A New Kernel based Hybrid c-Means Clustering Model

A possibilistic approach was initially proposed for c-means clustering. Although the possibilistic approach is sound, this algorithm tends to find identical clusters. To overcome this shortcoming, a possibilistic fuzzy c-means algorithm (PFCM) was proposed which produced memberships and possibilities simultaneously, along with the cluster centers. PFCM addresses the noise sensitivity defect of fuzzy c-means (FCM) and overcomes the coincident cluster problem of possibilistic c means (PCM). Here we propose a new model called Kernel based hybrid c means clustering (KPFCM) where PFCM is extended by adopting a Kernel induced metric in the data space to replace the original Euclidean norm metric. Numerical examples show that our model gives better results than the previous models.