信息熵在粗糙集中衍生的几个概念

随着对粗糙集理论研究的的深入，基于信息论的信息熵陆续被引入到粗糙集研究中，陆续产生了一些如条件熵、联合熵、知识熵、决策熵、知识粗糙熵、粗集粗糙熵等新的概念，尽管丰富了粗糙集理论和应用，但使用中存在语义不统一的地方，甚至缺乏必要的说明和证明。对这些有价值的新概念作了系统的、严格的、规范的定义及阐述，给出了它们的公式表示，同时，通过相关熵的运算揭示彼此间的关系，最后指出这些熵的应用范畴，以便研究人员在清楚概念的基础上作进一步研究。

Several Concepts from Information Entropy in Rough Sets

With the development of rough sets theory,entropy based on information theory has been applying to the studying.Some created concepts such as condition entropy,joint entropy,knowledge entropy,decision entropy,knowledge cough entropy and cough-sets cough entropy enrich rough sets' theory,however,the denotations are not clear,and even lacking of the necessary explanations and proofs.These valuable new concepts are explained scientifically and the mutual relations of them are revealed through operating in this paper.Based on it,researchers work conveniently for further studying.