Fμ-R-RETRACT AND Fμ-SEMI INTERIOR MAPPING

Abstract In the literature, if is an F-ts and , the induced F-topological Vicente A novel notion of F-topological subspaces was presented in [Fuzzy Sets and Systems 58 (1993) 365], which aligns with the standard definition when . Additionally, they presented the ideas of -continuity and -open sets. In this study, we introduce weaker variants of -continuity using the previously mentioned ideas. Rodabough established the concept of an F-retract [J. Math. Anal. Appl. 79 (1981) 273]. The lesser versions of it are presented here. The concepts of -irresolute mapping, -semi closure, and -semi-interior are presented. Numerous outcomes are achieved.