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In this paper, we propose a Fuzzy Kernel C-Means clustering algorithm (FKCM) which based conventional Fuzzy C-Means clustering algorithm (FCM). This new FKCM alforithm integrates FCM with Mercer kernel function and deals with some issues in fuzzy clustering. The properties of the new algorithms are illustrated the the FKCM algorithm is not only suitable for clusters with the spherical shape, but also other non-spherical shapes such as annular ring shape effectively.