摘要：Fuzzy entropy was designed for non convex fuzzy membership function using well known Hamming distance *** proposed fuzzy entropy had the same structure as that of convex fuzzy membership *** procedure of fuzzy entropy was proposed by considering fuzzy membership through distance measure,and the obtained results contained more flexibility than the general fuzzy membership ***,characteristic analyses for non convex function were also *** on the mutual information were carried out through the proposed fuzzy entropy and similarity measure,which was also dual structure of fuzzy *** the illustrative example,mutual information was discussed.