Table 4 Statistical comparison of COMFO, on CEC 2017 with 50D for F17–F30.
CEC-2017 (D=50) | ||||||||
|---|---|---|---|---|---|---|---|---|
Function | BWM_HS | CVnew | SGSADE | HGSO | LSHADE-cnEpSin | LSHADE-SPACMA | COMFO | |
Hybrid | ||||||||
F17 | Mean | 3.099\(\times 10^{2}\) | 2.011\(\times 10^{2}\) | 8.099\(\times 10^{1}\) | 2.014\(\times 10^{3 }\) | 3.199\(\times 10^{1}\) | 3.987\(\times 10^{1}\) | 1.810 × 101 |
SD | 1.889\(\times 10^{2}\) | 6.901\(\times 10^{1}\) | 2.198\(\times 10^{1}\) | 1.983\(\times 10^{1}\) | 4.986 | 7.401 | 1.077 × 101 | |
Sign | + | + | \(-\) | + | \(-\) | \(-\) | ||
F18 | Mean | 1.501\(\times 10^{5}\) | 4.009\(\times 10^{1}\) | 1.988\(\times 10^{3}\) | 1.001\(\times 10^{4}\) | 1.986\(\times 10^{1}\) | 3.801\(\times 10^{1}\) | 0.732 × 101 |
SD | 5.901\(\times 10^{4}\) | 6.985 | 1.801\(\times 10^{3}\) | 5.712\(\times 10^{4}\) | 6.901\(\times 10^{-1}\) | 2.021 | 1.666 × 10−1 | |
Sign | + | \(-\) | = | + | \(-\) | \(-\) | ||
F19 | Mean | 7.907\(\times 10^{3}\) | 1.897\(\times 10^{1}\) | 2.199\(\times 10^{1}\) | 1.966\(\times 10^{3}\) | 4.512 | 8.201 | 7.523 × 10−1 |
SD | 9.902\(\times 10^{3}\) | 3.101 | 6.190 | 2.901\(\times 10^{3}\) | 1.901 | 2.303 | 6.006 | |
Sign | + | + | + | + | + | + | ||
F20 | Mean | 1.799\(\times 10^{2}\) | 1.812\(\times 10^{2}\) | 0.909\(\times 10^{2}\) | 1.701\(\times 10^{3}\) | 2.512\(\times 10^{1}\) | 7.805\(\times 10^{1}\) | 3.475 × 102 |
SD | 8.901\(\times 10^{1}\) | 9.615\(\times 10^{1}\) | 4.905\(\times 10^{1}\) | 2.988\(\times 10^{2}\) | 6.501 | 4.201\(\times 10^{1}\) | 2.042 × 101 | |
Sign | + | + | + | + | = | + | ||
F21 | Mean | 2.604\(\times 10^{2}\) | 1.801\(\times 10^{2}\) | 2.803\(\times 10^{2}\) | 2.899\(\times 10^{3}\) | 1.899\(\times 10^{2}\) | 1.799\(\times 10^{2}\) | 7.236 |
SD | 1.501\(\times 10^{1}\) | 2.712\(\times 10^{1}\) | 2.199\(\times 10^{1}\) | 2.499\(\times 10^{1}\) | 2.815 | 3.533 | 1.813 | |
Sign | + | + | + | + | + | + | ||
F22 | Mean | 1.912\(\times 10^{3}\) | 1.198\(\times 10^{3}\) | 1.801\(\times 10^{2}\) | 3.899\(\times 10^{3}\) | 2.901\(\times 10^{2}\) | 2.612\(\times 10^{2}\) | 1.263 × 101 |
SD | 1.599\(\times 10^{3}\) | 1.907\(\times 10^{3}\) | 1.199\(\times 10^{1}\) | 8.278\(\times 10^{2}\) | 1.499\(\times 10^{1}\) | 2.901\(\times 10^{1}\) | 7.645 | |
Sign | + | + | = | + | = | = | ||
Composite | ||||||||
F23 | Mean | 4.111\(\times 10^{2}\) | 3.808\(\times 10^{2}\) | 3.966\(\times 10^{2}\) | 1.977\(\times 10^{3}\) | 2.701\(\times 10^{2}\) | 2.212\(\times 10^{2}\) | 4.047 × 101 |
SD | 4.889\(\times 10^{1}\) | 4.714 | 2.692\(\times 10^{1}\) | 5.394\(\times 10^{1}\) | 2.981\(\times 10^{1}\) | 3.502\(\times 10^{1}\) | 2.124 | |
