International Journal of Neutrosophic Science IJNS 2690-6805 2692-6148 10.54216/IJNS https://www.americaspg.com/journals/show/2664 2020 2020 Neutrosophic Binary Separation Axioms associated Neutrosophic Binary Kernel Set Department of Mathematics, College of Education for Pure Science, Al-Muthanna University, Samawah, Iraq Amer Amer Department of Mathematics, College of Education for Pure Science, Al-Muthanna University, Samawah, Iraq Sarab Kazim Hassan Department of Mathematics, College of Education for Pure Science, Al-Muthanna University, Samawah, Iraq Qays Hatem Imran Department of Mathematics, College of Education for Pure Science, University of Babylon, Hillah, Iraq Ali H. M. Al Al-Obaidi Laboratory of Information Processing, Faculty of Science Ben M’Sik, University Hassan II, B.P 7955, Morocco Said Broumi The primary purpose of this report is to present an idea that is considered one of the main ideas in neutrosophic binary topological spaces. We plead them the axioms of neutrosophic binary separation axioms associated in the neutrosophic binary kernel. Also we studied its characteristics and the relationships between these new neutrosophic binary separation axioms and their relationships with some other properties.     2024 2024 208 218 10.54216/IJNS.240119 https://www.americaspg.com/articleinfo/21/show/2664