Collaborative fuzzy clustering algorithm: Some refinements

Since the inception of the concept of collaborative fuzzy clustering (CFC), many related ideas and algorithms have been proposed. In this study, we offer a synthetic view of this body of knowledge. We further concentrate on the horizontal version of the CFC algorithm being regarded as one of the major branches of the CFC. Our intent is to address the following three open questions: (a) assessing the necessity of reordering partition matrices prior to invoking the collaboration process; (b) analyzing the impact of linkage strengths on the performance of the clustering results; and (c) forming a representative global data structure with the use of the concept of information granules leading to so-called granular partition matrices. A collection of experimental studies is provided to quantify the underlying concepts and algorithms.