Neutrosophic Soft n-Topological Spaces: A Framework for Decision-Making Problems

Hasan DADAS ^1, Necati Olgun²

¹Kastamonu University, Department of Mathematics, Kastamonu, Turkey

²Gaziantep University, Department of Mathematics, Gaziantep, Turkey

Emails: hsn.dad@gmail.com; olgun@gantep.edu.tr

Abstract

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.

Keywords: Neutrosophic Soft n-Topological Space; Neutrosophic Soft Continuous Map; Neutrosophic Soft n-Homeomorphism; Neutrosophic Soft Filters; Decision-Making Problems