Multi-Granulation Double Fuzzy Rough Sets

被引：0
|
作者：
Abdallah, A. A. [1 ]
Sayed, O. R. [2 ]
El-Sanousy, E. [3 ]
Sayed, Y. H. Ragheb [3 ,4 ]
Abu-Shugair, M. N. [1 ]
Salahuddin [1 ]
机构：
[1] Jazan Univ, Fac Sci, Dept Math, Jazan 45142, Saudi Arabia
[2] Assiut Univ, Fac Sci, Dept Math, Assiut 71516, Egypt
[3] Sohag Univ, Fac Sci, Dept Math, Sohag 82524, Egypt
[4] Univ Hafr Al Batin, Fac Sci, Dept Math, Hafar Al Batin 39524, Saudi Arabia
来源：
SYMMETRY-BASEL | 2023年 / 15卷 / 10期
关键词：
double fuzzy rough set; optimistic multi-granulation double fuzzy rough set; pessimistic multi-granulation double fuzzy rough set;
D O I：
10.3390/sym15101926
中图分类号：
O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];
学科分类号：
07 ; 0710 ; 09 ;
摘要：
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.
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收藏
页数：19
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