Research Article

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

Table 5

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

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

0.1 0 ± 0 43 ± 0141.4 ± 70.62 69.60 ± 59.90 565.6 ± 70.72 594.4 ± 59.90
0.2 0 ± 0 43 ± 0153 ± 55.23 116 ± 66.97 554 ± 55.23 548 ± 66.97
0.3 0 ± 0 43 ± 0210.7 ± 197.1 131 ± 127.1 496.3 ± 197.1 532.1 ± 127.1
0.4 0 ± 0 43 ± 0246.3 ± 216.9 163.7 ± 158.5 460.7 ± 216.9 500.3 ± 158.5
0.5 1.9 ± 3.143 2.6 ± 3.406178.6 ± 173.9 167.8 ± 126.4 526.5 ± 174.1 536.6 ± 124.3
0.6 36.5 ± 3.689 36.5 ± 3.689 102.4 ± 68.08 102.4 ± 68.08 568.1 ± 69.54 568.1 ± 69.54
0.7 66.2 ± 8.377 67.5 ± 8.65766.6 ± 39.14 62.60 ± 43.91 574.2 ± 38.29 576.9 ± 41.53
0.8 78.7 ± 8.795 78.7 ± 8.795 46.3 ± 20.95 46.30 ± 20.95 582 ± 15.24 582 ± 15.24
0.9 95.0 ± 0 95.0 ± 0 11.40 ± 0.9661 11.40 ± 0.9661 600.6 ± 0.9661 600.6 ± 0.9661
1.0 101 ± 0 101 ± 0 0 ± 0 0 ± 0 606 ± 0 606 ± 0

Mean values 37.93 ± 2.40 55.33 ± 2.45115.7 ± 84.28 87.17 ± 67.28 553.4 ± 83.80 564.5 ± 66.39