Hypersoft Topological Spaces
Smarandache [48] introduced the concept of hypersoft set which is a generalization of soft set. This notion is more adaptable than soft set and more suited to challenges involving decision-making. Consequently, topology defined on the collection of hypersoft sets will be in great importance. In this...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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University of New Mexico
2022-04-01
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| Series: | Neutrosophic Sets and Systems |
| Subjects: | |
| Online Access: | http://fs.unm.edu/NSS/HypersoftTopologicalSpaces26.pdf |
| _version_ | 1797986056326348800 |
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| author | Sagvan Y. Musa Baravan A. Asaad |
| author_facet | Sagvan Y. Musa Baravan A. Asaad |
| author_sort | Sagvan Y. Musa |
| collection | DOAJ |
| description | Smarandache [48] introduced the concept of hypersoft set which is a generalization of soft set. This notion is more adaptable than soft set and more suited to challenges involving decision-making. Consequently, topology defined on the collection of hypersoft sets will be in great importance. In this paper, we introduce hypersoft topological spaces which are defined over an initial universe with a fixed set of parameters. The notions of hypersoft open sets, hypersoft closed sets, hypersoft neighborhood, hypersoft limit point, and hypersoft subspace are introduced and their basic properties are investigated. Finally, we introduce the concepts of hypersoft closure, hypersoft interior, hypersoft exterior, and hypersoft boundary and the relationship between them are discussed. |
| first_indexed | 2024-04-11T07:26:59Z |
| format | Article |
| id | doaj.art-e3eeef92f9b44906acd3dcc55706a79a |
| institution | Directory Open Access Journal |
| issn | 2331-6055 2331-608X |
| language | English |
| last_indexed | 2024-04-11T07:26:59Z |
| publishDate | 2022-04-01 |
| publisher | University of New Mexico |
| record_format | Article |
| series | Neutrosophic Sets and Systems |
| spelling | doaj.art-e3eeef92f9b44906acd3dcc55706a79a2022-12-22T04:37:03ZengUniversity of New MexicoNeutrosophic Sets and Systems2331-60552331-608X2022-04-014939741510.5281/zenodo.6426447Hypersoft Topological SpacesSagvan Y. MusaBaravan A. AsaadSmarandache [48] introduced the concept of hypersoft set which is a generalization of soft set. This notion is more adaptable than soft set and more suited to challenges involving decision-making. Consequently, topology defined on the collection of hypersoft sets will be in great importance. In this paper, we introduce hypersoft topological spaces which are defined over an initial universe with a fixed set of parameters. The notions of hypersoft open sets, hypersoft closed sets, hypersoft neighborhood, hypersoft limit point, and hypersoft subspace are introduced and their basic properties are investigated. Finally, we introduce the concepts of hypersoft closure, hypersoft interior, hypersoft exterior, and hypersoft boundary and the relationship between them are discussed.http://fs.unm.edu/NSS/HypersoftTopologicalSpaces26.pdfhypersoft setshypersoft topologyhypersoft open setshypersoft closed setshypersoft neighborhoodhypersoft limit pointhypersoft closurehypersoft interiorhypersoft exteriorhypersoft boundary |
| spellingShingle | Sagvan Y. Musa Baravan A. Asaad Hypersoft Topological Spaces Neutrosophic Sets and Systems hypersoft sets hypersoft topology hypersoft open sets hypersoft closed sets hypersoft neighborhood hypersoft limit point hypersoft closure hypersoft interior hypersoft exterior hypersoft boundary |
| title | Hypersoft Topological Spaces |
| title_full | Hypersoft Topological Spaces |
| title_fullStr | Hypersoft Topological Spaces |
| title_full_unstemmed | Hypersoft Topological Spaces |
| title_short | Hypersoft Topological Spaces |
| title_sort | hypersoft topological spaces |
| topic | hypersoft sets hypersoft topology hypersoft open sets hypersoft closed sets hypersoft neighborhood hypersoft limit point hypersoft closure hypersoft interior hypersoft exterior hypersoft boundary |
| url | http://fs.unm.edu/NSS/HypersoftTopologicalSpaces26.pdf |
| work_keys_str_mv | AT sagvanymusa hypersofttopologicalspaces AT baravanaasaad hypersofttopologicalspaces |