Covering-Based Rough Single Valued Neutrosophic Sets
Rough sets theory is a powerful tool to deal with uncertainty and incompleteness of knowledge in information systems. Wang et al. proposed single valued neutrosophic sets as an extension of intuitionistic fuzzy sets to deal with real-world problems. In this paper, we propose the covering-based rough...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
University of New Mexico
2017-09-01
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| Series: | Neutrosophic Sets and Systems |
| Subjects: | |
| Online Access: | http://fs.gallup.unm.edu/NSS/CoveringBasedRoughSingleValued.pdf |
| _version_ | 1818138013606084608 |
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| author | Yingcang Ma Wanying Zhou Qing Wan |
| author_facet | Yingcang Ma Wanying Zhou Qing Wan |
| author_sort | Yingcang Ma |
| collection | DOAJ |
| description | Rough sets theory is a powerful tool to deal with uncertainty and incompleteness of knowledge in information systems. Wang et al. proposed single valued neutrosophic sets as an extension of intuitionistic fuzzy sets to deal with real-world problems. In this paper, we propose the covering-based rough single valued neutrosophic sets by combining covering-based rough sets and single valued neutrosophic sets. Firstly, three types of covering-based rough single valued neutrosophic sets models are built and the properties of lower/upper approximation operators are explored. Secondly, the lower/upper approximations in two different covering approximation spaces are studied. The sufficient and necessary condition for generating the same lower/upper approximations from two different covering approximation spaces is discussed. Moreover, the relations of the three models are discussed and the equivalence conditions for three models are given. |
| first_indexed | 2024-12-11T10:05:27Z |
| format | Article |
| id | doaj.art-d6eccd6b03d14a618fe8480604e61aa0 |
| institution | Directory Open Access Journal |
| issn | 2331-6055 2331-608X |
| language | English |
| last_indexed | 2024-12-11T10:05:27Z |
| publishDate | 2017-09-01 |
| publisher | University of New Mexico |
| record_format | Article |
| series | Neutrosophic Sets and Systems |
| spelling | doaj.art-d6eccd6b03d14a618fe8480604e61aa02022-12-22T01:11:57ZengUniversity of New MexicoNeutrosophic Sets and Systems2331-60552331-608X2017-09-01173910.5281/zenodo.1012221Covering-Based Rough Single Valued Neutrosophic SetsYingcang Ma0Wanying Zhou1Qing Wan2Xi’an Polytechnic UniversityXi’an Polytechnic UniversityXi’an Polytechnic UniversityRough sets theory is a powerful tool to deal with uncertainty and incompleteness of knowledge in information systems. Wang et al. proposed single valued neutrosophic sets as an extension of intuitionistic fuzzy sets to deal with real-world problems. In this paper, we propose the covering-based rough single valued neutrosophic sets by combining covering-based rough sets and single valued neutrosophic sets. Firstly, three types of covering-based rough single valued neutrosophic sets models are built and the properties of lower/upper approximation operators are explored. Secondly, the lower/upper approximations in two different covering approximation spaces are studied. The sufficient and necessary condition for generating the same lower/upper approximations from two different covering approximation spaces is discussed. Moreover, the relations of the three models are discussed and the equivalence conditions for three models are given.http://fs.gallup.unm.edu/NSS/CoveringBasedRoughSingleValued.pdfcovering-based rough setssingle valued neutrosophic setsneutrosophic setscovering-based rough single valued neutrosophic sets |
| spellingShingle | Yingcang Ma Wanying Zhou Qing Wan Covering-Based Rough Single Valued Neutrosophic Sets Neutrosophic Sets and Systems covering-based rough sets single valued neutrosophic sets neutrosophic sets covering-based rough single valued neutrosophic sets |
| title | Covering-Based Rough Single Valued Neutrosophic Sets |
| title_full | Covering-Based Rough Single Valued Neutrosophic Sets |
| title_fullStr | Covering-Based Rough Single Valued Neutrosophic Sets |
| title_full_unstemmed | Covering-Based Rough Single Valued Neutrosophic Sets |
| title_short | Covering-Based Rough Single Valued Neutrosophic Sets |
| title_sort | covering based rough single valued neutrosophic sets |
| topic | covering-based rough sets single valued neutrosophic sets neutrosophic sets covering-based rough single valued neutrosophic sets |
| url | http://fs.gallup.unm.edu/NSS/CoveringBasedRoughSingleValued.pdf |
| work_keys_str_mv | AT yingcangma coveringbasedroughsinglevaluedneutrosophicsets AT wanyingzhou coveringbasedroughsinglevaluedneutrosophicsets AT qingwan coveringbasedroughsinglevaluedneutrosophicsets |