Research Article
Fusion Global-Local-Topology Particle Swarm Optimization for Global Optimization Problems
Table 13
Comparison of FGLT-PSO with PSO, LPSO, and QIPSO for the rotated and shifted unimodal and multimodal functions using Wilcoxon’s rank sum test (
).
| | Function | Wilcoxon’s rank sum test | PSO | LPSO | QIPSO |
| | value | 3.0199e − 011 | 3.0199e − 011 | 3.0199e − 011 | | -value | 1 | 1 | 1 | | -value | −6.6456 | −6.6456 | −6.6456 |
| | value | 3.0317e − 002 | 6.5671e − 002 | 6.7350e − 001 | | -value | 1 | 0 | 0 | | -value | −2.16592 | −1.84066 | −0.421356 |
| | value | 3.0199e − 011 | 3.0199e − 011 | 3.0199e − 011 | | -value | 1 | 1 | 1 | | -value | −6.6456 | −6.6456 | −6.6456 |
| | value | 3.0199e − 011 | 1.2057e − 010 | 1.8916e − 004 | | -value | 1 | 1 | 1 | | -value | −6.6456 | −6.43862 | −3.73307 |
| | value | 7.3131e − 003 | 3.0749e − 002 | 3.0494e − 002 | | -value | −1 | 1 | −1 | | -value | 2.68224 | −2.16031 | 2.16361 |
| | value | 2.2256e − 004 | 5.4038e − 004 | 2.7547e − 011 | | -value | 1 | −1 | −1 | | -value | −3.69193 | 3.4599 | 6.65912 |
| | value | 3.0142e − 011 | 3.0123e − 011 | 3.0142e − 011 | | -value | 1 | 1 | 1 | | -value | −6.64588 | −6.64597 | −6.64588 |
| | value | 3.0199e − 011 | 3.0199e − 011 | 3.0199e − 011 | | -value | 1 | 1 | 1 | | -value | −6.6456 | −6.6456 | −6.6456 |
| | value | 3.0199e − 011 | 4.0772e − 011 | 3.0199e − 011 | | -value | 1 | 1 | 1 | | -value | −6.6456 | −6.60125 | −6.6456 |
| | value | 2.3399e − 001 | 5.8737e − 004 | 9.2344e − 001 | | -value | 0 | −1 | 0 | | -value | 1.19015 | 3.43738 | 0.0960988 |
| | value | 3.3384e − 011 | 1.3289e − 010 | 8.9934e − 011 | | -value | 1 | 1 | 1 | | -value | −6.63081 | −6.42383 | −6.48297 |
| | 1 (better) | 9 | 8 | 7 | | 0 (same) | 1 | 1 | 2 | | −1 (worse) | 1 | 2 | 2 |
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