Abstract
The notions of closure* and interior* operators are extended to a fuzzy topology. We start with new concepts called fuzzy infra-semiopen (infra-semiclosed) sets. In applying these concepts, new sorts of fuzzy continuous functions, namely, fuzzy infra-semicontinuous, infra-semi-irresolute and fuzzy infra-semiopen (infra-semiclosed) functions are introduced. A detail study is carried out on properties of these new concepts. The relationship between these concepts and others are discussed and the inverse of these relations are illustrated with examples. Finally, the concept of fuzzy infra-semiconnected are presented.