On rarely fuzzy e-continuous functions in the sense of Šostak’s

Abstract

In this paper, we introduce the concepts of rarely fuzzy e-continuous functions in the sense of Šostak’s is introduced. Some interesting properties and characterizations of rarely fuzzy e-continuous and weakly fuzzy e-continuous are investigated. Also, fuzzy eT1/2-space, rarely fuzzy eT2-spaces and some applications to fuzzy compact spaces are established.