Fuzzy strongly semiopen sets and fuzzy strong semicontinuity

Abstract In this paper we first introduce and study the fuzzy strongly semiopen and fuzzy strongly semiclosed sets in fuzzy space. Then we introduce the strong semi-interior and strong semiclosure of a fuzzy set, and Kuratowski's 14-sets theorem of general topology is generalized. Finally we introduce the fuzzy strongly semicontinuous, fuzzy strongly semiopen and fuzzy strongly semiclosed mappings on fuzzy topological spaces, and also establish some of their characteristic properties, and discuss relations between fuzzy continuous, fuzzy semicontinuous and fuzzy strongly semicontinuous mappings.