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

Authors

  • Somasundaram Parimala Research Scholar (Part Time), Department of Mathematics, Kandaswami Kandar's College, P-velur-638 182, Tamil Nadu, India.
  • Veerappan Chandrasekar 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 $r$-($r$-$theta$-, $r$-$etheta$-) $e$-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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Journal title

volume 10  issue 1

pages  135- 156

publication date 2018-04-01

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