Matrix-based fast granularity reduction algorithm of multi-granulation rough set

Xu, Yi; Wang, Min; Hu, Shanzhong

doi:10.1007/s10462-022-10276-4

Cited by 3 publications

(1 citation statement)

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“…Multigranulation roughness of crisp set by soft relation and its application were proposed by Shabir et al [28]. Matrix-based fast granularity reduction algorithm of multigranulation rough set were put forth by Xu et al [29]. Chan and Xu [30] proposed the multigranulation rough fuzzy set based on logical operations and application in MCGDM.…”

Section: Introductionmentioning

confidence: 99%

Optimistic multigranulation roughness of fuzzy bipolar soft sets by soft binary relations and its applications

2023

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Two important mathematical methods for addressing uncertainty in data processingare multigranulation rough set (MGRS) and fuzzy bipolar soft set (FBSS). This paper describes acertain kind of multigranulation rough set in the context of multiple soft binary relations. We firstdefine the multigranulation roughness of fuzzy bipolar soft sets in the two universes. Moreover, adetailed study of structural properties has been conducted in order to explore this concept. Thekey characteristics of the traditional MGRS model are completely preserved in this new approach.Following that, we suggest two decision-making algorithms with respect to aftersets and foresets ofthe soft binary relations over dual universes. This approach appears to be better suited and moreadaptable than other available methods, making it a favorable option for addressing decision-makingproblems. Finally, we provide a practical application of the suggested approach to a real-worldproblem.

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Section: Introductionmentioning

confidence: 99%