aspg-21-2700-1791468716 20261008141156 American Scientific Publishing Group admin@americaspg.com American Scientific Publishing Group International Journal of Neutrosophic Science IJNS 2692-6148 2690-6805 2024 24 1 Elaf Ali Sfook Department Of Mathematics, College of Education for women, Tikrit University, Iraq L. A. A. Al-Swidi Department of Mathematics, College of Education for Pure Science, University of Babylon, Hillah, Iraq. Among the important and ancient mathematical concepts are the concepts of grill, the local function, and the knowledge of using grill in conjunction with topological spaces, which have gained wide scope in the natural sciences and elsewhere. The main idea here is to development these concepts in conjunction with neutrosophic crisp sets, and on the other hand to highlight their important and influential properties and the relationships that link them to each other. 2024 296 300 2700 https://creativecommons.org/licenses/by/4.0/ 10.54216/IJNS.240126 https://www.americaspg.com/journal/21/article/2700 https://www.americaspg.com/storage/61713668190.pdf