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Weighted Rough Entropy Based on Tolerance Relation
基于容差关系的加权知识粗糙熵

Keywords: Tolerance relation,Equivalence relation,Rough entropy,Attribute reduction
容差关系
,等价关系,加权粗糙熵,属性约简

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Abstract:

The rough theory provides an important approach for the research of knowledge entropy and attribute reduction from information theory pointveiw. In this paper, the concepts of weighted rough entropy and conditional entropy of incomplete information system based on tolerance relation are presented, which is the genealization of rough entropy conept of complete information systems based on equivalence relations, and some properties are proved in the mean time. The results of this paper provide theory basis for knowledge acquisition in information systems based on general binary relation.

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