Table 8 Statistical results HV of the mathematical test functions: CEC2020 functions.
function | HV | MALO | MSSA | MOPSO | MOSCA | MOSCHO |
|---|---|---|---|---|---|---|
MMF4 | Av | 0.9971 | 0.9779 | 0.9998 | 0.9997 | 0.9990 |
SD | 0.0016 | 0.0050 | 5.6061e-05 | 0.0001 | 0.0007 | |
WRT | - | - | + | + | ||
MMF5 | Av | 0.7183 | 0.7444 | 0.8011 | 0.8754 | 0.8826 |
SD | 0.0357 | 0.0449 | 0.0417 | 0.0318 | 0.0356 | |
WRT | - | - | + | - | ||
MMF7 | Av | 0.7505 | 0.8435 | 0.9058 | 0.9294 | 0.9442 |
SD | 0.0280 | 0.0465 | 0.0135 | 0.0094 | 0.0093 | |
WRT | - | - | - | - | ||
MMF8 | Av | 0.6936 | 0.8112 | 0.7535 | 0.9755 | 0.9767 |
SD | 0.0170 | 0.0128 | 0.0161 | 0.0042 | 0.0004 | |
WRT | - | - | + | - | ||
MMF10 | Av | 0.7663 | 0.7807 | 0.7876 | 0.8595 | 0.9158 |
SD | 0.0064 | 0.0503 | 0.0073 | 0.0086 | 0.0027 | |
WRT | - | - | + | - | ||
MMF11 | Av | 0.4962 | 0.4813 | 0.5875 | 0.5737 | 0.5921 |
SD | 0.0470 | 0.0459 | 0.0604 | 0.0304 | 0.0477 | |
WRT | - | - | + | - | ||
MMF12 | Av | 0.6955 | 0.7987 | 0.8319 | 0.8256 | 0.8096 |
SD | 0.0390 | 0.0439 | 0.0428 | 0.0276 | 0.0897 | |
WRT | - | - | + | + | ||
MMF13 | Av | 0.6317 | 0.6750 | 0.7754 | 0.8422 | 0.8791 |
SD | 0.0290 | 0.0395 | 0.0785 | 0.0578 | 0.0447 | |
WRT | - | - | + | - | ||
For WRT | +/-/= | 0/8/0 | 0/8/0 | 7/1/0 | 2/6/0 |
