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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| Format: | Article |
| Language: | English |
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University of New Mexico
2024-11-01
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| Series: | Neutrosophic Sets and Systems |
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| Online Access: | https://fs.unm.edu/NSS/50c-Continuityc-compactc-Separation.pdf |
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| author | Gugu Narzary Bhimraj Basumatary Giorgio Nordo |
| author_facet | Gugu Narzary Bhimraj Basumatary Giorgio Nordo |
| author_sort | Gugu Narzary |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-4ea4c17a5b95491d8dae092bce66b597 |
| institution | Kabale University |
| issn | 2331-6055 2331-608X |
| language | English |
| publishDate | 2024-11-01 |
| publisher | University of New Mexico |
| record_format | Article |
| series | Neutrosophic Sets and Systems |
| spelling | doaj-art-4ea4c17a5b95491d8dae092bce66b5972025-08-24T16:13:51ZengUniversity of New MexicoNeutrosophic Sets and Systems2331-60552331-608X2024-11-017361563210.5281/zenodo.13989344c-Continuity, c-Compact and c-Separation Axioms via Soft SetsGugu NarzaryBhimraj BasumataryGiorgio NordoThis 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.https://fs.unm.edu/NSS/50c-Continuityc-compactc-Separation.pdfs c-open sets c-regular spaces c-normal spaces c-compact spaces c∗-compact spaces c-continuous functions c∗-continuous function |
| spellingShingle | Gugu Narzary Bhimraj Basumatary Giorgio Nordo c-Continuity, c-Compact and c-Separation Axioms via Soft Sets Neutrosophic Sets and Systems s c-open set s c-regular space s c-normal space s c-compact space s c∗-compact space s c-continuous function s c∗-continuous function |
| title | c-Continuity, c-Compact and c-Separation Axioms via Soft Sets |
| title_full | c-Continuity, c-Compact and c-Separation Axioms via Soft Sets |
| title_fullStr | c-Continuity, c-Compact and c-Separation Axioms via Soft Sets |
| title_full_unstemmed | c-Continuity, c-Compact and c-Separation Axioms via Soft Sets |
| title_short | c-Continuity, c-Compact and c-Separation Axioms via Soft Sets |
| title_sort | c continuity c compact and c separation axioms via soft sets |
| topic | s c-open set s c-regular space s c-normal space s c-compact space s c∗-compact space s c-continuous function s c∗-continuous function |
| url | https://fs.unm.edu/NSS/50c-Continuityc-compactc-Separation.pdf |
| work_keys_str_mv | AT gugunarzary ccontinuityccompactandcseparationaxiomsviasoftsets AT bhimrajbasumatary ccontinuityccompactandcseparationaxiomsviasoftsets AT giorgionordo ccontinuityccompactandcseparationaxiomsviasoftsets |