MvWECM: Multi-view Weighted Evidential C-Means clustering

Traditional multi-view clustering algorithms, designed to produce hard or fuzzy partitions, often neglect the inherent ambiguity and uncertainty in the cluster assignment of objects. This oversight may lead to performance degradation. To address these issues, this paper introduces a novel multi-view clustering method, termed MvWECM, capable of generating credal partitions within the framework of belief functions. The objective function of MvWECM is introduced considering the uncertainty in the cluster structure included in the multi-view dataset. We take into account inter-view conflict to effectively leverage coherent information across different views. Moreover, the effectiveness is heightened through the incorporation of adaptive view weights, which are customized to modulate their smoothness in accordance with their entropy. The optimization method to get the optimal credal membership and class prototypes is derived. The view wights can be also provided as a by-product. Experimental results on several real-word datasets demonstrate the effectiveness and superiority of MvWECM by comparing with some state-of-the-art methods.