Uncertainty Analysis of Knowledge Reductions in Rough Sets

Table 4

The rules description of five reductions.

Cond. attr.					Dec. attr.	Confidence
a	b	c	d	e	g	POS	GDR	DR	BPR
N	N	N	G	G	N	1	1	1	1
Y	N	N	G	G	S	1	1	1	1
Y	Y	N	G	G	N	3/13	3/11	2/6	1/3
					S	9/13	8/11	4/6	2/3
		Y		B	S				1/3
					L				2/3
		N	B	B	N			1/5	1/5
					S			4/5	4/5
		Y		B	S		1/2	1/2	1/2
					L	1/13	1/2	1/2	1/2
Pos reduct		5 rules and one pair of R.unc.
General decision			6 rules and two pairs of R.unc.
Distribution reduct				8 rules and three pairs of R.unc.
Boundary partition reduct					10 rules and four pairs of R.unc.

Notes: Cond. attr., Dec. attr., and R.unc. are abbreviations for condition attributes, decision attributes, and uncertain rules.