Research Article
Z-Shaped Transfer Functions for Binary Particle Swarm Optimization Algorithm
Table 6
Numerical results under
.
| Function | Arithmetic | Best | Worst | Ave | Std |
| | BPSO9 | 2.0000 | 7.0000 | 4.2000 | 1.4697 | BPSO10 | 0.0000 | 0.0000 | 0.0000 | 0.0000 | BPSO11 | 0.0000 | 0.0000 | 0.0000 | 0.0000 | BPSO12 | 0.0000 | 0.0000 | 0.0000 | 0.0000 |
| | BPSO9 | 2.0000 | 8.0000 | 4.5000 | 1.9621 | BPSO10 | 0.0000 | 0.0000 | 0.0000 | 0.0000 | BPSO11 | 0.0000 | 0.0000 | 0.0000 | 0.0000 | BPSO12 | 0.0000 | 0.0000 | 0.0000 | 0.0000 |
| | BPSO9 | 9.0000 | 2683.0000 | 1517.0000 | 890.0239 | BPSO10 | 0.0000 | 0.0000 | 0.0000 | 0.0000 | BPSO11 | 0.0000 | 0.0000 | 0.0000 | 0.0000 | BPSO12 | 0.0000 | 0.0000 | 0.0000 | 0.0000 |
| | BPSO9 | 449.0000 | 2041.0000 | 1205.2000 | 434.1667 | BPSO10 | 449.0000 | 449.0000 | 449.0000 | 0.0000 | BPSO11 | 449.0000 | 449.0000 | 449.0000 | 0.0000 | BPSO12 | 449.0000 | 449.0000 | 449.0000 | 0.0000 |
| | BPSO9 | 118.5000 | 124.5000 | 120.9000 | 1.9596 | BPSO10 | 112.5000 | 112.5000 | 112.5000 | 0.0000 | BPSO11 | 112.5000 | 112.5000 | 112.5000 | 0.0000 | BPSO12 | 112.5000 | 112.5000 | 112.5000 | 0.0000 |
| | BPSO9 | 210.8445 | 1124.7927 | 618.0885 | 271.3089 | BPSO10 | 0.0001 | 0.0526 | 0.0216 | 0.0155 | BPSO11 | 0.0000 | 0.0132 | 0.0042 | 0.0039 | BPSO12 | 0.0004 | 0.0049 | 0.0018 | 0.0012 |
| | BPSO9 | 1.0000 | 7.0000 | 4.9000 | 1.8682 | BPSO10 | 0.0000 | 0.0000 | 0.0000 | 0.0000 | BPSO11 | 0.0000 | 0.0000 | 0.0000 | 0.0000 | BPSO12 | 0.0000 | 0.0000 | 0.0000 | 0.0000 |
| | BPSO9 | 8.8818E − 16 | 0.4927 | 0.3065 | 0.1329 | BPSO10 | 8.8818E − 16 | 8.8818E − 16 | 8.8818E − 16 | 0.0000 | BPSO11 | 8.8818E − 16 | 8.8818E − 16 | 8.8818E − 16 | 0.0000 | BPSO12 | 8.8818E − 16 | 8.8818E − 16 | 8.8818E − 16 | 0.0000 |
| | BPSO9 | 1.2209 | 1.2811 | 1.2520 | 0.0176 | BPSO10 | 1.2108 | 1.2108 | 1.2108 | 0.0000 | BPSO11 | 1.2108 | 1.2108 | 1.2108 | 0.0000 | BPSO12 | 1.2108 | 1.2108 | 1.2108 | 0.0000 |
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