Sign | + | + | + | + | + | + | ||
F24 | Mean | 5.001\(\times 10^{2}\) | 4.502\(\times 10^{2}\) | 3.099\(\times 10^{4}\) | 2.099\(\times 10^{3}\) | 4.098\(\times 10^{2}\) | 1.901\(\times 10^{1}\) | 1.822 × 101 |
SD | 2.194\(\times 10^{1}\) | 2.601\(\times 10^{2}\) | 2.199\(\times 10^{1}\) | 8.701\(\times 10^{1}\) | 2.515 | 1.712 | 2.515 × 10−1 | |
Sign | + | + | + | + | + | + | ||
F25 | Mean | 3.901\(\times 10^{2}\) | 3.612\(\times 10^{2}\) | 4.099\(\times 10^{2}\) | 2.866\(\times 10^{2}\) | 2.404\(\times 10^{2}\) | 1.888\(\times 10^{1}\) | 2.036 × 101 |
SD | 2.401 | 7.312\(\times 10^{-1}\) | 4.901 | 2.887\(\times 10^{1}\) | 7.401\(\times 10^{-3}\) | 1.828\(\times 10^{-2}\) | 1.410 × 10−3 | |
Sign | + | + | + | + | + | + | ||
F26 | Mean | 2.701\(\times 10^{3}\) | 3.711\(\times 10^{2}\) | 2.912\(\times 10^{3}\) | 4.701\(\times 10^{3}\) | 9.310\(\times 10^{2}\) | 9.831\(\times 10^{2}\) | 1.222 × 102 |
SD | 6.401\(\times 10^{2}\) | 3.201\(\times 10^{1}\) | 2.101\(\times 10^{2}\) | 1.889\(\times 10^{2}\) | 4.701\(\times 10^{1}\) | 3.498\(\times 10^{1}\) | 2.757 × 101 | |
Sign | + | + | + | + | + | + | ||
F27 | Mean | 5.618\(\times 10^{2}\) | 5.301\(\times 10^{2}\) | 5.615\(\times 10^{2}\) | 3.701\(\times 10^{3}\) | 5.099\(\times 10^{2}\) | 5.198\(\times 10^{2}\) | 3.617\(\times 10^{2}\) |
SD | 1.401\(\times 10^{1}\) | 9.901 | 1.815 | 1.099\(\times 10^{2}\) | 6.603 | 1.789\(\times 10^{1}\) | 9.701 × 10−1 | |
Sign | = | = | = | + | = | = | ||
F28 | Mean | 4.501\(\times 10^{2}\) | 3.312\(\times 10^{2}\) | 3.601\(\times 10^{2}\) | 3.214\(\times 10^{3}\) | 2.901\(\times 10^{2}\) | 2.888\(\times 10^{2}\) | 8.498\(\times 10^{1}\) |
SD | 6.501\(\times 10^{1}\) | 3.919\(\times 10^{1}\) | 5.097\(\times 10^{1}\) | 7.501\(\times 10^{1}\) | 3.883\(\times 10^{1}\) | 5.803\(\times 10^{1}\) | 3.206 × 101 | |
Sign | + | + | + | + | + | + | ||
F29 | Mean | 5.099\(\times 10^{2}\) | 8.412\(\times 10^{2}\) | 6.504\(\times 10^{2}\) | 3.811\(\times 10^{3}\) | 4.415\(\times 10^{2}\) | 3.901\(\times 10^{2}\) | 2.640 × 102 |
SD | 1.812\(\times 10^{2}\) | 1.301\(\times 10^{2}\) | 6.601\(\times 10^{1}\) | 1.402\(\times 10^{2}\) | 7.096 | 4.111\(\times 10^{1}\) | 1.222 × 101 | |
Sign | + | + | + | + | + | + | ||
F30 | Mean | 1.111\(\times 10^{4}\) | 2.401\(\times 10^{3}\) | 2.719\(\times 10^{3}\) | 9.828\(\times 10^{3}\) | 1.502\(\times 10^{3}\) | 8.828\(\times 10^{2}\) | 7.826 × 102 |
SD | 5.801\(\times 10^{3}\) | 5.242\(\times 10^{2}\) | 9.401\(\times 10^{2}\) | 3.615\(\times 10^{3}\) | 4.299\(\times 10^{3}\) | 9.099\(\times 10^{2}\) | 2.606 × 102 | |
Sign | = | \(-\) | \(-\) | = | \(-\) | \(-\) | ||