Multi-Granulation Double Fuzzy Rough Sets

Faculty Of Science

Assiut University

Multi-Granulation Double Fuzzy Rough Sets

Research Authors
A. A. Abdallah, Osama Rashed Sayed, E.El Sanousy, Y.H. Ragheb Sayed, M.N. Abu-shugair, Salahuddin
Research 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 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.
 

Copyright: @ 2023 by the authors. Licensee MDPI, Basel, Switzerland.
This article is an open access article distributed under the terms and conditions of the Creative Commons
Attribution (CC BY) license (https:// creativecommons.org/licenses/by/ 4.0/).
 

Research Date
Research Department
Department of Mathematics
Research File
73-Multi-Granulation Double Fuzzy Rough Sets.pdf
Research Journal
Symmetry
Research Member
Osama Rashed Sayed Ahmed
Research Publisher
MDPI, Basel, Switzerland.
Research Rank
2.7
Research Vol
Special Issue Optimal Control and Symmetry 15, 1926
Research Website
https://doi.org/10.3390/sym15101926
Research Year
(2023)
Research Pages
1-19