Generalized covering approximation space and near concepts with some applications
In this paper, we shall integrate some ideas in terms of concepts in topology. First, we introduce some new concepts of rough membership relations and functions in the generalized covering approximation space. Second, we introduce some topological applications namely “near concepts” in the generaliz...
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| Format: | Article |
| Language: | English |
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Emerald Publishing
2016-01-01
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| Series: | Applied Computing and Informatics |
| Subjects: | |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S2210832715000034 |
| _version_ | 1797708203394334720 |
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| author | M.E. Abd El-Monsef A.M. Kozae M.K. El-Bably |
| author_facet | M.E. Abd El-Monsef A.M. Kozae M.K. El-Bably |
| author_sort | M.E. Abd El-Monsef |
| collection | DOAJ |
| description | In this paper, we shall integrate some ideas in terms of concepts in topology. First, we introduce some new concepts of rough membership relations and functions in the generalized covering approximation space. Second, we introduce some topological applications namely “near concepts” in the generalized covering approximation space. Accordingly, several types of fuzzy sets are constructed. The basic notions of near approximations are introduced and sufficiently illustrated. Near concepts are provided to be easy tools to classify the sets and to help for measuring exactness and roughness of sets. Many proved results, examples and counter examples are provided. Finally, we give two practical examples to illustrate our approaches. |
| first_indexed | 2024-03-12T06:17:53Z |
| format | Article |
| id | doaj.art-a3990b45b87342cd967b2ae352d8927e |
| institution | Directory Open Access Journal |
| issn | 2210-8327 |
| language | English |
| last_indexed | 2024-03-12T06:17:53Z |
| publishDate | 2016-01-01 |
| publisher | Emerald Publishing |
| record_format | Article |
| series | Applied Computing and Informatics |
| spelling | doaj.art-a3990b45b87342cd967b2ae352d8927e2023-09-03T02:26:07ZengEmerald PublishingApplied Computing and Informatics2210-83272016-01-01121516910.1016/j.aci.2015.02.001Generalized covering approximation space and near concepts with some applicationsM.E. Abd El-MonsefA.M. KozaeM.K. El-BablyIn this paper, we shall integrate some ideas in terms of concepts in topology. First, we introduce some new concepts of rough membership relations and functions in the generalized covering approximation space. Second, we introduce some topological applications namely “near concepts” in the generalized covering approximation space. Accordingly, several types of fuzzy sets are constructed. The basic notions of near approximations are introduced and sufficiently illustrated. Near concepts are provided to be easy tools to classify the sets and to help for measuring exactness and roughness of sets. Many proved results, examples and counter examples are provided. Finally, we give two practical examples to illustrate our approaches.http://www.sciencedirect.com/science/article/pii/S2210832715000034CoveringsGeneralized covering approximation spaceNear conceptsMemberships relations and functionsFuzzy sets |
| spellingShingle | M.E. Abd El-Monsef A.M. Kozae M.K. El-Bably Generalized covering approximation space and near concepts with some applications Applied Computing and Informatics Coverings Generalized covering approximation space Near concepts Memberships relations and functions Fuzzy sets |
| title | Generalized covering approximation space and near concepts with some applications |
| title_full | Generalized covering approximation space and near concepts with some applications |
| title_fullStr | Generalized covering approximation space and near concepts with some applications |
| title_full_unstemmed | Generalized covering approximation space and near concepts with some applications |
| title_short | Generalized covering approximation space and near concepts with some applications |
| title_sort | generalized covering approximation space and near concepts with some applications |
| topic | Coverings Generalized covering approximation space Near concepts Memberships relations and functions Fuzzy sets |
| url | http://www.sciencedirect.com/science/article/pii/S2210832715000034 |
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