Preprint Article Version 1 Preserved in Portico This version is not peer-reviewed

Multi-granulation double fuzzy rough sets

Version 1 : Received: 11 September 2023 / Approved: 13 September 2023 / Online: 13 September 2023 (10:32:52 CEST)

A peer-reviewed article of this Preprint also exists.

Abdallah, A.A.; Sayed, O.R.; El-Sanousy, E.; Ragheb Sayed, Y.H.; Abu_Shugair, M.N.; Salahuddin. Multi-Granulation Double Fuzzy Rough Sets. Symmetry 2023, 15, 1926. Abdallah, A.A.; Sayed, O.R.; El-Sanousy, E.; Ragheb Sayed, Y.H.; Abu_Shugair, M.N.; Salahuddin. Multi-Granulation Double Fuzzy Rough Sets. Symmetry 2023, 15, 1926.

Abstract

Based on the definition of double fuzzy relations, two types of new rough set models are constructed, which are multi-granulation double fuzzy rough sets called optimistic and pessimistic multi-granulation double fuzzy rough sets, and some of their properties were studied. In addition, we study the relationship between optimistic and pessimistic multi-granulation double fuzzy rough sets and double fuzzy rough sets.

Keywords

double fuzzy rough set; optimistic multi-granulation double fuzzy rough set; pessimistic multi-granulation double fuzzy rough set

Subject

Computer Science and Mathematics, Mathematics

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