New approach of soft M-open sets in soft topological spaces

Abstract

The goal of this article is to introduce, investigate and prove several of the properties of M-open and M-closed soft sets in soft topological structure (Sτs). Furthermore, we prove that the collection of soft M-open (SMo) sets is a soft topology by stating and proving the conditions. Finally, we define and study some characteristics of soft M (SM)-continuous function, soft M-irresolute function, soft M-compactness, soft M-connectedness and soft M-separation axioms.