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

Authors

Hind Y. Saleh
Areen A. Salih

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 comprehensive 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.

Recommended Citation

Saleh, Hind Y. and Areen A. Salih. "c-Continuity, c-Compact and c-Separation Axioms via Soft Sets." Neutrosophic Sets and Systems 73, 1 (2024). https://digitalrepository.unm.edu/nss_journal/vol73/iss1/51