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A novel model of fuzzy clustering using kernel methods is proposed.This model is called kernel modified possibilistic c-means (KMPCM) model.The proposed model is an extension of the modified possibilistic c-means (MPCM) algorithm by using kernel methods.Different from MPCM and fuzzy c-means (FCM) model which are based on Euclidean distance,the proposed model is based on kernel-induced distance.Furthermore,with kernel methods the input data can be mapped implicitly into a high-dimensional feature space where the nonlinear pattern now appears linear.It is unnecessary to do calculation in the high-dimensional feature space because the kernel function can do it.Numerical experiments show that KMPCM outperforms FCM and MPCM.
A novel model of fuzzy clustering using kernel methods is proposed. This model is called kernel modified possibilistic c-means (KMPCM) model. The proposed model is an extension of the modified possibilistic c-means (MPCM) algorithm by using kernel methods. Different from MPCM and fuzzy c-means (FCM) model which are based on Euclidean distance, the proposed model is based on kernel-induced distance.Furthermore, with kernel methods the input data can be mapped implicitly into a high-dimensional feature space where the nonlinear pattern now appears linear. It is unnecessary to do calculation in the high-dimensional feature space because the kernel function can do it. Numerical experiments show that KMPCM outperforms FCM and MPCM.