aspg-21-1183-1791472385 20261008151305 American Scientific Publishing Group admin@americaspg.com American Scientific Publishing Group International Journal of Neutrosophic Science IJNS 2692-6148 2690-6805 2022 18 4 Tunis M. Ali 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; 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 147 182 1183 https://creativecommons.org/licenses/by/4.0/ 10.54216/IJNS.180416 https://www.americaspg.com/journal/21/article/1183 https://www.americaspg.com/storage/8375.pdf