δ-Cut Decision-Theoretic Rough Set Approach: Model and Attribute Reductions

Table 7

The comparison between decision-monotonicity criterion based reducts and cost based reducts (Dermatology).

𝛿	Approximation qualities		Run times (s)
	Algorithm 1	Algorithm 2	Algorithm 1	Algorithm 2
0.1	0.0030 ± 0.0095	0.0913 ± 0.1191	2.524 ± 0.9840	60.14 ± 12.11
0.2	0.0014 ± 0.0035	0.1795 ± 0.0996	3.531 ± 2.9403	47.88 ± 14.01
0.3	0.0005 ± 0.0012	0.2197 ± 0.0345	4.444 ± 4.6011	42.23 ± 3.884
0.4	0.0000 ± 0.0000	0.2128 ± 0.0283	2.183 ± 0.1003	43.43 ± 3.094
0.5	0.0011 ± 0.0019	0.2014 ± 0.0166	6.589 ± 7.1960	42.18 ± 3.991
0.6	0.0055 ± 0.0026	0.3954 ± 0.1061	18.14 ± 0.2819	46.62 ± 6.518
0.7	0.0907 ± 0.0338	0.5462 ± 0.0488	17.71 ± 0.1935	44.46 ± 5.502
0.8	0.3822 ± 0.0163	0.5402 ± 0.0680	16.13 ± 0.7679	49.32 ± 6.926
0.9	0.5817 ± 0.0247	0.7533 ± 0.0358	13.91 ± 0.1070	51.12 ± 10.22
1.0	0.8967 ± 0.0053	0.8975 ± 0.0053	13.36 ± 0.0263	58.57 ± 2.361
Mean values	0.1963 ± 0.0099	0.4037 ± 0.0562	9.853 ± 1.719	48.80 ± 6.863