中文摘要：

基于模糊信息论给出了新定义的似然函数和模糊交互熵的概念,并对新定义的似然函数和模糊交互熵性质进行研究。通过E＇取最大、P取最小确定最优划分,从而得到一种改进的基于模糊信息理论的信息分类方法,为聚类分析增加了一种新的数学方法。

英文摘要：

New concepts of the likelihood function and the fuzzy alternation entropy are given based on fuzzy information theory, and their properties are discussed. An improved cluster analysis method based on fuzzy information theory is given by maximizing E＇ and minimizing P.