Abstract
The prime objective of this paper is to introduce and characterize a new type of function in a fuzzy topological spaces called ps-ro fuzzy strongly α-irresolute function. The interrelations of this function with the parallel existing allied concepts are established. The independence of ps-ro fuzzy strongly α-irresolute and well known concept of fuzzy strongly α-irresolute function motivate authors to explore it. Also, this function is found to be stronger than ps-ro fuzzy continuity, ps-ro fuzzy semicontinuity, ps-ro fuzzy precontinuity and ps-ro fuzzy α-continuity. Further, several characterizations of these functions along with different conditions for their existence are obtained.