Construction and application of validity function for fuzzy partition

On the base of normal Bezdek fuzzy partition model, the new fuzzy partition 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 partition entropy were constructed, the F statistics was mainly used to determine the optimal partition number and the fuzzy partition entropy was used to verify the validity of partition. At last, a practical example was presented to verify the effectiveness of the two functions and robust property of F statistics.