International Journal of Neutrosophic Science IJNS 2690-6805 2692-6148 10.54216/IJNS https://www.americaspg.com/journals/show/2104 2020 2020 Department of Mathematics, Science College, Kokrajhar, Assam, India ; Department of Mathematics, Central Institute of Technology, Kokrajhar, Assam, India Sudeep Dey Department of Mathematics, Central Institute of Technology, Kokrajhar, Assam, India Gautam Chandra Ray In this article, we first establish a few relationships among neutrosophic interior, neutrosophic closure, neutrosophic pre-open sets, and neutrosophic pre-closed sets in single-valued neutrosophic topological spaces. Thereafter, we defined neutrosophic pre-  space, neutrosophic pre-  space, and neutrosophic pre-  space based on single-valued neutrosophic topological spaces and studied a few properties and relationships among them. We try to establish some relationships between existing neutrosophic separation axioms and newly defined neutrosophic pre-separation axioms. Finally, we study some hereditary properties of pre-separation axioms. Apart from these, we also explore some results implementing neutrosophic pre-open function, neutrosophic pre-continuous function, neutrosophic pre-irresolute function and neutrosophic pre -function based on our defined definitions.   2023 2023 15 28 10.54216/IJNS.220202 https://www.americaspg.com/articleinfo/21/show/2104