On-Line Evolving Fuzzy Clustering

In this paper, a novel on-line evolving fuzzy clustering method that extends the evolving clustering method (ECM) of Kasabov and Song (2002) is presented, called EFCM. Since it is an on-line algorithm, the fuzzy membership matrix of the data is updated whenever the existing cluster expands, or a new cluster is formed. EFCM does not need the numbers of the clusters to be pre-defined. The algorithm is tested on several benchmark data sets, such as Iris, Wine, Glass, E-Coli, Yeast and Italian Olive oils. EFCM results in the least objective function value compared to the ECM and Fuzzy C-Means. It is significantly faster (by several orders of magnitude) than any of the off-line batch-mode clustering algorithms. A methodology is also proposed for using the Xie-Beni cluster validity measure to optimize the number of clusters.