Table 9.
Statistical test results of IGD and -values for WFG problems.
| Problem | M | D | MaOALO | MaOPSO | MaOSOS | MaOMVO | NSGA-III | MaOMPA | -values |
|---|---|---|---|---|---|---|---|---|---|
| WFG1 | 5 | 14 | 4.2 | 4.6 | 3.6 | 3.4 | 4.2 | 1 | 0.0336 |
| 7 | 16 | 4.2 | 4.4 | 2.4 | 5.6 | 3.4 | 1 | 0.0021 | |
| WFG2 | 5 | 14 | 4 | 3.8 | 2.8 | 6 | 2.4 | 2 | 0.0101 |
| 7 | 16 | 4.4 | 2.6 | 3.6 | 6 | 2.6 | 1.8 | 0.0055 | |
| WFG3 | 5 | 14 | 3.2 | 2.6 | 4.4 | 4 | 5.8 | 1 | 0.0017 |
| 7 | 16 | 1.8 | 4 | 5.8 | 5.2 | 2.2 | 2 | 0.0006 | |
| WFG4 | 5 | 14 | 5.8 | 5.2 | 3.2 | 1.8 | 3.8 | 1.2 | 0.0003 |
| 7 | 16 | 5.8 | 2 | 5 | 1.2 | 3.6 | 3.4 | 0.0006 | |
| WFG5 | 5 | 14 | 5.6 | 5 | 2.4 | 1 | 2.6 | 4.4 | 0.0004 |
| 7 | 16 | 5.2 | 5.8 | 3.8 | 1.4 | 2.2 | 2.6 | 0.0006 | |
| WFG6 | 5 | 14 | 5.4 | 5.2 | 2.2 | 2 | 2 | 4.2 | 0.0021 |
| 7 | 16 | 5.6 | 5.4 | 2.8 | 1.4 | 2 | 3.8 | 0.0006 | |
| WFG7 | 5 | 14 | 6 | 4 | 1.4 | 3.6 | 2.4 | 3.6 | 0.0039 |
| 7 | 16 | 5.2 | 1.6 | 3.6 | 3 | 2.2 | 5.4 | 0.0041 | |
| WFG8 | 5 | 14 | 5.4 | 5.2 | 1 | 3 | 3.2 | 3.2 | 0.0021 |
| 7 | 16 | 3.6 | 5.8 | 4 | 4.2 | 1.6 | 1.8 | 0.0031 | |
| WFG9 | 5 | 14 | 5.2 | 4.8 | 3.2 | 4.8 | 1.6 | 1.4 | 0.0010 |
| 7 | 16 | 3.2 | 4.2 | 3.6 | 6 | 2.6 | 1.4 | 0.0041 |
Significant values are in bold.