On fuzzy strong semicontinuity and fuzzy precontinuity

Abstract Using the notion of fuzzy sets, Azad, in 1981, introduced and studied the concept of semiopen (semiclosed) sets, semi-continuous mappings, almost continuous mappings, and weakly continuous mappings in the fuzzy setting. In the same spirit, defining fuzzy α-open (α-closed) sets, and fuzzy preopen (preclosed) sets, we introduce and make a preliminary study of fuzzy strongly semicontinuous, and fuzzy precontinuous mappings in this paper.