International Journal of Neutrosophic Science IJNS 2690-6805 2692-6148 10.54216/IJNS https://www.americaspg.com/journals/show/627 2020 2020 An Introduction to Neutro-Fine Topology with Separation Axioms and Decision Making Department of Mathematics, Annamalai University, Annamalainagar, TN, India admin admin Department of Mathematics, Karpagam College of Engineering, Coimbatore, TN, India M. P. Sindhu   The set which describes the uncertainty incident with three levels of attributes is entitled as a neutrosophic set. The unique collection of open sets which contains all types of open sets is termed as fine-open sets. The current study introduces a topology on merging these two sets, called neutro-fine topological space. Additionally, the approach of separation axioms is implemented in such space. Furthermore, the real-life application is examined as a decision-making problem in this space. The problem is to make an unfavorable query into a favorable one by determining the complement and absolute complement of such issued neutro-fine open sets. This problem desires to find a positive solution. The solving stepwise mechanism reveals in the algorithm, also formulae provide to compute the outcome with explanatory examples.   2020 2020 13 28 10.54216/IJNS.120103 https://www.americaspg.com/articleinfo/21/show/627