Neutrosophic SuperHyper Bi-Topological Spaces: Original Notions and New Insights
This manuscript comes as first attempt in building a new type of neutrosophic topological spaces, the aim is to shed the light on a new structure known as the 𝑛 𝑡ℎ -power set 𝑃 𝑛(𝑋) of a set, this new kind of sets enables authors to create and built new topology spaces called Neutrosophic SuperHyper...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
University of New Mexico
2022-09-01
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| Series: | Neutrosophic Sets and Systems |
| Subjects: | |
| Online Access: | http://fs.unm.edu/NSS/NeutrosophicSuperHyperBiTopological3.pdf |
| _version_ | 1811336507011629056 |
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| author | Huda E. Khali Gonca D. Güngör Muslim A. Noah Zainal |
| author_facet | Huda E. Khali Gonca D. Güngör Muslim A. Noah Zainal |
| author_sort | Huda E. Khali |
| collection | DOAJ |
| description | This manuscript comes as first attempt in building a new type of neutrosophic topological spaces, the aim is to shed the light on a new structure known as the 𝑛 𝑡ℎ -power set 𝑃 𝑛(𝑋) of a set, this new kind of sets enables authors to create and built new topology spaces called Neutrosophic SuperHyper Topological Spaces and Neutrosophic SuperHyper Bi-Topological Spaces , the 𝑛 𝑡ℎ - power sets are the optimal representation for the applications in our real world. In this article, new concepts and theorems related to these new topologies have been discussed, which are pairwise neutrosophic open 𝑛 𝑡ℎ -power set, pairwise neutrosophic closed 𝑛 𝑡ℎ -power set, as well as, the closures and the interiors are defined with their properties. Many of relations for these concepts have been introduced. |
| first_indexed | 2024-04-13T17:40:34Z |
| format | Article |
| id | doaj.art-6142ff5b77d046cb8a5001b8ce384230 |
| institution | Directory Open Access Journal |
| issn | 2331-6055 2331-608X |
| language | English |
| last_indexed | 2024-04-13T17:40:34Z |
| publishDate | 2022-09-01 |
| publisher | University of New Mexico |
| record_format | Article |
| series | Neutrosophic Sets and Systems |
| spelling | doaj.art-6142ff5b77d046cb8a5001b8ce3842302022-12-22T02:37:11ZengUniversity of New MexicoNeutrosophic Sets and Systems2331-60552331-608X2022-09-0151334510.5281/zenodo.7135241Neutrosophic SuperHyper Bi-Topological Spaces: Original Notions and New InsightsHuda E. KhaliGonca D. GüngörMuslim A. Noah ZainalThis manuscript comes as first attempt in building a new type of neutrosophic topological spaces, the aim is to shed the light on a new structure known as the 𝑛 𝑡ℎ -power set 𝑃 𝑛(𝑋) of a set, this new kind of sets enables authors to create and built new topology spaces called Neutrosophic SuperHyper Topological Spaces and Neutrosophic SuperHyper Bi-Topological Spaces , the 𝑛 𝑡ℎ - power sets are the optimal representation for the applications in our real world. In this article, new concepts and theorems related to these new topologies have been discussed, which are pairwise neutrosophic open 𝑛 𝑡ℎ -power set, pairwise neutrosophic closed 𝑛 𝑡ℎ -power set, as well as, the closures and the interiors are defined with their properties. Many of relations for these concepts have been introduced.http://fs.unm.edu/NSS/NeutrosophicSuperHyperBiTopological3.pdf neutrosophic superhyper topological spacesneutrosophic superhyper bi-topological spaces |
| spellingShingle | Huda E. Khali Gonca D. Güngör Muslim A. Noah Zainal Neutrosophic SuperHyper Bi-Topological Spaces: Original Notions and New Insights Neutrosophic Sets and Systems neutrosophic superhyper topological spaces neutrosophic superhyper bi-topological spaces |
| title | Neutrosophic SuperHyper Bi-Topological Spaces: Original Notions and New Insights |
| title_full | Neutrosophic SuperHyper Bi-Topological Spaces: Original Notions and New Insights |
| title_fullStr | Neutrosophic SuperHyper Bi-Topological Spaces: Original Notions and New Insights |
| title_full_unstemmed | Neutrosophic SuperHyper Bi-Topological Spaces: Original Notions and New Insights |
| title_short | Neutrosophic SuperHyper Bi-Topological Spaces: Original Notions and New Insights |
| title_sort | neutrosophic superhyper bi topological spaces original notions and new insights |
| topic | neutrosophic superhyper topological spaces neutrosophic superhyper bi-topological spaces |
| url | http://fs.unm.edu/NSS/NeutrosophicSuperHyperBiTopological3.pdf |
| work_keys_str_mv | AT hudaekhali neutrosophicsuperhyperbitopologicalspacesoriginalnotionsandnewinsights AT goncadgungor neutrosophicsuperhyperbitopologicalspacesoriginalnotionsandnewinsights AT muslimanoahzainal neutrosophicsuperhyperbitopologicalspacesoriginalnotionsandnewinsights |