Entropy-like Divergence Based Kernel Fuzzy Clustering for Robust Image Segmentation

Gaussian kernel is defined by Euclidean distance and has been widely used in many fields. In the view of Euclidean distance is sensitive to outliers or noise and it is difficult to obtain satisfactory results for complex non-convex data. Entropy-like divergence is firstly induced by combining Jenson-Shannon/Bregman divergence with convex function, and its mercer kernel function called entropy-like divergence-based kernel is also constructed in this paper. Secondly, a new fuzzy weighted factor based on entropy-like divergence-based kernel is proposed by improving the existing trade-off weighting factor of kernel-based fuzzy local information C-means clustering (KWFLICM). In the end, a weighted fuzzy local information clustering based on entropy-like divergence-based kernel (EKWFLICM) is presented, which combines a new weighted fuzzy factor and entropy-like divergence-based kernel. Experiment results show that the proposed algorithm outperforms the segmentation performance of existing state-of-the-art fuzzy clustering-related algorithms for the image in presence of high noise. •An entropy-like divergence and its mercer kernel function are presented.•A novel divergence-based kernel fuzzy clustering is proved to be convergent.•A kernel weighted fuzzy clustering based on entropy-like divergence is constructed.•Proposed algorithm outperforms existing KWFLICM and ILKFCM for image segmentation.