Generalized covering approximation space and near concepts with some applications
| Autor: | A. M. Kozae, Mostafa K. El-Bably, M. E. Abd El-Monsef |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2016 |
| Předmět: |
Fuzzy sets
021103 operations research lcsh:T58.5-58.64 Computer science lcsh:Information technology Fuzzy set 0211 other engineering and technologies 02 engineering and technology Space (mathematics) Computer Science Applications Algebra Coverings Near concepts 0202 electrical engineering electronic engineering information engineering 020201 artificial intelligence & image processing Generalized covering approximation space Memberships relations and functions Software Topology (chemistry) Information Systems Counterexample |
| Zdroj: | Applied Computing and Informatics, Vol 12, Iss 1, Pp 51-69 (2016) |
| ISSN: | 2210-8327 |
| Popis: | 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. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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