aspg-21-1104-1791468677 20261008141117 American Scientific Publishing Group admin@americaspg.com American Scientific Publishing Group International Journal of Neutrosophic Science IJNS 2692-6148 2690-6805 2022 18 3 Qays Hatem Imran Department of Mathematics, College of Education for Pure Science, Al-Muthanna University, Samawah, Iraq Ali H. M. Al-Obaidi Department of Mathematics, College of Education for Pure Science, University of Babylon, Hillah, Iraq Florentin Smarandache Department of Mathematics, University of New Mexico 705 Gurley Ave. Gallup, NM 87301, USA Said Broumi Laboratory of Information Processing, Faculty of Science Ben M’Sik, University Hassan II, B.P 7955, Morocco The article considers a new generalization of closed sets in neutrosophic topological space. This generalization is called Neutrosophic gsg-closed set. Moreover, we discuss its essential features in neutrosophic topological spaces. Furthermore, we extend the research by displaying new related definitions such as neutrosophic gsg-closure and neutrosophic gsg-interior and debating their powerful characterizations and relationships. 2022 10 20 1104 https://creativecommons.org/licenses/by/4.0/ 10.54216/IJNS.18030101 https://www.americaspg.com/journal/21/article/1104 https://www.americaspg.com/storage/6374.pdf