A comparison of three types of rough fuzzy sets based on two universal sets

被引：30

作者：

Abd El-Monsef, M. E. ^{[1
]}

El-Gayar, M. A. ^{[2
]}

Aqeel, R. M. ^{[1
]}

机构：

[1] Tanta Univ, Dept Math, Fac Sci, Tanta, Egypt

[2] Helwan Univ, Fac Sci, Dept Math, Cairo, Egypt

来源：

INTERNATIONAL JOURNAL OF MACHINE LEARNING AND CYBERNETICS | 2017年 / 8卷 / 01期

关键词：

Approximation operator; Inverse serial relation; Rough fuzzy set; Strong inverse serial relation; APPROXIMATION; UNCERTAINTY; MODEL;

D O I：

10.1007/s13042-015-0327-8

中图分类号：

TP18 [人工智能理论];

学科分类号：

081104 ; 0812 ; 0835 ; 1405 ;

摘要：

The extension of rough set model is an important research direction in rough set theory. This paper presents two new extensions of the rough set model over two different universes. By means of a binary relation between two universes of discourse, two pairs of rough fuzzy approximation operators are proposed. These models guarantee that the approximating sets and the approximated sets are on the same universes of discourse. Furthermore, some interesting properties are investigated, the connections between relations and rough fuzzy approximation operators are examined. Finally, the connections of these approximation operators are made, and conditions under which these approximation operators made equivalent are obtained.

引用

页码：343 / 353

页数：11