Table 6.
Results of HV metric for WFG problems.
| Problem | M | D | MaOALO | MaOPSO | MaOSOS | MaOMVO | NSGA-III | MaOMPA |
|---|---|---|---|---|---|---|---|---|
| WFG1 | 5 | 14 | 0.52627 ± 0.0780 | 0.50258 ± 0.0659 | 0.52774 ± 0.0410 | 0.61054 ± 0.0492 | 0.50660 ± 0.0347 | 0.72182 ± 0.0269 |
| 7 | 16 | 0.48627 ± 0.0469 | 0.41244 ± 0.0872 | 0.51360 ± 0.0296 | 0.44390 ± 0.0226 | 0.47052 ± 0.0524 | 0.65822 ± 0.0433 | |
| WFG2 | 5 | 14 | 0.94283 ± 0.00944 | 0.89988 ± 0.0137 | 0.96760 ± 0.00931 | 0.96031 ± 0.00862 | 0.95891 ± 0.0114 | 0.98384 ± 0.00303 |
| 7 | 16 | 0.94875 ± 0.0113 | 0.90821 ± 0.0248 | 0.94967 ± 0.0120 | 0.92736 ± 0.0768 | 0.95593 ± 0.00720 | 0.98495 ± 0.00469 | |
| WFG3 | 5 | 14 | 0.071907 ± 0.0264 | 0.0093326 ± 0.00848 | 0.036545 ± 0.0263 | 0.065779 ± 0.0277 | 0.052587 ± 0.0129 | 0.079647 ± 0.0178 |
| 7 | 16 | 0.019762 ± 0.0197 | 0.00000 ± 0.0000 | 0.00000 ± 0.0000 | 0.00000 ± 0.0000 | 0.0011052 ± 0.00247 | 0.0094679 ± 0.0143 | |
| WFG4 | 5 | 14 | 0.67292 ± 0.00741 | 0.64072 ± 0.00959 | 0.69270 ± 0.00413 | 0.64616 ± 0.00935 | 0.70083 ± 0.00632 | 0.72634 ± 0.00336 |
| 7 | 16 | 0.75539 ± 0.0108 | 0.66824 ± 0.0193 | 0.71171 ± 0.140 | 0.66662 ± 0.0250 | 0.77400 ± 0.00693 | 0.80128 ± 0.0117 | |
| WFG5 | 5 | 14 | 0.64589 ± 0.00757 | 0.61640 ± 0.0115 | 0.67809 ± 0.00224 | 0.62291 ± 0.00359 | 0.68380 ± 0.00761 | 0.68990 ± 0.00199 |
| 7 | 16 | 0.71775 ± 0.00916 | 0.61391 ± 0.0178 | 0.74898 ± 0.0123 | 0.60511 ± 0.0243 | 0.75675 ± 0.00909 | 0.76552 ± 0.00319 | |
| WFG6 | 5 | 14 | 0.60728 ± 0.0207 | 0.56411 ± 0.0114 | 0.64800 ± 0.0131 | 0.61151 ± 0.0268 | 0.65092 ± 0.0204 | 0.66104 ± 0.0297 |
| 7 | 16 | 0.70430 ± 0.0158 | 0.52828 ± 0.0448 | 0.72979 ± 0.0295 | 0.59003 ± 0.0338 | 0.72395 ± 0.00583 | 0.74918 ± 0.0131 | |
| WFG7 | 5 | 14 | 0.67088 ± 0.0262 | 0.62534 ± 0.0174 | 0.67936 ± 0.00499 | 0.57733 ± 0.00990 | 0.69261 ± 0.0126 | 0.74121 ± 0.0100 |
| 7 | 16 | 0.76664 ± 0.00736 | 0.61460 ± 0.0485 | 0.75424 ± 0.0342 | 0.54361 ± 0.0449 | 0.78344 ± 0.0125 | 0.83868 ± 0.00433 | |
| WFG8 | 5 | 14 | 0.54151 ± 0.0189 | 0.50728 ± 0.0166 | 0.58411 ± 0.00682 | 0.53178 ± 0.0133 | 0.56184 ± 0.0106 | 0.59172 ± 0.0149 |
| 7 | 16 | 0.57349 ± 0.0307 | 0.45802 ± 0.0597 | 0.65561 ± 0.00743 | 0.56745 ± 0.0158 | 0.59398 ± 0.0230 | 0.63311 ± 0.0148 | |
| WFG9 | 5 | 14 | 0.57269 ± 0.0447 | 0.55781 ± 0.0390 | 0.59047 ± 0.0153 | 0.53652 ± 0.0202 | 0.63289 ± 0.0309 | 0.68275 ± 0.0109 |
| 7 | 16 | 0.66804 ± 0.0302 | 0.54137 ± 0.0181 | 0.62607 ± 0.0362 | 0.47543 ± 0.0617 | 0.69360 ± 0.0230 | 0.66805 ± 0.0503 |
Significant values are in bold.