Some Properties of Fuzzy Semi-Open Sets in Fuzzy Bi-Spaces

Hassan A. Al-Hadi Ahmed

Department of Mathematics, College of Science, University of Diyala, Diyala, Iraq

Abstract

The idea of fuzzy “semi-open sets” within the framework of fuzzy fields was proposed in the theory of fuzzy topology. This investigation delves deeper into the concept, specifically examining fuzzy “semi-open sets” concerning ω̃1 (ω̃2) with respect to ω̃2 (ω̃1). Additionally, we explore pairs of fuzzy “semi-open sets” in the context of a fuzzy bi-space and analyse their implications on results applicable in bi-topological spaces.

Keywords: Fuzzy poin; fuzzy set; fuzzy semi-open set; fuzzy bi-space