Multi-Granulation Double Fuzzy Rough Sets

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.

Automated summary

In this article, two new rough set models, optimistic and pessimistic multi-granulation double fuzzy rough sets, based on the concept of double fuzzy relations, are introduced and discussed. The study focuses on the lower and upper approximations, which generalize the conventional rough set model. The development of the multi-granulation double fuzzy rough set model is suggested to be significant for the generalization of the rough set model.