On $ps$-$ro$ Fuzzy Strongly $\alpha$-Continuous Function

Pankaj Chettri, Laden Bhutia, Anamika Chettri

Abstract

Here we introduce a new class of function between two fuzzy topological spaces termed as $ps$-$ro$ fuzzy strongly $\alpha$-continuous. It is seen that this class of function is independent of the known notion of fuzzy strongly $\alpha$-continuity and this motivates to study the concept and use it as a tool to investigate fuzzy topological spaces. Also it is observed that this function is stronger than the existing  $ps$-$ro$ fuzzy irresolute, $ps$-$ro$ fuzzy $\alpha$-irresolute and $ps$-$ro$ fuzzy semicontinuous functions. Along with the characterizations of this function, their several properties for the existence are also established.