Research Article
An Improved Multiobjective Quantum-Behaved Particle Swarm Optimization Based on Double Search Strategy and Circular Transposon Mechanism
Table 3
The IGD values of all the algorithms in the eight test functions.
| | | MOQPSO-DSCT | MPSO/D | MOQPSO-AG | dMOPSO | SMPSO | NSGA-II | MOEA/D |
| | ZDT1 | Mean | 2.8115e-3 | 3.8276e-3 | 7.8213e-3 | 1.4360e-2 | 5.0019e-3 | 5.9674e-1 | 1.5134e-2 | | | Std | 5.84e-5 | 4.54e-3 | 6.64e-4 | 6.57e-3 | 9.55e-4 | 3.46e-2 | 1.46e-2 | | ZDT2 | Mean | 3.9237e-3 | 4.7723e-3 | 8.3342e-3 | 4.0957e-1 | 4.8600e-3 | 1.3533e-1 | 1.0239e-2 | | | Std | 3.57e-5 | 5.64e-3 | 7.56e-4 | 3.01e-1 | 1.21e-4 | 7.63e-2 | 7.85e-3 | | ZDT3 | Meas | 4.4523e-3 | 9.8854e-3 | 9.7834e-3 | 1.5570e-2 | 5.2183e-3 | 9.8741e-2 | 2.0824e-2 | | | Std | 3.28e-5 | 5.39e-3 | 1.46e-3 | 1.14e-3 | 2.49e-4 | 5.28e-2 | 1.08e-2 | | ZDT4 | Mean | 3.7716e-3 | 2.2094e+1 | 1.6469e+1 | 8.0307e-3 | 4.8343e-3 | 3.0449e-1 | 1.8829e-2 | | | Std | 4.55e-5 | 5.01e+0 | 5.67e+0 | 3.06e-3 | 5.14e-3 | 1.69e-1 | 8.19e-3 | | ZDT6 | Mean | 3.3158e-3 | 3.7869e-3 | 7.2344e-3 | 3.3020e-3 | 4.1433e-3 | 8.8106e-3 | 4.2676e-3 | | | Std | 2.45e-5 | 3.84e-6 | 6.07e-4 | 1.30e-6 | 4.86e-4 | 5.07e-3 | 9,92e-4 | | DTLZ2 | Mean | 6.6844e-2 | 5.4732e-2 | 1.1113e-1 | 1.3527e-1 | 7.5454e-2 | 6.9344e-2 | 5.4467e-2 | | | Std | 2.02e-3 | 1.37e-4 | 5.42e-3 | 4.79e-3 | 3.75e-3 | 2.11e-3 | 1.58e-6 | | DTLZ5 | Mean | 4.3522e-3 | 3.7595e-2 | 1.9358e-2 | 4.1346e-1 | 5.4218e-3 | 5.7790e-3 | 8.3766e-1 | | | Std | 2.20e-5 | 2.23e-3 | 3.34e-3 | 6.06e-3 | 3.02e-4 | 2.95e-4 | 3.53e-5 | | DTLZ6 | Mean | 4.0435e-3 | 3.1749e-2 | 1.5366e-2 | 3.3606e-2 | 8.6849e-3 | 6.8228e-3 | 3.3847e-2 | | | std | 2.31e-5 | 8.97e-4 | 5.87e-3 | 7.81e-5 | 2.82e-3 | 3.82e-4 | 7.85e-5 |
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