Semiregularization and semiregular properties in fuzzy multiset topological spaces

Abstract

This paper aims to investigate semiregular spaces and its properties within the context of fuzzy $M$-topological surfaces. To achieve this, we examine the characteristics of regular open sets in fuzzy $M$-topological spaces. Our research reveals that $FM$-semiregularization is not inherited by certain types of subspaces. Furthermore, we define various separation axioms using quasi-coincidence and analyze whether these axioms or related fuzzy $M$-topological concepts possess $FM$-semiregular properties.