Fuzzy <i>r</i>‐continuous and fuzzy <i>r</i>‐semicontinuous maps

Abstract

We introduce a new notion of fuzzy r ‐interior which is an extension of Chang′s fuzzy interior. Using fuzzy r ‐interior, we define fuzzy r ‐semiopen sets and fuzzy r ‐semicontinuous maps which are generalizations of fuzzy semiopen sets and fuzzy semicontinuous maps in Chang′s fuzzy topology, respectively. Some basic properties of fuzzy r ‐semiopen sets and fuzzy r ‐semicontinuous maps are investigated.