c-Continuity, c-Compact and c-Separation Axioms via Soft Sets

Abstract

This paper focuses on the concept of Sc-open sets as a generalization of classical c-open sets in
 topology. The reason behind introducing Sc-open sets is to overcome the limitations of traditional open sets
 in handling uncertainty and vagueness prevalent in decision-making processes. Moreover, the paper makes
 significant contributions to the discussion of the concepts of soft topological spaces (STS) by utilizing Sc-open
 sets that investigate the theoretical foundations and mathematical properties of Sc-open sets, exploring their
 relationships with other soft open sets and soft topological concepts. Overall, the paper aims to provide a com
prehensive understanding of STS and their properties and theorems utilizing the concept of Sc-open set and
 explores the theoretical foundations, mathematical properties, and relationships of these sets while extending
 their application to domains such as Sc-continuity, Sc-separation axiom and Sc compactness.