Galoitica: Journal of Mathematical Structures and Applications GJMSA 2834-5568 10.54216/GJSMA https://www.americaspg.com/journals/show/2333 2022 2022 Kastamonu University, Department of Mathematics, Kastamonu, Turkey Hasan Hasan Gaziantep University, Department of Mathematics, Gaziantep, Turkey Necati Olgun This article introduces the concept of neutrosophic soft n-topological spaces and their application in decision-making problems. Neutrosophic soft sets are used to define the open sets in these spaces, which allow for greater flexibility and uncertainty in the decision-making process. The concept of neutrosophic soft n-homeomorphism is also introduced, which describes the topological equivalence between two neutrosophic soft n-topological spaces. The article provides examples of how neutrosophic soft n-topological spaces can be used in decision-making problems, such as medical diagnosis and stock market analysis. The theory and applications presented in this article provide a valuable tool for dealing with uncertainty in decision-making problems. 2023 2023 15 21 10.54216/GJMSA.090202 https://www.americaspg.com/articleinfo/33/show/2333