A comparison of three types of rough fuzzy sets based on two universal sets
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- 作者：M. E. Abd El-Monsef ; M. A. El-Gayar…
- 关键词：Approximation operator ; Inverse serial relation ; Rough fuzzy set ; Strong inverse serial relation
- 刊名：International Journal of Machine Learning and Cybernetics
- 出版年：2017
- 出版时间：February 2017
- 年：2017
- 卷：8
- 期：1
- 页码：343-353
- 全文大小：
- 刊物类别：Engineering
- 刊物主题：Computational Intelligence; Artificial Intelligence (incl. Robotics); Control, Robotics, Mechatronics; Complex Systems; Systems Biology; Pattern Recognition;
- 出版者：Springer Berlin Heidelberg
- ISSN：1868-808X
- 卷排序：8
文摘
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.