A Novel Rough Set Model in Generalized Single Valued Neutrosophic Approximation Spaces and Its Application
In this paper, we extend the rough set model on two different universes in intuitionistic fuzzy approximation spaces to a single-valued neutrosophic environment. Firstly, based on the ( α , β , γ ) -cut relation R ˜ { ( α , β , γ ) } , we propose a rough set model in generalized si...
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| Format: | Article |
| Language: | English |
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MDPI AG
2017-07-01
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| Series: | Symmetry |
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| Online Access: | https://www.mdpi.com/2073-8994/9/7/119 |
| _version_ | 1798024667144912896 |
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| author | Zhi-Lian Guo Yan-Ling Liu Hai-Long Yang |
| author_facet | Zhi-Lian Guo Yan-Ling Liu Hai-Long Yang |
| author_sort | Zhi-Lian Guo |
| collection | DOAJ |
| description | In this paper, we extend the rough set model on two different universes in intuitionistic fuzzy approximation spaces to a single-valued neutrosophic environment. Firstly, based on the ( α , β , γ ) -cut relation R ˜ { ( α , β , γ ) } , we propose a rough set model in generalized single-valued neutrosophic approximation spaces. Then, some properties of the new rough set model are discussed. Furthermore, we obtain two extended models of the new rough set model—the degree rough set model and the variable precision rough set model—and study some of their properties. Finally, we explore an example to illustrate the validity of the new rough set model. |
| first_indexed | 2024-04-11T18:06:21Z |
| format | Article |
| id | doaj.art-648b2f7fd5f3445185080775482a819d |
| institution | Directory Open Access Journal |
| issn | 2073-8994 |
| language | English |
| last_indexed | 2024-04-11T18:06:21Z |
| publishDate | 2017-07-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Symmetry |
| spelling | doaj.art-648b2f7fd5f3445185080775482a819d2022-12-22T04:10:19ZengMDPI AGSymmetry2073-89942017-07-019711910.3390/sym9070119sym9070119A Novel Rough Set Model in Generalized Single Valued Neutrosophic Approximation Spaces and Its ApplicationZhi-Lian Guo0Yan-Ling Liu1Hai-Long Yang2College of Economics, Northwest University of Political Science and Law, Xi’an 710063, ChinaCollege of Mathematics and Information Science, Shaanxi Normal University, Xi’an 710119, ChinaCollege of Mathematics and Information Science, Shaanxi Normal University, Xi’an 710119, ChinaIn this paper, we extend the rough set model on two different universes in intuitionistic fuzzy approximation spaces to a single-valued neutrosophic environment. Firstly, based on the ( α , β , γ ) -cut relation R ˜ { ( α , β , γ ) } , we propose a rough set model in generalized single-valued neutrosophic approximation spaces. Then, some properties of the new rough set model are discussed. Furthermore, we obtain two extended models of the new rough set model—the degree rough set model and the variable precision rough set model—and study some of their properties. Finally, we explore an example to illustrate the validity of the new rough set model.https://www.mdpi.com/2073-8994/9/7/119neutrosophic setssingle-valued neutrosophic setsgeneralized single-valued neutrosophic approximation spacesrough setssingle-valued neutrosophic relations |
| spellingShingle | Zhi-Lian Guo Yan-Ling Liu Hai-Long Yang A Novel Rough Set Model in Generalized Single Valued Neutrosophic Approximation Spaces and Its Application Symmetry neutrosophic sets single-valued neutrosophic sets generalized single-valued neutrosophic approximation spaces rough sets single-valued neutrosophic relations |
| title | A Novel Rough Set Model in Generalized Single Valued Neutrosophic Approximation Spaces and Its Application |
| title_full | A Novel Rough Set Model in Generalized Single Valued Neutrosophic Approximation Spaces and Its Application |
| title_fullStr | A Novel Rough Set Model in Generalized Single Valued Neutrosophic Approximation Spaces and Its Application |
| title_full_unstemmed | A Novel Rough Set Model in Generalized Single Valued Neutrosophic Approximation Spaces and Its Application |
| title_short | A Novel Rough Set Model in Generalized Single Valued Neutrosophic Approximation Spaces and Its Application |
| title_sort | novel rough set model in generalized single valued neutrosophic approximation spaces and its application |
| topic | neutrosophic sets single-valued neutrosophic sets generalized single-valued neutrosophic approximation spaces rough sets single-valued neutrosophic relations |
| url | https://www.mdpi.com/2073-8994/9/7/119 |
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