Fuzzyfication of new open set types

Abstract

In this study, we introduce fuzzy AF-open sets in a fuzzy topological space (X, tau). Some properties and characterizations of the fuzzy AF-open set are studied. Also we investigate and research the notions of fuzzy AF-interior and fuzzy AF-cluster points in a fuzzy topological space. Further fuzzy AF-compactness is defined. Its properties and characterizations are examined.