A novel pessimistic multigranulation roughness by soft relations over dual universe
A multigranulation rough set over two universes delivers a unique perspective on the combination of multigranulation information. This paper presents the pessimistic multignualtion rough set over dual universes based on soft binary relations. Firstly, a new pessimistic multigranualtion rough set ove...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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AIMS Press
2023-01-01
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| Series: | AIMS Mathematics |
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| Online Access: | https://www.aimspress.com/article/doi/10.3934/math.2023397?viewType=HTML |
| _version_ | 1811163537288986624 |
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| author | Jamalud Din Muhammad Shabir Samir Brahim Belhaouari |
| author_facet | Jamalud Din Muhammad Shabir Samir Brahim Belhaouari |
| author_sort | Jamalud Din |
| collection | DOAJ |
| description | A multigranulation rough set over two universes delivers a unique perspective on the combination of multigranulation information. This paper presents the pessimistic multignualtion rough set over dual universes based on soft binary relations. Firstly, a new pessimistic multigranualtion rough set over dual universes based on two soft binary relations has been developed, and their properties are derived. Then we extend this idea and present pessimistic multigranulation roughness over dual universes based on the finite number of soft binary relations. Finally, we present an example to illustrate our proposed multigranualtion rough set model. |
| first_indexed | 2024-04-10T15:06:49Z |
| format | Article |
| id | doaj.art-cb1d42637f964892beb5d3b3a97e9d9a |
| institution | Directory Open Access Journal |
| issn | 2473-6988 |
| language | English |
| last_indexed | 2024-04-10T15:06:49Z |
| publishDate | 2023-01-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | AIMS Mathematics |
| spelling | doaj.art-cb1d42637f964892beb5d3b3a97e9d9a2023-02-15T01:00:57ZengAIMS PressAIMS Mathematics2473-69882023-01-01847881789810.3934/math.2023397A novel pessimistic multigranulation roughness by soft relations over dual universeJamalud Din0Muhammad Shabir1Samir Brahim Belhaouari21. Department of Mathematics, Quaid-I-Azam University Islamabad, 44230, Pakistan1. Department of Mathematics, Quaid-I-Azam University Islamabad, 44230, Pakistan2. Division of Information and Computing Technology, College of Science and Engineering, Hamad Bin Khalifa University, Doha, QatarA multigranulation rough set over two universes delivers a unique perspective on the combination of multigranulation information. This paper presents the pessimistic multignualtion rough set over dual universes based on soft binary relations. Firstly, a new pessimistic multigranualtion rough set over dual universes based on two soft binary relations has been developed, and their properties are derived. Then we extend this idea and present pessimistic multigranulation roughness over dual universes based on the finite number of soft binary relations. Finally, we present an example to illustrate our proposed multigranualtion rough set model.https://www.aimspress.com/article/doi/10.3934/math.2023397?viewType=HTMLrough setsoft setmultigranulation rough setsoft relation and approximation by soft binary relation |
| spellingShingle | Jamalud Din Muhammad Shabir Samir Brahim Belhaouari A novel pessimistic multigranulation roughness by soft relations over dual universe AIMS Mathematics rough set soft set multigranulation rough set soft relation and approximation by soft binary relation |
| title | A novel pessimistic multigranulation roughness by soft relations over dual universe |
| title_full | A novel pessimistic multigranulation roughness by soft relations over dual universe |
| title_fullStr | A novel pessimistic multigranulation roughness by soft relations over dual universe |
| title_full_unstemmed | A novel pessimistic multigranulation roughness by soft relations over dual universe |
| title_short | A novel pessimistic multigranulation roughness by soft relations over dual universe |
| title_sort | novel pessimistic multigranulation roughness by soft relations over dual universe |
| topic | rough set soft set multigranulation rough set soft relation and approximation by soft binary relation |
| url | https://www.aimspress.com/article/doi/10.3934/math.2023397?viewType=HTML |
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