关键词: 模糊加权指数, 模糊C均值, 聚类有效性, 模糊相关度

Abstract: In the process of minimization Fuzzy C-Means (FCM) clustering objective function, to solve the problem of lacking theoretical foundation and effective evaluation methodology in determining fuzzy weighted exponent "m" at present, a fuzzy weighted exponent algorithm based on fuzzy relevance was put forward. Firstly, valid function was defined based on Fuzzy relevance, then the validity of FCM clustering was calculated by Gauss iteration and its result was returned to the change of fuzzy weighted exponent, the fuzzy weighted exponent "m" will be converged to a stable optimum resolution. This algorithm is proved to be effective by theoretical analysis and experiments, and the weighted exponent "m" got from this algorithm conforms to prospective result.

Key words: fuzzy weighting exponent, Fuzzy C-Means （FCM）, clustering validity, fuzzy relevance