On Neutrosophic Crisp Soft Separation Axioms via Neutrosophic Crisp Soft Set in Neutrosophic Crisp Soft Topological Space

Abstract

Abstract:

In this pioneering study, we introduce the concept of neutrosophic crisp soft sets for the first time globally. Using this new class of sets, we examine "neutrosophic crisp soft topological space" and identify many key properties. 

Additionally, we extend the concept of neutrosophic crisp points to neutrosophic crisp soft points, which then form the basis for discovering a novel type of "neutrosophic crisp soft separation axioms" within "neutrosophic crisp soft topological spaces". We further explore the relationships between these separation axioms and provide insightful remarks and theorems related to these concepts. 

Moreover, this research presents fundamental definitions of neutrosophic crisp soft sets, including operations such as union and intersection. We also demonstrate their applicability through theorems, remarks, and examples. These new sets prove valuable in decision-making processes across diverse fields such as economics, agriculture, medicine, engineering, and others.