Generalized approximation of substructures in quantales by soft relations
| Autor: | Saqib Mazher Qurashi, Muhammad Shabir, Rani Sumaira Kanwal |
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| Rok vydání: | 2019 |
| Předmět: |
Computer science
Binary relation Algebraic structure Applied Mathematics Quantale Context (language use) 010103 numerical & computational mathematics 02 engineering and technology 01 natural sciences Algebra Computational Mathematics 0202 electrical engineering electronic engineering information engineering 020201 artificial intelligence & image processing Rough set 0101 mathematics Algebraic number |
| Zdroj: | Computational and Applied Mathematics. 39 |
| ISSN: | 1807-0302 2238-3603 |
| DOI: | 10.1007/s40314-019-1001-7 |
| Popis: | The present work is conducted to investigate the relationship among rough sets, soft sets and quantales. The concept of generalized approximation of substructures in quantales by soft relations is introduced, which is an extended notion of a rough quantale and a soft quantale. This paper is focused on studying the rough sets within the context of algebraic structure quantale using soft reflexive and soft compatible relations. Further, we put forward the concepts of aftersets and foresets, which provide a new research idea for soft rough algebraic research. Some basic concepts, operations and related properties with regard to soft binary relations are proposed. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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