Research Article
A Novel Multiobjective Quantum-Behaved Particle Swarm Optimization Based on the Ring Model
Table 4
Comparison results in terms of IGD between MOQPSOr and other algorithms.
| Function | MOQPSOr | OMOPSO | σMOPSO | pdMOPSO | NSGA-II | PESA-II |
| WFG1 | 0.576 | 0.6156 (+) | 0.5873 (+) | 0.6003 (+) | 0.4060 (−) | 0.5228 (−) | WFG2 | 0.007339 | 0.009023 (+) | 0.008287 (+) | 0.008894 (+) | 0.003544 (−) | 0.004050 (−) | WFG3 | 0.03331 | 0.03363 (+) | 0.03398 (+) | 0.03410 (+) | 0.03438 (+) | 0.03428 (+) | WFG4 | 0.01994 | 0.02157 (+) | 0.02431 (+) | 0.02386 (+) | 0.005290 (−) | 0.004598 (−) | WFG5 | 0.02733 | 0.02739 (+) | 0.02741 (+) | 0.03082 (+) | 0.02766 (+) | 0.02749 (+) | WFG6 | 0.004706 | 0.005259 (+) | 0.01734 (+) | 0.009347 (+) | 0.03296 (+) | 0.03480 (+) | WFG7 | 0.002606 | 0.003473 (+) | 0.004735 (+) | 0.004981 (+) | 0.005660 (+) | 0.004236 (+) | WFG8 | 0.03933 | 0.03736 (−) | 0.03989 (+) | 0.03756 (−) | 0.03725 (−) | 0.03649 (−) | WFG9 | 0.008916 | 0.009299 (+) | 0.009313 (+) | 0.009305 (+) | 0.009429 (+) | 0.008953 (+) | DTLZ2 | 0.04004 | 0.04160 (+) | 0.04231 (+) | 0.04583 (+) | 0.07000 (+) | 0.07540 (+) | DTLZ4 | 0.04202 | 0.04794 (+) | 0.04737 (+) | 0.05177 (+) | 0.06859 (+) | 0.06436 (+) | DTLZ7 | 0.04426 | 0.04523 (+) | 0.04570 (+) | 0.05231 (+) | 0.05180 (+) | 0.07088 (+) | Better (+) | | 11 | 12 | 11 | 8 | 8 | Worse (−) | | 1 | 0 | 1 | 4 | 4 | Score | | 10 | 12 | 10 | 4 | 4 |
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