Research Article

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

Table 4

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

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

0.1 244.3 ± 128.7 295.7 ± 20.5294.4 ± 149.0 52.1 ± 98.76889.3 ± 96.77880.2 ± 95.80
0.2 280.4 ± 43.59 285.1 ± 30.3985.2 ± 101.593.2 ± 96.18 862.4 ± 97.91849.7 ± 98.14
0.3 277.9 ± 8.212 282.3 ± 14.1176.3 ± 73.26 69.3 ± 78.64873.8 ± 67.97 876.4 ± 69.86
0.4 269.2 ± 2.821 272.6 ± 12.3363.8 ± 19.17 59.0 ± 27.68895.0 ± 17.98825.9 ± 19.50
0.5 275.2 ± 5.827 289.2 ± 15.6481.1 ± 67.07112.9 ± 153.8 871.7 ± 67.63825.9 ± 155.0
0.6 304.7 ± 2.312 305.5 ± 1.5819.90 ± 14.65 9.30 ± 14.96 913.4 ± 15.04913.2 ± 14.98
0.7 302.9 ± 3.755 305.7 ± 1.0595.70 ± 4.423 2.80 ± 2.573919.4 ± 2.413 919.5 ± 1.958
0.8 298.2 ± 1.932 304.8 ± 4.63817.5 ± 4.836 5.70 ± 9.956 912.3 ± 3.713 917.5 ± 5.797
0.9 307 ± 0 307 ± 0 0 ± 0 0 ± 0 921 ± 0 921 ± 0
1.0 307 ± 0 307 ± 0 0 ± 0 0 ± 0 921 ± 0 921 ± 0

Mean values 286.6 ± 19.72 295.5 ± 10.0343.39 ± 43.40 40.43 ± 48.26897.9 ± 36.92892.1 ± 46.11