SOME NEW TYPES OF APPROXIMATIONS VIA MINIMAL STRUCTURE
| Autor: | Fatma Altwme, M. El − Sharkasy |
|---|---|
| Rok vydání: | 2018 |
| Předmět: |
Pure mathematics
Open set Structure (category theory) 020207 software engineering 02 engineering and technology Lower approximation Topological space Space (mathematics) Set (abstract data type) 0202 electrical engineering electronic engineering information engineering 020201 artificial intelligence & image processing Rough set Upper approximation Mathematics |
| Zdroj: | Journal of the Egyptian Mathematical Society. 26:287-394 |
| ISSN: | 2090-9128 |
| DOI: | 10.21608/joems.2018.2646.1031 |
| Popis: | In this paper, we use the notions of a minimal structure approximation space (short MSAS)and the notion of near open sets to introduce a new approximation of uncertain sets as a mathematicaltool to modify the approximations. Relationships between these types are established via proof andcounter examples. Also, some basic concepts of near approximations set are investigated and studied therelations between these different types of sets in MSAS. This set is a specific importance to help withthe modifications of an approximation space via adding new concepts and facts. Finally, we use thisconcept to introduce the definitions of near lower approximation, near upper approximation, nearboundary region, near rough and near exact sets and study some of the properties of this notion. |
| Databáze: | OpenAIRE |
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