Please use this identifier to cite or link to this item: http://hdl.handle.net/123456789/30211
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dc.contributor.authorJamal Ud Din-
dc.date.accessioned2024-12-13T05:13:02Z-
dc.date.available2024-12-13T05:13:02Z-
dc.date.issued2024-
dc.identifier.urihttp://hdl.handle.net/123456789/30211-
dc.description.abstractThe 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).en_US
dc.language.isoenen_US
dc.publisherQuaid I Azam University Islamabaden_US
dc.subjectMathematicsen_US
dc.titleSome Contributions to Multi-Granulation Rough Sets Over Dual Universes and its Applicationsen_US
dc.typeThesisen_US
Appears in Collections:Ph.D

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