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http://hdl.handle.net/123456789/30211| Title: | Some Contributions to Multi-Granulation Rough Sets Over Dual Universes and its Applications |
| Authors: | Jamal Ud Din |
| Keywords: | Mathematics |
| Issue Date: | 2024 |
| Publisher: | Quaid I Azam University Islamabad |
| Abstract: | The thesis is based on the following research papers. 1. Pessimistic Multigranulation Roughness of a Fuzzy Set Based on Soft Binary Relations over Dual Universes and Its Application. Mathematics 2022, 10, 541. 2. A novel pessimistic multigranulation roughness by soft relations over dual universe. AIMS Mathematics, 2023, 8(4): 7881-7898. 3. Optimistic multigranulation roughness of a fuzzy set based on soft binary relations over dual universes and its application. AIMS Mathematics, 8(5), 10303-10328. 4. Multgranulation roughness of a soft set over dual universes. (Under review) 5. Approximation of fuzzy soft set by soft binary relation. (Submitted) 6. Optimistic Multigranulation roughness of fuzzy soft set by soft binary relations. (Sub- mitted). |
| URI: | http://hdl.handle.net/123456789/30211 |
| Appears in Collections: | Ph.D |
Files in This Item:
| File | Description | Size | Format | |
|---|---|---|---|---|
| MAT 2027.pdf | MAT 2027 | 1.81 MB | Adobe PDF | View/Open |
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