International Journal of Neutrosophic Science IJNS 2690-6805 2692-6148 10.54216/IJNS https://www.americaspg.com/journals/show/3706 2020 2020 Department of Mathematics, College of Education for Pure Sciences, Tikrit University, Tikrit, Iraq; Department of Mathematics, College of computer science and Mathematics, Tikrit University, Tikrit, Iraq Fatimah Fatimah Department of Mathematics, College of Education for Pure Sciences, Tikrit University, Tikrit, Iraq Fatimah M. Mohammed In this paper, we defined some new kinds of continuous functions in fuzzy neutrosophic topology and called fuzzy neutrosophic - continuous, fuzzy neutrosophic weakly  continuous, fuzzy neutrosophic strongly - continuous, fuzzy neutrosophic -contra continuous, fuzzy neutrosophic weakly -contra continuous and fuzzy neutrosophic strongly -contra continuous functions. Then, we defined the relationship between the define functions with their comparative. 2025 2025 182 191 10.54216/IJNS.260213 https://www.americaspg.com/articleinfo/21/show/3706