma.2017.28031ENVeerappan ChandrasekarDepartment of Mathematics, Kandaswami Kandar's College, P-velur-638 182, Tamil Nadu, India.Somasundaram ParimalaResearch Scholar (Part Time), Department of Mathematics, Kandaswami Kandar's College, P-velur-638 182, Tamil Nadu, India.Journal Article20160629The 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.http://scma.maragheh.ac.ir/article_28031_3494182d1a8d67a79d2f6930e9405e49.pdf