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

Table 9

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

𝛿	Approximation qualities		Run times (s)
	Algorithm 1	Algorithm 2	Algorithm 1	Algorithm 2
0.1	0.4257 ± 0.0000	0.2644 ± 0.2690	0.0938 ± 0.0163	4.2872 ± 0.4856
0.2	0.4257 ± 0.0000	0.2911 ± 0.3063	0.0915 ± 0.0053	4.4342 ± 0.1583
0.3	0.4257 ± 0.0000	0.3762 ± 0.2777	0.0961 ± 0.0032	4.7973 ± 0.4250
0.4	0.4257 ± 0.0000	0.3257 ± 0.2638	0.0877 ± 0.0065	4.4749 ± 0.4790
0.5	0.0257 ± 0.0337	0.3277 ± 0.3271	0.2077 ± 0.1580	4.1559 ± 0.3482
0.6	0.3614 ± 0.0365	0.7129 ± 0.0417	0.3875 ± 0.0067	4.4908 ± 0.5544
0.7	0.6683 ± 0.0857	0.8554 ± 0.0896	0.3477 ± 0.0757	5.2780 ± 1.1886
0.8	0.7792 ± 0.0871	0.9564 ± 0.0344	0.3747 ± 0.0244	6.6658 ± 1.6919
0.9	0.9406 ± 0.0000	1.0000 ± 0.0000	0.3857 ± 0.0048	6.4638 ± 1.4479
1.0	1.0000 ± 0.0000	1.0000 ± 0.0000	0.3799 ± 0.0143	6.5578 ± 1.8033
Mean values	0.5478 ± 0.0243	0.6110 ± 0.1610	0.2452 ± 0.0315	5.1806 ± 0.8582