Table 1 Uncertainty measures of the rough set X with various information granularities
From: Integrated measures for rough sets based on general binary relations
Subfig. no. | Uncertainty measures | ||||||
|---|---|---|---|---|---|---|---|
Num_L | Num_U | Num_B | \( \rho_{P} (X) \) | \( G_{P} (X) \) | \( H^{G} (P) \) | \( H(X,P) \) | |
(1) | 0 | 3600 | 3600 | 1 | 1 | 8.64 | 8.64 |
(2) | 0 | 2200 | 2200 | 1 | 0.61 | 7.31 | 7.31 |
(3) | 0 | 2200 | 2200 | 1 | 0.61 | 6.87 | 6.87 |
(4) | 200 | 2200 | 2000 | 0.91 | 0.56 | 6.64 | 6.04 |
(5) | 5400 | 1548 | 1008 | 0.65 | 0.28 | 5.17 | 3.36 |
(6) | 5400 | 1548 | 1008 | 0.65 | 0.28 | 4.03 | 2.62 |
(7) | 5400 | 1548 | 1008 | 0.65 | 0.28 | 3.25 | 2.11 |