基于限制容差关系的加权信息熵

信息论观点是利用粗集理论研究信息系统性质的一种重要途径和方法。从信息论角度研究不完备信息系统的属性约简问题。在仔细分析完备信息系统的信息熵概念的本质之后,通过引入权数,研究了基于限制容差关系的不完备信息系统加权信息熵和条件熵问题。还提出了基于一般的集值函数的信息系统加权信息熵和条件熵概念。所得结果为在一般二元关系下的信息和决策表的知识获取提供了理论依据。

Weighted information entropy based on tolerance relation

Viewpoint of information theory is an important approach to research the information system by use of rough sets theory.This paper study attributes reduction of incomplete information systems from information theory viewpoint.In this paper,through detailed analysis to information entropy concept of complete information systems,weighted information entropy and weighted conditional entropy of incomplete information system based on limited tolerance relation are studied,which is naturally genealization of rough entropy conept of complete information systems based on equivalence relations.And weighted infromation entropy and weighted conditional entropy of information system based on set-value function is presented also.The results of this paper provides theory basis for knowledge acquisition of information systems and decision table based on general binary relation.