JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE) ›› 2025, Vol. 60 ›› Issue (7): 131-142.doi: 10.6040/j.issn.1671-9352.0.2024.187

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Novel multi-granularity variable precision(*,·)-fuzzy rough set

LI Xinru, LI Lingqiang*, JIA Chengzhao   

  1. Department of Mathematics Science, Liaocheng University, Liaocheng 252000, Shandong, China
  • Published:2025-07-01

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Abstract: A novel variable precision(*,·)-fuzzy rough set is introduced. Combined with the idea of multi-granularity, a multi-granularity variable precision(*,·)-fuzzy rough set is further proposed, which includes three basic models, optimism, pessimism and compromise. The algebraic and topological properties of the model are investigated, and it is proved that the model satisfies the properties of inclusion, idempotency and duality, and can induce fuzzy topology and fuzzy cotopology structure.

Key words: fuzzy rough set, variable precision, multi-granularity, triangular norm

CLC Number: 

  • TP181
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