基于容差关系的加权知识粗糙熵

粗集理论为从信息论角度研究知识粗糙熵和属性约简问题提供了一种重要的途径和方法。本文提出了基于容差关系下的不完备信息系统加权的知识熵和条件熵概念，将等价关系下的粗糙熵自然地推广到不完备信息系统的容差关系情形。本文的结果为在一般二元关系下的知识获取提供了理论依据。

Weighted Rough Entropy Based on Tolerance Relation

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.