Research Article
Disruption-Based Multiobjective Equilibrium Optimization Algorithm
Table 4
IGD metric results obtained by DMOEOA and five multiobjective algorithms on three-objective test functions.
| Problem | Metric | DMOEOA | MOPSO | MOALO | NSGAII | MOWOA | MOGWO |
| UF8 | Ave | 2.97 E−01 | 1.31 E+00 | 7.24 E−01 | 4.37 E−01 | 6.38 E−01 | 6.75 E−01 | Std | 2.97 E−02 | 2.88 E−01 | 1.60 E−01 | 4.92 E−02 | 1.17 E−01 | 2.73 E−01 | | | + | + | + | + | + |
| UF9 | Ave | 4.78 E−01 | 1.50 E + 00 | 6.64 E−01 | 3.66 E−01 | 8.15 E−01 | 2.69 E−01 | Std | 5.53 E−02 | 2.57 E−01 | 1.26 E−01 | 2.22 E−02 | 9.63 E−02 | 1.14 E−01 | | | + | + | − | + | − |
| UF10 | Ave | 6.91 E−01 | 7.69 E + 00 | 4.44 E + 00 | 7.09 E−01 | 5.33 E + 00 | 2.71 E + 00 | Std | 7.46 E−02 | 1.32 E + 00 | 9.25 E−01 | 8.04 E−02 | 6.13 E−01 | 9.23 E−01 | | | + | + | + | + | + |
| DTLZ1 | Ave | 5.45 E + 01 | 8.82 E + 01 | 5.48 E + 01 | 3.95 E + 02 | 8.98 E + 01 | 7.77 E + 01 | Std | 5.34 E + 00 | 6.40 E + 00 | 3.93 E + 01 | 3.72 E + 01 | 3.06 E + 00 | 3.26 E + 01 | | | + | = | + | + | + |
| DTLZ2 | Ave | 9.16 E−02 | 7.84 E−02 | 2.51 E−01 | 3.34 E + 00 | 8.89 E−02 | 4.06 E−01 | Std | 5.02 E−03 | 4.33 E−03 | 5.51 E−02 | 3.43 E−01 | 6.66 E−03 | 3.97 E−02 | | | − | + | + | = | + |
| DTLZ3 | Ave | 1.82 E + 02 | 1.88 E + 02 | 1.92 E + 02 | 5.19 E + 02 | 1.89 E + 02 | 2.08 E + 02 | Std | 1.09 E + 01 | 1.13 E + 01 | 3.58 E + 01 | 6.96 E + 01 | 1.15 E + 01 | 2.22 E + 01 | | | + | + | + | + | + |
| DTLZ4 | Ave | 7.94 E−02 | 8.54 E−02 | 2.10 E−01 | 5.53 E−01 | 9.54 E−02 | 8.08 E−02 | Std | 1.01 E−02 | 1.09 E−02 | 6.10 E−02 | 6.27 E−02 | 2.48 E−02 | 2.40 E−02 | | | + | + | + | + | = |
| DTLZ5 | Ave | 2.28 E−02 | 2.23 E−02 | 6.59 E−02 | 3.81 E−01 | 3.76 E−02 | 2.07 E−02 | Std | 3.66 E−03 | 3.73 E−03 | 1.83 E−02 | 4.35 E−02 | 5.94 E−03 | 4.56 E−03 | | | = | + | + | + | = |
| DTLZ6 | Ave | 1.66 E−02 | 8.54 E−03 | 1.17 E−01 | 8.42 E + 00 | 1.72 E−02 | 8.73 E−03 | Std | 1.41 E−03 | 6.39 E−04 | 8.50 E−02 | 1.20 E−01 | 4.83 E−03 | 6.96 E−04 | | | − | + | + | = | − |
| DTLZ7 | Ave | 8.90 E−02 | 1.12 E−01 | 1.28 E + 00 | 8.70 E + 00 | 8.98 E−02 | 4.89 E−01 | Std | 6.25 E−03 | 5.41 E−02 | 1.81 E−01 | 7.83 E−01 | 6.91 E−03 | 2.08 E−01 | | | + | + | + | = | + | | l | | 72 | 90 | 91 | 70 | 62 |
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