Multi-Granulation Double Fuzzy Rough Sets-Reference-Cited by-同舟云学术

Multi-Granulation Double Fuzzy Rough Sets

Published:2023-10-17 Issue:10 Volume:15 Page:1926
ISSN:2073-8994
Container-title:Symmetry
language:en
Short-container-title:Symmetry

Author:

Abdallah A. A.¹,Sayed O. R.²,El-Sanousy E.³,Ragheb Sayed Y. H.³⁴^ORCID,Abu_Shugair M. N.¹,Salahuddin Salahuddin¹

Affiliation:

1. Department of Mathematics, Faculty of Science, Jazan University, Jazan 45142, Saudi Arabia

2. Department of Mathematics, Faculty of Science, Assiut University, Assiut 71516, Egypt

3. Department of Mathematics, Faculty of Science, Sohag University, Sohag 82524, Egypt

4. Department of Mathematics, Faculty of Science, University of Hafr Al Batin, Hafar Al Batin 39524, Saudi Arabia

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.

Publisher

MDPI AG

Subject

Physics and Astronomy (miscellaneous),General Mathematics,Chemistry (miscellaneous),Computer Science (miscellaneous)

Link

https://www.mdpi.com/2073-8994/15/10/1926/pdf

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