Integrated measures for rough sets based on general binary relations

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Table 4 New uncertainty measures of a rough set X with various classification granularities

	Num_L	Num_U	Num_B	\( \sigma_{P}^{{\prime }} (X) \)	\( \omega_{P}^{{\prime }} (X) \)	\( H^{{\prime }} (P) \)	\( G^{{\prime }} (P) \)	\( \alpha_{P}^{{\prime }} (X) \)	\( \rho_{P}^{{\prime }} (X) \)
(1)	0	3600	3600	0.5	0.5	0.889	0.111	0.445	0.555
(2)	0	2200	2200	0.694	0.306	0.955	0.045	0.663	0.337
(3)	0	2200	2200	0.694	0.306	0.974	0.026	0.676	0.324
(4)	200	2200	2000	0.722	0.278	0.985	0.015	0.711	0.289
(5)	5400	1548	1008	0.860	0.140	0.997	0.003	0.857	0.143
(6)	5400	1548	1008	0.860	0.140	0.997	0.003	0.857	0.143
(7)	5400	1548	1008	0.860	0.140	0.997	0.003	0.857	0.143