International Journal of Neutrosophic Science IJNS 2690-6805 2692-6148 10.54216/IJNS https://www.americaspg.com/journals/show/2736 2020 2020 Department of Mathematics, College of Education for Pure Sciences, Tikrit University, Tikrit, Iraq Fatimah Fatimah Department of Mathematics, College of Education for Pure Sciences, Tikrit University, Tikrit, Iraq Fatimah M. Mohammed The purpose of the current paper is study some new concept of sets and called fuzzy neutrosophic rar and fuzzy neutrosophic dense sets in fuzzy neutrosophic opology and investigate some properties. In fact, the subject of fuzzy neutrosophic sets is already conducted by F. M. Mohammed et.al. [1-9]. However, the current study illustrates number of notable examples to shed the light on some novel attributes of recently established terms, as well as showing related interactions among these researches. 2024 2024 108 119 10.54216/IJNS.240210 https://www.americaspg.com/articleinfo/21/show/2736