aspg-21-547-1791468685 20261008141125 American Scientific Publishing Group admin@americaspg.com American Scientific Publishing Group International Journal of Neutrosophic Science IJNS 2692-6148 2690-6805 2019 0 II- Vol 0 A.A.Salama Port Said University, Faculty of Science, Department of Mathematics and Computer Science, Egypt Hewayda ElGhawalby Port Said University, Faculty of Engineering, Physics and Engineering Mathematics Department, Egypt A.M.Nasr Port Said University, Faculty of Engineering, Physics and Engineering Mathematics Department, Egypt In this paper, we aim to develop a new type of neutrosophic fuzzy set called the star neutrosophic fuzzy set as a generalization to star neutrosophic crisp set defined in by Salama et al.[8], and study some of its properties. Adedd to, we introduce the notion of star neutrosophic fuzzy topological space as a generalization to some topological consepts as star neutrosophic fuzzy closure, and star neutrosophic fuzzy interior. Finally, we extend the concepts of fuzzy topological space, and intuitionistic fuzzy topological space to the case of star neutrosophic fuzzy sets. 2019 77 82 547 https://creativecommons.org/licenses/by/4.0/ 10.54216/IJNS.000203 https://www.americaspg.com/journal/21/article/547 https://www.americaspg.com/storage/5062.pdf