Table 3.
Results of spacing metric for WFG problems.
| Problem | M | D | MaOALO | MaOPSO | MaOSOS | MaOMVO | NSGA-III | MaOMPA |
|---|---|---|---|---|---|---|---|---|
| WFG1 | 5 | 14 | 1.0127 ± 0.0334 | 0.83688 ± 0.0308 | 0.54804 ± 0.195 | 0.87886 ± 0.0841 | 0.98270 ± 0.0681 | 0.60345 ± 0.0730 |
| 7 | 16 | 1.2070 ± 0.110 | 1.1975 ± 0.0841 | 1.1607 ± 0.0941 | 1.3319 ± 0.186 | 1.7650 ± 0.155 | 0.82687 ± 0.0699 | |
| WFG2 | 5 | 14 | 0.66067 ± 0.146 | 0.55353 ± 0.0622 | 0.65075 ± 0.103 | 0.48623 ± 0.127 | 0.69233 ± 0.103 | 0.31764 ± 0.0284 |
| 7 | 16 | 1.1717 ± 0.125 | 0.94543 ± 0.182 | 1.0307 ± 0.0685 | 0.72535 ± 0.238 | 0.86137 ± 0.202 | 0.53823 ± 0.0984 | |
| WFG3 | 5 | 14 | 0.57144 ± 0.0203 | 0.58385 ± 0.0752 | 0.40364 ± 0.0365 | 0.39771 ± 0.0766 | 0.75537 ± 0.113 | 0.32180 ± 0.0901 |
| 7 | 16 | 0.64281 ± 0.0795 | 0.59643 ± 0.174 | 0.76160 ± 0.0296 | 0.69554 ± 0.0693 | 1.2777 ± 0.128 | 0.67988 ± 0.0453 | |
| WFG4 | 5 | 14 | 0.83411 ± 0.0197 | 0.92290 ± 0.0764 | 0.63476 ± 0.0702 | 0.69457 ± 0.0392 | 0.85124 ± 0.0460 | 0.45077 ± 0.0103 |
| 7 | 16 | 1.4517 ± 0.112 | 1.6718 ± 0.106 | 1.5248 ± 0.123 | 1.6934 ± 0.126 | 1.4678 ± 0.161 | 0.95666 ± 0.0829 | |
| WFG5 | 5 | 14 | 0.83560 ± 0.0331 | 0.83906 ± 0.0416 | 0.68450 ± 0.102 | 0.76683 ± 0.0664 | 0.82498 ± 0.0353 | 0.45602 ± 0.0359 |
| 7 | 16 | 1.3680 ± 0.0403 | 1.6719 ± 0.119 | 1.4471 ± 0.110 | 1.6074 ± 0.240 | 1.3521 ± 0.0443 | 0.88467 ± 0.0778 | |
| WFG6 | 5 | 14 | 0.83239 ± 0.0388 | 0.90446 ± 0.0816 | 0.69513 ± 0.0794 | 0.76519 ± 0.0917 | 0.78216 ± 0.0461 | 0.48755 ± 0.0574 |
| 7 | 16 | 1.4039 ± 0.0968 | 1.5898 ± 0.176 | 1.4921 ± 0.188 | 1.5026 ± 0.106 | 1.4441 ± 0.0449 | 0.86176 ± 0.0328 | |
| WFG7 | 5 | 14 | 0.87242 ± 0.0303 | 0.91209 ± 0.110 | 0.67231 ± 0.105 | 0.82402 ± 0.0331 | 0.82415 ± 0.0390 | 0.43260 ± 0.0522 |
| 7 | 16 | 1.4478 ± 0.134 | 1.8465 ± 0.165 | 1.4757 ± 0.139 | 1.5959 ± 0.153 | 1.6457 ± 0.101 | 0.81158 ± 0.106 | |
| WFG8 | 5 | 14 | 1.0789 ± 0.113 | 0.86796 ± 0.0633 | 0.60454 ± 0.0680 | 0.75985 ± 0.0542 | 0.88828 ± 0.0381 | 0.47769 ± 0.0432 |
| 7 | 16 | 2.0619 ± 0.133 | 1.6931 ± 0.102 | 1.4614 ± 0.0773 | 1.4699 ± 0.164 | 2.2170 ± 0.160 | 0.90960 ± 0.0471 | |
| WFG9 | 5 | 14 | 0.79169 ± 0.0634 | 0.82298 ± 0.0286 | 0.59598 ± 0.0653 | 0.74638 ± 0.0932 | 0.84979 ± 0.0741 | 0.42837 ± 0.0400 |
| 7 | 16 | 1.4849 ± 0.0957 | 1.5817 ± 0.131 | 1.2436 ± 0.150 | 1.5077 ± 0.111 | 1.5772 ± 0.108 | 0.78615 ± 0.0752 |
Significant values are in bold.