Table 4.
Statistical test results of spacing and -values for WFG problems.
| Problem | M | D | MaOALO | MaOPSO | MaOSOS | MaOMVO | NSGA-III | MaOMPA | -values |
|---|---|---|---|---|---|---|---|---|---|
| WFG1 | 5 | 14 | 5.6 | 3.4 | 1.4 | 3.6 | 5.4 | 1.6 | 0.0003 |
| 7 | 16 | 3.8 | 3.2 | 2.8 | 4.2 | 6 | 1 | 0.0015 | |
| WFG2 | 5 | 14 | 4.6 | 3.2 | 4.6 | 2.6 | 5 | 1 | 0.0047 |
| 7 | 16 | 5.6 | 4 | 4.6 | 2.2 | 3.4 | 1.2 | 0.0025 | |
| WFG3 | 5 | 14 | 4.4 | 4.8 | 2 | 2.4 | 5.8 | 1.6 | 0.0007 |
| 7 | 16 | 2.4 | 1.8 | 4.6 | 3.4 | 6 | 2.8 | 0.0041 | |
| WFG4 | 5 | 14 | 4.6 | 5.6 | 2.2 | 2.8 | 4.8 | 1 | 0.0004 |
| 7 | 16 | 3.4 | 4.8 | 3.6 | 5 | 3.2 | 1 | 0.0117 | |
| WFG5 | 5 | 14 | 4.8 | 5 | 2.6 | 3 | 4.6 | 1 | 0.0032 |
| 7 | 16 | 3.2 | 5.4 | 3.8 | 4.8 | 2.8 | 1 | 0.0037 | |
| WFG6 | 5 | 14 | 4.8 | 5.8 | 2.2 | 3.6 | 3.6 | 1 | 0.0007 |
| 7 | 16 | 3 | 5.2 | 4 | 4 | 3.8 | 1 | 0.0141 | |
| WFG7 | 5 | 14 | 5 | 5 | 2 | 3.8 | 4.2 | 1 | 0.0016 |
| 7 | 16 | 2.6 | 5.6 | 3 | 4.2 | 4.6 | 1 | 0.0018 | |
| WFG8 | 5 | 14 | 6 | 4.4 | 2 | 3 | 4.6 | 1 | 0.0002 |
| 7 | 16 | 5.2 | 3.8 | 2.4 | 2.8 | 5.8 | 1 | 0.0003 | |
| WFG9 | 5 | 14 | 4.4 | 4.6 | 2 | 3.8 | 5.2 | 1 | 0.0017 |
| 7 | 16 | 3.4 | 5 | 2 | 4.6 | 5 | 1 | 0.0011 |
Significant values are in bold.