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

Table 6

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

𝛿	Approximation qualities		Run times (s)
	Algorithm 1	Algorithm 2	Algorithm 1	Algorithm 2
0.1	0.8150 ± 0.3899	0.4000 ± 0.5164	12.43 ± 0.3997	311.3 ± 25.18
0.2	0.8150 ± 0.3899	0.6401 ± 0.3762	12.11 ± 0.0070	261.8 ± 63.63
0.3	0.7226 ± 0.4467	0.6855 ± 0.2790	12.12 ± 0.0143	186.5 ± 26.66
0.4	0.9075 ± 0.2925	0.8397 ± 0.1122	12.12 ± 0.0190	205.6 ± 22.68
0.5	0.5376 ± 0.4874	0.7153 ± 0.1350	12.12 ± 0.0076	223.3 ± 29.21
0.6	0.7311 ± 0.4343	0.8429 ± 0.0509	36.03 ± 39.38	200.2 ± 8.255
0.7	0.6563 ± 0.3890	0.9244 ± 0.0368	43.91 ± 40.84	209.6 ± 40.87
0.8	0.8132 ± 0.2777	0.9754 ± 0.0070	50.46 ± 42.55	270.1 ± 67.62
0.9	0.9117 ± 0.0661	0.9984 ± 0.0021	53.12 ± 36.45	359.5 ± 106.0
1.0	1.0000 ± 0.0000	1.0000 ± 0.0000	25.94 ± 32.02	389.1 ± 129.9
Mean values	0.7910 ± 0.3174	0.8022 ± 0.1516	27.04 ± 19.17	261.7 ± 52.00