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Keywords = optimistic multi-granulation double fuzzy rough set

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19 pages, 287 KB  
Article
Multi-Granulation Double Fuzzy Rough Sets
by A. A. Abdallah, O. R. Sayed, E. El-Sanousy, Y. H. Ragheb Sayed, M. N. Abu_Shugair and Salahuddin
Symmetry 2023, 15(10), 1926; https://doi.org/10.3390/sym15101926 - 17 Oct 2023
Cited by 2 | Viewed by 1770
Abstract
In this article, we introduce two new rough set models based on the concept of double fuzzy relations. These models are called optimistic and pessimistic multi-granulation double fuzzy rough sets. We discuss their properties and explore the relationship between these new models and [...] Read more.
In this article, we introduce two new rough set models based on the concept of double fuzzy relations. These models are called optimistic and pessimistic multi-granulation double fuzzy rough sets. We discuss their properties and explore the relationship between these new models and double fuzzy rough sets. Our study focuses on the lower and upper approximations of these models, which generalize the conventional rough set model. In addition, we suggest that the development of the multi-granulation double fuzzy rough set model is significant for the generalization of the rough set model. Full article
(This article belongs to the Special Issue Optimal Control and Symmetry)
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