首先在常规的Bezdek模糊划分模型的基础上,引入了考虑权重的模糊划分模型;并根据数理统计中的方差分析理论和信息论中的信息熵理论,构建了模糊F统计量、模糊划分熵,F统计量用来确定最佳划分数,模糊划分熵用来检验模糊划分的有效性.最后通过实际算例对这两个函数的判决功能和F统计量的鲁棒性进行了研究.

On the base of normal Bezdek fuzzy division model, the new fuzzy division model considering weights was introduced. According to the theory of difference analysis in statistics and entropy theory in information theory, two functions-F statistics and fuzzy division entropy were constructer, the F statistics was mainly used to determine the optimal division number and the fuzzy division entropy was used to verify the validity of division. At last, a practical example was presented to verify the effective of t...