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Table 4

Selection of the optimum cluster number based on different indexes

Number of clusters (k)
IndexRule2345678910
Calinski Harabasz (*105Min 1.9 2.4 2.25 1.3 1.2 2.8 3.5 
Dunn Max. 2.8 1.8 1.45 0.67 2.7 0.5 0.3 
Davies Bouldin Min. 0.58 0.57 0.66 0.62 0.56 0.46 0.65 0.6 0.5 
Silhouette Max. 0.63 0.62 0.56 0.54 0.66 0.7 0.49 0.62 0.61 
Number of clusters (k)
IndexRule2345678910
Calinski Harabasz (*105Min 1.9 2.4 2.25 1.3 1.2 2.8 3.5 
Dunn Max. 2.8 1.8 1.45 0.67 2.7 0.5 0.3 
Davies Bouldin Min. 0.58 0.57 0.66 0.62 0.56 0.46 0.65 0.6 0.5 
Silhouette Max. 0.63 0.62 0.56 0.54 0.66 0.7 0.49 0.62 0.61 

Best values are shown in bold italics.

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