Research Article
The Evolutionary Algorithm to Find Robust Pareto-Optimal Solutions over Time
Table 3
Comparison of the robust generation distances of robust optimal pareto fronts under different
.
| Functions | Measures | | | | | | | | | | | | |
| FDA1 | RGD | | 0.0064 | 0.0067 | 0.0066 | 0.0054 | 0.0050 | 0.0046 | 0.0050 | 0.0043 | | 0.0014 | 0.0010 | 0.0013 | | | | | | RIGD | | 0.1258 | 0.1028 | 0.1079 | 0.0095 | 0.0096 | 0.0100 | 0.0094 | 0.0077 | | 0.1012 | 0.0996 | 0.0623 | 0.0021 | 0.0025 | 0.0050 | 0.0022 | 0.0016 |
| FDA2 | RGD | | 0.0493 | 0.0802 | 0.2016 | 0.2044 | 0.2147 | 0.2359 | 0.2510 | 0.2397 | | 0.0082 | 0.0055 | 0.0256 | 0.0186 | | 0.0128 | 0.0148 | 0.0236 | RIGD | | 0.0486 | 0.0822 | 0.2416 | 0.2438 | 0.2613 | 0.2675 | 0.2772 | 0.2762 | | 0.0113 | 0.0049 | 0.0388 | 0.0316 | | 0.0037 | 0.0148 | 0.0140 |
| FDA3 | RGD | | 0.0438 | 0.0611 | 0.0689 | 0.1205 | 0.3034 | 0.3363 | 0.2115 | 0.3202 | | 0.0183 | 0.0039 | 0.0032 | 0.0084 | 0.1128 | 0.1459 | 0.0240 | 0.0984 | RIGD | | 0.1346 | 0.1342 | 0.1308 | 0.1544 | 0.3095 | 0.3452 | 0.2337 | 0.3341 | | 0.0714 | 0.0608 | 0.0742 | 0.0579 | 0.1003 | 0.1544 | 0.0299 | 0.1021 |
| FDA4 | RGD | | 0.3935 | 0.3898 | 0.3886 | 0.3879 | 0.3874 | 0.3877 | 0.3877 | 0.3869 | | 0.0045 | 0.0030 | | | 0.0017 | | | | RIGD | | 0.0699 | 0.0573 | 0.0520 | 0.0543 | 0.0497 | 0.0476 | 0.0496 | 0.0424 | | 0.0140 | 0.0131 | 0.0021 | 0.0043 | 0.0049 | 0.0033 | 0.0051 | 0.0023 |
| FDA5 | RGD | | 0.7700 | 0.7703 | 0.7698 | 0.7761 | 0.7640 | 0.7650 | 0.7700 | 0.7637 | | 0.0055 | 0.0061 | 0.0059 | 0.0172 | 0.0066 | 0.0060 | 0.0073 | 0.0074 | RIGD | | 0.0897 | 0.0879 | 0.2593 | 0.3619 | 0.1659 | 0.1737 | 0.1984 | 0.1973 | | 0.0063 | 0.0044 | 0.0506 | 0.1683 | 0.0020 | 0.0048 | 0.0019 | 0.0018 |
| DMOP1 | RGD | | 0.0564 | 0.0913 | 0.1195 | 0.1523 | 0.1523 | 0.1523 | 0.1523 | 0.1523 | | 0.0232 | 0.0080 | 0.0093 | | | | | | RIGD | | 0.0580 | 0.0845 | 0.1240 | 0.1564 | 0.1564 | 0.1564 | 0.1564 | 0.1564 | | 0.0235 | 0.0083 | 0.0084 | | | | | |
| DMOP2 | RGD | | 0.0606 | 0.0611 | 0.0375 | 0.1255 | 0.0509 | 0.0634 | 0.0871 | 0.1198 | | 0.0269 | 0.0193 | 0.0027 | 0.0671 | 0.0033 | 0.0134 | 0.0178 | 0.0594 | RIGD | | 0.1779 | 0.1211 | 0.0789 | 0.1335 | 0.0518 | 0.0674 | 0.0866 | 0.1270 | | 0.1300 | 0.0775 | 0.0553 | 0.0743 | 0.0030 | 0.0114 | 0.0218 | 0.0667 |
| DMOP3 | RGD | | 0.0093 | 0.0098 | 0.0104 | 0.0101 | 0.0129 | 0.0107 | 0.0099 | 0.0107 | | | 0.0011 | 0.0022 | 0.0025 | 0.0063 | 0.0012 | 0.0013 | 0.0022 | RIGD | | 0.1525 | 0.1847 | 0.1824 | 0.1465 | 0.1866 | 0.1517 | 0.2238 | 0.1993 | | 0.0721 | 0.0407 | 0.0711 | 0.0508 | | 0.0642 | 0.1010 | 0.1035 |
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