Research Article
Fusion Global-Local-Topology Particle Swarm Optimization for Global Optimization Problems
Table 4
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 | 3.0199e − 011 | 3.0199e − 011 | 3.0199e − 011 | | -value | 1 | 1 | 1 | | -value | −6.6456 | −6.6456 | −6.6456 |
| | value | 3.0199e − 011 | 3.0199e − 011 | 3.0199e − 011 | | -value | 1 | 1 | 1 | | -value | −6.6456 | −6.6456 | −6.6456 |
| | value | 1.0576e − 003 | 6.1210e − 010 | 3.5923e − 005 | | -value | 1 | 1 | 1 | | -value | −3.27475 | −6.18728 | −4.13225 |
| | value | 1.5581e − 008 | 1.8731e − 007 | 1.0095e − 008 | | -value | 1 | 1 | 1 | | -value | −5.65504 | −5.21151 | −5.72912 |
| | value | 6.3474e − 011 | 1.2724e − 001 | 9.3829e − 010 | | -value | 1 | 0 | 1 | | -value | −6.53532 | −1.52509 | −6.11957 |
| | value | 3.3371e − 001 | — | — | | -value | 0 | 0 | 0 | | -value | 0.966667 | — | — |
| | value | — | — | — | | -value | 0 | 0 | 0 | | -value | — | — | — |
| | value | 1.9097e − 005 | 1.6703e − 006 | 6.2470e − 010 | | -value | −1 | 1 | −1 | | -value | 4.27519 | −4.7897 | 6.18407 |
| | 1 (better) | 6 | 6 | 6 | | 0 (same) | 2 | 3 | 2 | | −1 (worse) | 1 | 0 | 1 |
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