Fuzzy Boundary and Fuzzy Semiboundary

Abstract

We present several properties of fuzzy boundary and fuzzy semiboundary which have been supported by examples. Properties of fuzzy semi‐interior, fuzzy semiclosure, fuzzy boundary, and fuzzy semiboundary have been obtained in product‐related spaces. We give necessary conditions for fuzzy continuous (resp., fuzzy semicontinuous, fuzzy irresolute) functions. Moreover, fuzzy continuous (resp., fuzzy semicontinuous, fuzzy irresolute) functions have been characterized via fuzzy‐derived (resp., fuzzy‐semiderived) sets.