International Journal of Neutrosophic Science IJNS 2690-6805 2692-6148 10.54216/IJNS https://www.americaspg.com/journals/show/2236 2020 2020 University of Diyala, College of Science, Department of Mathematics, Diyala, Iraq Hassan A. Al-Hadi Ahmed This paper introduces a broadened concept of fuzzy semi-open sets by framing them in the context of fuzzy ideals. Where many of their elementary properties will be presented in terms of theorems and lemmas. Also, many related examples about the validity of semi-open sets and their relationships with fuzzy ideals will be provided and discussed. 2023 2023 121 126 10.54216/IJNS.220411 https://www.americaspg.com/articleinfo/21/show/2236