Abstract
The fuzzy c-means algorithm (FCM) is proved to converge to either local minimum or saddle point by Bezdek et al.(1987). However, it is problematical to judge the local minimum of a solution of the FCM in an easy way. In this paper, the Hessian matrix of one reduced objective function of the FCM is obtained and analyzed. Based on this study, a new optimality test of fixed points of the FCM is given, and its efficacy is verified by the examples in the paper. Moreover, a new stopping criterion for the FCM is also proposed.
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Authors
Jian Jun YuHoukuan HuangShengfeng Tian
Topics
Metaheuristic Optimization Algorithms ResearchNeural Networks and ApplicationsFuzzy Logic and Control Systems
About
PublishedJun 25, 2003
Citations18
References13