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Table 1.

Summary of literature review on K-means hybridization with metaheuristic algorithms.

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Fig 1.

Proposed hybrid SOSK-means clustering algorithm.

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Table 2.

Initial parameter setting for classical SOS, classical K-means and proposed hybrid SOSK-means.

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Table 3.

Initial parameter setting for the compared algorithms.

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Table 4.

Dataset characteristics.

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Table 5.

SOSK-means results in over forty independent runs with DB and CS validity indices as the fitness function.

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Fig 2.

The mean run time achieved by SOSK-means on DB and CS measures over forty independent runs for the twelve datasets.

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Table 6.

SOSK-means compared with SOS and K-means for forty replications.

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Table 7.

SOSK-means results compared with results from existing algorithms in the literature.

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Table 8.

The Friedman means rank test results for the SOS, K-means and hybrid SOSK-means algorithms.

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Table 9.

Wilcoxon rank-sum test for equal medians showing corresponding p-values.

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Fig 3.

Clustering illustration of hybrid SOSK-means for the listed datasets using DB-Index.

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Fig 4.

Clustering illustration of hybrid SOSK-means for the listed datasets using CS-Index.

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