International Journal of Neutrosophic Science IJNS 2690-6805 2692-6148 10.54216/IJNS https://www.americaspg.com/journals/show/1104 2020 2020 Department of Mathematics, College of Education for Pure Science, Al-Muthanna University, Samawah, Iraq Qays Hatem Imran Department of Mathematics, College of Education for Pure Science, University of Babylon, Hillah, Iraq Ali H. M. Al Al-Obaidi Department of Mathematics, University of New Mexico 705 Gurley Ave. Gallup, NM 87301, USA Florentin Smarandache Laboratory of Information Processing, Faculty of Science Ben M’Sik, University Hassan II, B.P 7955, Morocco Said Broumi 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 2022 10 20 10.54216/IJNS.18030101 https://www.americaspg.com/articleinfo/21/show/1104