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<p><b>Abstract</b>—Fuzzy K-means clustering can be applied to the automatic identification of sets in discontinuity data after suitable adaptation of the algorithm. To establish the number of clusters in a data set, modified versions of the validity measures of Gath and Geva, Xie-Beni and Fukuyama-Sugeno are presented in this paper.</p>
Fuzzy cluster analysis, cluster analysis, cluster validity index, cluster performance measure, cluster validity indices, cluster performance measures, discontinuities, orientations, spherical data, directional data.

J. H. Curran and R. E. Hammah, "Validity Measures for the Fuzzy Cluster Analysis of Orientations," in IEEE Transactions on Pattern Analysis & Machine Intelligence, vol. 22, no. , pp. 1467-1472, 2000.
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