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 ± 311.2 | 558.6 ± 385.5 | 221.4 ± 356.5 | 3112 ± 252.3 | 3118 ± 233.4 | 0.2 | 399 ± 420.6 | 650.4 ± 311.2 | 1117 ± 1077 | 590.4 ± 582.1 | 2473 ± 878.2 | 2749 ± 516.0 | 0.3 | 399 ± 420.6 | 576.6 ± 356.5 | 638.4 ± 733.3 | 442.8 ± 622.3 | 2952 ± 757.0 | 2971 ± 498.1 | 0.4 | 638.4 ± 336.5 | 724.2 ± 336.5 | 159.6 ± 336.5 | 73.80 ± 233.4 | 3192 ± 0.000 | 3192 ± 0.000 | 0.5 | 239.4 ± 385.5 | 429.0 ± 388.9 | 638.4 ± 504.7 | 442.8 ± 516.0 | 3112 ± 252.3 | 3118 ± 233.4 | 0.6 | 319.2 ± 412.1 | 583.4 ± 346.6 | 798.0 ± 995.3 | 503.6 ± 947.5 | 2873 ± 770.9 | 2903 ± 686.7 | 0.7 | 363.5 ± 384.7 | 523.7 ± 310.4 | 611.3 ± 519.9 | 438.2 ± 480.2 | 3015 ± 335.2 | 3028 ± 307.4 | 0.8 | 379.3 ± 312.8 | 648.9 ± 221.6 | 729.8 ± 592.7 | 437.9 ± 638.3 | 2881 ± 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 ± 253.2 | 541.2 ± 519.9 | 334.4 ± 470.6 | 2992 ± 370.4 | 3024 ± 327.8 |
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