Pairwise Approach to Neutrosophic Soft Bi-Topological Spaces: Exploring Neutrosophic Soft Open Sets and Their Real-Life Applications

Abstract

In this article, eight new definitions are introduced in the context of neutrosophic soft 
bi-topological spaces with respect to the soft points of the space. Among these new definitions, one 
important concept known as the soft open set is selected for a pairwise discussion of different 
structures. These structures include separation axioms, subspaces, the connections between 
separation axioms and closures, results concerning interiors and closures, the product of separation 
axioms, and their relationships with neutrosophic soft coordinate spaces regarding soft points. 
Finally, the most significant structure known as entropy is discussed, and based on this structure, an 
example related to engineering is presented. In this example, to achieve effective risk supervision in 
the field of engineering, certain risks are classified along with specific parameters, and these risks are 
evaluated by a team of expert engineers. Mehmood et al. [40] proposed a new approach to 
generalized neutrosophic soft sets in neutrosophic soft topology concerning the soft points of the 
space and discussed several structures related to this new approach. The references by Ozturk et al. 
[32-35] led us to this present work, with [32] serving as a significant source of motivation. In this particular work, the author defined neutrosophic soft topological space in an exceptionally novel  way.

DOI: 10.5281/zenodo.13924251