An Optimal Classification Method for Biological and Medical Data

Table 4

Centroid points for the Swallow data set by the proposed method.

Rule number	Union of spheres	𝑆𝑡,𝑘	ℎ𝑡,𝑘,1	ℎ𝑡,𝑘,2	ℎ𝑡,𝑘,3	ℎ𝑡,𝑘,4	ℎ𝑡,𝑘,5	ℎ𝑡,𝑘,6	ℎ𝑡,𝑘,7	ℎ𝑡,𝑘,8	𝑟𝑡,𝑘
𝑅1	𝑆1,1∪𝑆1,2 ∪𝑆1,3∪𝑆1,4	𝑆1,1	0.607	0.110	0.806	0.000	0.000	0.406	1.077	1.163	1.780
		𝑆1,2	0.483	0.000	0.236	0.328	0.000	0.793	0.280	0.931	0.948
		𝑆1,3	0.588	0.000	1.179	0.000	0.000	0.653	1.037	0.982	1.879
		𝑆1,4	0.414	0.000	0.658	0.000	0.227	0.085	0.563	1.224	1.197
𝑅2	𝑆2,1∪𝑆2,2 ∪𝑆2,3∪𝑆2,4∪𝑆2,5	𝑆2,1	0.358	0.667	0.371	1.403	0.360	1.530	0.634	0.114	2.825
		𝑆2,2	0.198	1.102	0.697	0.000	0.000	1.734	0.110	0.595	2.632
		𝑆2,3	0.532	0.422	0.323	1.676	1.009	0.000	0.180	0.020	2.458
		𝑆2,4	0.528	0.000	0.430	0.876	0.579	0.461	0.435	0.040	0.694
		𝑆2,5	0.659	1.408	0.516	0.000	0.382	0.000	0.173	0.064	1.570