Table 8.
Results of IGD metric for WFG problems.
| Problem | M | D | MaOALO | MaOPSO | MaOSOS | MaOMVO | NSGA-III | MaOMPA |
|---|---|---|---|---|---|---|---|---|
| WFG1 | 5 | 14 | 1.3121 ± 0.210 | 1.2991 ± 0.190 | 1.2490 ± 0.0869 | 1.2221 ± 0.131 | 1.3190 ± 0.0932 | 0.82160 ± 0.0547 |
| 7 | 16 | 1.8111 ± 0.144 | 1.8523 ± 0.177 | 1.5342 ± 0.114 | 2.0687 ± 0.214 | 1.7773 ± 0.184 | 1.2237 ± 0.0620 | |
| WFG2 | 5 | 14 | 0.52196 ± 0.0105 | 0.52245 ± 0.0222 | 0.50760 ± 0.00789 | 0.83375 ± 0.0563 | 0.50608 ± 0.0113 | 0.50794 ± 0.0107 |
| 7 | 16 | 0.93491 ± 0.0742 | 0.84288 ± 0.0556 | 0.87093 ± 0.0322 | 1.8378 ± 0.280 | 0.84085 ± 0.0157 | 0.82816 ± 0.0142 | |
| WFG3 | 5 | 14 | 0.73275 ± 0.0649 | 0.72681 ± 0.0938 | 0.82682 ± 0.114 | 0.76119 ± 0.101 | 0.89805 ± 0.0769 | 0.55459 ± 0.0395 |
| 7 | 16 | 0.81544 ± 0.281 | 1.1664 ± 0.0586 | 1.6205 ± 0.0489 | 1.5918 ± 0.216 | 0.84288 ± 0.0345 | 0.84514 ± 0.0878 | |
| WFG4 | 5 | 14 | 1.2697 ± 0.00929 | 1.2581 ± 0.0105 | 1.2203 ± 0.00302 | 1.2100 ± 0.00982 | 1.2294 ± 0.00597 | 1.1982 ± 0.0142 |
| 7 | 16 | 2.7721 ± 0.0714 | 2.5806 ± 0.0332 | 2.7509 ± 0.220 | 2.5554 ± 0.0189 | 2.6313 ± 0.0131 | 2.6233 ± 0.0392 | |
| WFG5 | 5 | 14 | 1.2696 ± 0.0221 | 1.2561 ± 0.0177 | 1.2077 ± 0.00334 | 1.1948 ± 0.00648 | 1.2091 ± 0.00712 | 1.2352 ± 0.00822 |
| 7 | 16 | 2.6563 ± 0.00329 | 2.6900 ± 0.0415 | 2.6280 ± 0.0183 | 2.5415 ± 0.0315 | 2.5685 ± 0.0122 | 2.5929 ± 0.0330 | |
| WFG6 | 5 | 14 | 1.3241 ± 0.0230 | 1.3040 ± 0.0217 | 1.2353 ± 0.00556 | 1.2387 ± 0.0168 | 1.2371 ± 0.00644 | 1.2680 ± 0.0236 |
| 7 | 16 | 2.8373 ± 0.132 | 2.7803 ± 0.0693 | 2.6550 ± 0.0183 | 2.5956 ± 0.0373 | 2.6369 ± 0.0170 | 2.7012 ± 0.0246 | |
| WFG7 | 5 | 14 | 1.2938 ± 0.00875 | 1.2636 ± 0.00981 | 1.2383 ± 0.00598 | 1.2629 ± 0.0167 | 1.2482 ± 0.0119 | 1.2619 ± 0.0237 |
| 7 | 16 | 2.6793 ± 0.0173 | 2.5931 ± 0.0528 | 2.6440 ± 0.0182 | 2.6297 ± 0.0449 | 2.6264 ± 0.0148 | 2.6866 ± 0.0172 | |
| WFG8 | 5 | 14 | 1.3512 ± 0.0104 | 1.3332 ± 0.0216 | 1.2765 ± 0.0101 | 1.3055 ± 0.0291 | 1.3026 ± 0.00874 | 1.3003 ± 0.0161 |
| 7 | 16 | 2.7561 ± 0.172 | 2.7775 ± 0.0212 | 2.6999 ± 0.0248 | 2.7132 ± 0.0214 | 2.6508 ± 0.0221 | 2.6508 ± 0.0285 | |
| WFG9 | 5 | 14 | 1.2693 ± 0.0103 | 1.2622 ± 0.0274 | 1.2237 ± 0.0118 | 1.2564 ± 0.0194 | 1.1989 ± 0.0144 | 1.1971 ± 0.00488 |
| 7 | 16 | 2.5677 ± 0.0379 | 2.5958 ± 0.0261 | 2.5686 ± 0.0136 | 2.7492 ± 0.0745 | 2.5386 ± 0.0574 | 2.5182 ± 0.0332 |
Significant values are in bold.