International Journal of Neutrosophic Science IJNS 2690-6805 2692-6148 10.54216/IJNS https://www.americaspg.com/journals/show/1183 2020 2020 Department of Mathematics, College of Education for Pure Sciences, Tikrit University, Tikrit, IRAQ; Tunis M. Ali Department of Mathematics, College of Education for Pure Sciences, Tikrit University, Tikrit, IRAQ; Fatimah M. Mohammed Our purpose in this paper, is to introduce some of new continuous functions, called fuzzy neutrosophic perfectly continuous, fuzzy neutrosophic almost perfectly continuous and fuzzy neutrosophic strongly continuous in the fuzzy neutrosophic topological spaces. We give some theorems, propositions and some necessary examples related to presented definitions. Then, we discuss the relations among the new defined functions. 2022 2022 147 182 10.54216/IJNS.180416 https://www.americaspg.com/articleinfo/21/show/1183