aspg-21-2236-1791472335 20261008151215 American Scientific Publishing Group admin@americaspg.com American Scientific Publishing Group International Journal of Neutrosophic Science IJNS 2692-6148 2690-6805 2023 22 4 Hassan A. Al-Hadi Ahmed University of Diyala, College of Science, Department of Mathematics, Diyala, Iraq 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 121 126 2236 https://creativecommons.org/licenses/by/4.0/ 10.54216/IJNS.220411 https://www.americaspg.com/journal/21/article/2236 https://www.americaspg.com/storage/71749416542.pdf