aspg-21-1659-1791475975 20261008161255 American Scientific Publishing Group admin@americaspg.com American Scientific Publishing Group International Journal of Neutrosophic Science IJNS 2692-6148 2690-6805 2023 20 4 Zahraa A. Khalaf Department of Mathematics, College of Education for Pure Sciences, Tikrit University, Tikrit, IRAQ Fatimah M. Mohammed Department of Mathematics, College of Education for Pure Sciences, Tikrit University, Tikrit, IRAQ A new classes of sets called fuzzy neutrosophic M-open sets and fuzzy neutrosophic M-Closed sets in fuzzy neutrosophic topology are introduced some characterizations of these notions have been presented. After given the fundamental definitions of the new notions, we studided some theorems, propositions and some necessary relations with examples related to these notions had been discussed. 2023 36 45 1659 https://creativecommons.org/licenses/by/4.0/ 10.54216/IJNS.200402 https://www.americaspg.com/journal/21/article/1659 https://www.americaspg.com/storage/71680868766.pdf