Fuzzy M-Open Sets

Abstract

In this paper, we introduce the relatively new notion of fuzzy M-open subset which is strictly weaker than fuzzy
open. We prove that the collection of all fuzzy M-open subsets of a fuzzy space forms a fuzzy topology that is finer
than the original one. Several characterizations and properties of this class are also given as well as connections to
other well-known ”fuzzy generalized open” subsets.