Abstract

In this paper we characterize fuzzy $m$-$\delta_{p}$-normal space [7] by $fmg\delta_{p}$-open set, the class of which is strictly larger than that of fuzzy $m$-open set [2]. Also here we introduce fuzzy quasi $(m, m_{1})$-$\delta$-preclosed, almost $f(m, m_{1})g\delta_{p}$-closed and $fm\delta_{p}$-$fm_{1}g\delta_{p}$-closed functions between two fuzzy $m$-spaces and establish the interrelations of these functions. The applications of these functions on fuzzy $m$-$\delta_{p}$-normal space are shown here.

Keywords and Phrases

Fuzzy $m$-closed set, fuzzy $m$-$\delta$-preclosed set, $fmg\delta_{p}$-closed set, fuzzy $m$-$\delta_{p}$-normal space, fuzzy strongly $(m, m_{1})$-$\delta$-preclosed function, $fm\delta_{p}$-$fm_{1}g\delta_{p}$-closed function, fuzzy $m$-normal space.

A.M.S. subject classification

Primary 54A40, Secondary 03E72.

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