International Journal of Neutrosophic Science IJNS 2690-6805 2692-6148 10.54216/IJNS https://www.americaspg.com/journals/show/1659 2020 2020 Department of Mathematics, College of Education for Pure Sciences, Tikrit University, Tikrit, IRAQ Zahraa A. Khalaf Department of Mathematics, College of Education for Pure Sciences, Tikrit University, Tikrit, IRAQ Fatimah M. Mohammed 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 2023 36 45 10.54216/IJNS.200402 https://www.americaspg.com/articleinfo/21/show/1659