Research Article

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

Table 2

The decision rules between raw data and decision-monotonicity criterion based reducts (Annealing).

( ) rules ( ) rules ( ) rules
Raw Reduct Raw Reduct Raw Reduct

0.1 319.2 ± 412.1 650.4 ± 311.2558.6 ± 385.5 221.4 ± 356.53112 ± 252.3 3118 ± 233.4
0.2 399 ± 420.6 650.4 ± 311.21117 ± 1077 590.4 ± 582.12473 ± 878.2 2749 ± 516.0
0.3 399 ± 420.6 576.6 ± 356.5638.4 ± 733.3 442.8 ± 622.32952 ± 757.0 2971 ± 498.1
0.4 638.4 ± 336.5 724.2 ± 336.5159.6 ± 336.5 73.80 ± 233.43192 ± 0.000 3192 ± 0.000
0.5 239.4 ± 385.5 429.0 ± 388.9638.4 ± 504.7 442.8 ± 516.03112 ± 252.3 3118 ± 233.4
0.6 319.2 ± 412.1 583.4 ± 346.6 798.0 ± 995.3 503.6 ± 947.52873 ± 770.9 2903 ± 686.7
0.7 363.5 ± 384.7 523.7 ± 310.4611.3 ± 519.9 438.2 ± 480.23015 ± 335.2 3028 ± 307.4
0.8 379.3 ± 312.8 648.9 ± 221.6729.8 ± 592.7 437.9 ± 638.32881 ± 417.8 2903 ± 519.3
0.9 713.2 ± 34.81 727.5 ± 52.72 161.1 ± 54.24 119.4 ± 96.12 3116 ± 39.46 3143 ± 50.72
1.0 798 ± 0 798 ± 0 0 ± 0 0 ± 0 3192 ± 0 3118 ± 0

Mean values 456.8 ± 311.9 631.2 ± 253.2541.2 ± 519.9 334.4 ± 470.6 2992 ± 370.4 3024 ± 327.8