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

Table 8

The comparison between decision-monotonicity criterion based reducts and cost based reducts (Soybean).

𝛿	Approximation qualities		Run times (s)
	Algorithm 1	Algorithm 2	Algorithm 1	Algorithm 2
0.1	0.9632 ± 0.0669	0.9013 ± 0.0584	6.976 ± 3.1845	22.13 ± 4.443
0.2	0.9287 ± 0.0990	0.9459 ± 0.0691	7.672 ± 2.3621	23.36 ± 3.463
0.3	0.9195 ± 0.0460	0.9492 ± 0.0578	7.638 ± 1.7622	27.05 ± 6.543
0.4	0.8879 ± 0.0402	0.9866 ± 0.0129	7.247 ± 2.2257	28.93 ± 5.668
0.5	0.9420 ± 0.0510	0.9948 ± 0.0054	2.217 ± 0.9900	31.09 ± 8.096
0.6	0.9951 ± 0.0052	0.9896 ± 0.0103	7.869 ± 0.1669	33.91 ± 9.279
0.7	0.9958 ± 0.0035	0.9964 ± 0.0047	6.398 ± 2.7240	41.46 ± 6.722
0.8	0.9928 ± 0.0151	1.0000 ± 0.0000	2.738 ± 2.6772	37.79 ± 8.939
0.9	1.0000 ± 0.0000	1.0000 ± 0.0000	7.529 ± 0.2508	32.97 ± 9.095
1.0	1.0000 ± 0.0000	1.0000 ± 0.0000	7.299 ± 0.2905	35.63 ± 12.27
Mean values	0.9625 ± 0.0327	0.9764 ± 0.0218	6.3586 ± 1.1663	31.435 ± 7.453