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

Table 3

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

𝛿	(𝑃) rules		(𝐵) rules		(𝑁) rules
	Raw	Reduct	Raw	Reduct	Raw	Reduct
0.1	0 ± 0	1.100 ± 3.478	1134 ± 952.1	1154 ± 848.9	1061 ± 952.1	1041 ± 847.3
0.2	0 ± 0	0.500 ± 1.269	512.4 ± 602.6	534.7 ± 583.3	1683 ± 602.6	1661 ± 582.9
0.3	0 ± 0	0.200 ± 0.426	512.3 ± 715.5	448.8 ± 650.2	1683 ± 715.5	1747 ± 650.1
0.4	0 ± 0	0.000 ± 0.000	878.2 ± 915.9	860.4 ± 822.4	1317 ± 915.9	1335 ± 822.4
0.5	0 ± 0	0.4000 ± 0.699	534.0 ± 703.5	505.9 ± 643.8	1662 ± 703.5	1689 ± 643.5
0.6	0 ± 0	2.000 ± 0.943	688.5 ± 754.3	671.3 ± 779.7	1507 ± 754.3	1522 ± 779.3
0.7	29.20 ± 5.473	33.20 ± 12.35	539.0 ± 522.5	536.0 ± 525.2	1627 ± 522.5	1627 ± 521.6
0.8	139.9 ± 5.953	139.9 ± 5.953	458.6 ± 314.6	458.6 ± 314.6	1597 ± 313.8	1597 ± 313.8
0.9	212.9 ± 9.036	219.9 ± 9.036	292.4 ± 124.3	292.4 ± 124.3	1691 ± 117.7	1691 ± 117.7
1.0	328.2 ± 1.932	328.2 ± 1.932	66.8 ± 24.14	66.8 ± 24.14	1801 ± 23.73	1801 ± 23.73
Mean values	71.02 ± 2.239	71.84 ± 3.608	561.7 ± 562.9	552.8 ± 531.6	1563 ± 562.2	1571 ± 530.3