Construction and Application of Validity Function for Fuzzy Division
模糊划分有效性函数的构建与应用

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 the two functions and robust property of F statistics.