Fuzzy rough set models over two universes

被引:0
|
作者
Weihua Xu
Wenxin Sun
Yufeng Liu
Wenxiu Zhang
机构
[1] Chongqing University of Technology,School of Mathematics and Statistics
[2] School of Science,undefined
[3] Xi’an Jiaotong University,undefined
关键词
Rough set; Two universes; Fuzzy relation; Fuzzy approximation space; Measure;
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学科分类号
摘要
The extension of rough set model is an important research direction in rough set theory. The aim of this paper is to present new extensions of the rough set model over two different universes which are rough fuzzy set model in a generalized approximation space, rough set model in a fuzzy approximation space and rough fuzzy set model in a fuzzy approximation space based over two different universes. Moreover, the properties of the approximation operators in these models are investigated. Furthermore, by employing cut set of fuzzy set and fuzzy relation, classical representations of fuzzy rough approximation operators are studied. Finally, the measures of fuzzy rough set models are presented, and the relationships among the fuzzy rough models and rough set model over two universes are investigated.
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页码:631 / 645
页数:14
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