Research Article
Fusion Global-Local-Topology Particle Swarm Optimization for Global Optimization Problems
Table 8
Comparison of FGLT-PSO with PSO, LPSO, and QIPSO for the unimodal and multimodal functions using Wilcoxon’s rank sum test (
).
| Function | Wilcoxon’s rank sum test | PSO | LPSO | QIPSO |
| | value | 1.2118e − 012 | 1.2118e − 012 | 1.2118e − 012 | -value | 1 | 1 | 1 | -value | −7.10402 | −7.10402 | −7.10402 |
| | value | 2.8991e − 011 | 3.0199e − 011 | 2.9822e − 011 | -value | 1 | 1 | 1 | -value | −6.65161 | −6.6456 | −6.64745 |
| | value | 3.0199e − 011 | 3.0199e − 011 | 3.0199e − 011 | -value | 1 | 1 | 1 | -value | −6.6456 | −6.6456 | −6.6456 |
| | value | 1.2057e − 010 | 2.2539e − 004 | 1.9568e − 010 | -value | −1 | 1 | −1 | -value | 6.43862 | −3.68871 | 6.3647 |
| | value | 1.2018e − 008 | 1.2472e − 004 | 5.0922e − 008 | -value | 1 | 1 | 1 | -value | −5.69948 | −3.83667 | −5.44806 |
| | value | 1.2018e − 008 | 1.2472e − 004 | 5.0922e − 008 | -value | 1 | 1 | 1 | -value | −5.69948 | −3.83667 | −5.44806 |
| | value | 4.2942e − 002 | 3.7277e − 001 | 2.8314e − 003 | -value | −1 | 0 | −1 | -value | 2.02428 | −0.891289 | 2.98547 |
| | value | 1.7374e − 001 | 2.4305e − 002 | 6.6167e − 004 | -value | 0 | 1 | −1 | -value | −1.36028 | −2.25228 | 3.40499 |
| | value | 1.9990e − 006 | 2.7726e − 005 | 7.2926e − 004 | -value | 1 | 1 | 1 | -value | −4.75352 | −4.19138 | −3.37834 |
| 1 (better) | 6 | 8 | 6 | 0 (same) | 1 | 1 | 0 | −1 (worse) | 2 | 0 | 3 |
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