θβ-ideal approximation spaces and their applications

被引：24
作者：
Nawar, Ashraf S. [1 ]
El-Gayar, Mostafa A. [2 ]
El-Bably, Mostafa K. [3 ]
Hosny, Rodyna A. [4 ]
机构：
[1] Menoufia Univ, Fac Sci, Dept Math & Comp Sci, Menoufia, Egypt
[2] Helwan Univ, Fac Sci, Dept Math, Helwan, Egypt
[3] Tanta Univ, Fac Sci, Dept Math, Tanta, Egypt
[4] Zagazig Univ, Fac Sci, Dept Math, Zagazig, Egypt
来源：
AIMS MATHEMATICS | 2022年 / 7卷 / 02期
关键词：
rough sets; topology; j -neighborhood spaces; j -near open sets; theta beta(j) -open sets an theta beta(j)-ideal approximations; ROUGH SETS; DECISION;
D O I：
10.3934/math.2022139
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The essential aim of the current work is to enhance the application aspects of Pawlak rough sets. Using the notion of a j-neighborhood space and the related concept of theta beta-open sets, different methods for generalizing Pawlak rough sets are proposed and their characteristics will be examined. Moreover, in the context of ideal notion, novel generalizations of Pawlak's models and some of their generalizations are presented. Comparisons between the suggested methods and the previous approximations are calculated. Finally, an application from real-life problems is proposed to explain the importance of our decision-making methods.
引用
收藏
页码：2479 / 2497
页数：19
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