Similarity-driven cluster merging method for unsupervised fuzzy clustering
UAI '04 Proceedings of the 20th conference on Uncertainty in artificial intelligence
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Hotspots detection in spatial analysis via the extended gustafson-kessel algorithm
Advances in Fuzzy Systems - Special issue on Fuzzy Methods and Approximate Reasoning in Geographical Information Systems
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Two extensions to objective function-based fuzzy clustering are proposed. First, the (point) prototypes are extended to hypervolumes, whose size can be fixed or can be determined automatically from the data being clustered. It is shown that clustering with hypervolume prototypes can be formulated as the minimization of an objective function. Second, a heuristic cluster merging step is introduced where the similarity among the clusters is assessed during optimization. Starting with an overestimation of the number of clusters in the data, similar clusters are merged in order to obtain a suitable partitioning. An adaptive threshold for merging is proposed. The extensions proposed are applied to Gustafson-Kessel and fuzzy c-means algorithms, and the resulting extended algorithm is given. The properties of the new algorithm are illustrated by various examples.