c-Continuity, c-Compact and c-Separation Axioms via Soft Sets
This paper focuses on the concept of S c-open sets as a generalization of classical c-open sets in topology. The reason behind introducing S c-open sets is to overcome the limitations of traditional open sets in handling uncertainty and vagueness prevalent in decision-making processes. Moreover, the...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
University of New Mexico
2024-11-01
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| Series: | Neutrosophic Sets and Systems |
| Subjects: | |
| Online Access: | https://fs.unm.edu/NSS/50c-Continuityc-compactc-Separation.pdf |
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| Summary: | This paper focuses on the concept of S c-open sets as a generalization of classical c-open sets in topology. The reason behind introducing S c-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 S c-open sets that investigate the theoretical foundations and mathematical properties of S c-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 S c-open set and explores the theoretical foundations, mathematical properties, and relationships of these sets while extending their application to domains such as S c-continuity, S c-separation axiom and S c compactness. |
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| ISSN: | 2331-6055 2331-608X |