International Journal of Neutrosophic Science IJNS 2690-6805 2692-6148 10.54216/IJNS https://www.americaspg.com/journals/show/2237 2020 2020 Department of Mathematics, College of Science, University of Diyala, Diyala, Iraq Hassan A. Al-Hadi Ahmed 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. 2024 2024 112 116 10.54216/IJNS.230109 https://www.americaspg.com/articleinfo/21/show/2237