Table 5 Outcomes for multimodal reference functions (F8 to F13).
Algorithms | Metric | F8 | F9 | F10 | F11 | F12 | F13 |
---|---|---|---|---|---|---|---|
PO | Mean | 57.3112 | −2.3623e−09 | 2.3221e−16 | −6.951e−09 | −1.0001 | 1 |
Std | 330.5992 | 7.8949e−10 | 5.0147e−32 | 2.524e−24 | 0.0018269 | 0.0013602 | |
Rank | 6 | 4 | 11 | 5 | 1 | 4 | |
CPO-1 | Mean | 199.8856 | −2.7807e−09 | 2.0758e−16 | 2.9605e−10 | −1 | 1.024 |
Std | 283.3031 | 1.3528e−09 | 9.2287e−17 | 1.4089e−10 | 5.2741e−05 | 0.087349 | |
Rank | 10 | 3 | 9 | 9 | 2 | 5 | |
CPO-2 | Mean | −59.2349 | 1.8193e−09 | 2.002e−16 | −1.8867e−11 | −0.99997 | 0.99997 |
Std | 254.8596 | 1.1454e−09 | 1.8594e−16 | 1.1666e−11 | 0.00018155 | 0.00034941 | |
Rank | 1 | 8 | 8 | 1 | 3 | 3 | |
CPO-3 | Mean | 65.1787 | −1.6916e−09 | 1.7421e−17 | 9.5983e−09 | −1 | 0.99 |
Std | 216.9192 | 1.2794e−09 | 2.2615e−16 | 6.7424e−09 | 4.087e−05 | 0.066298 | |
Rank | 7 | 5 | 4 | 11 | 1 | 1 | |
CPO-4 | Mean | 18.5013 | 2.2982e−09 | −1.594e−16 | −2.7317e−09 | −1 | 1 |
Std | 286.8456 | 1.5668e−09 | 1.1283e−16 | 8.309e−09 | 4.2096e−05 | 7.1117e−05 | |
Rank | 5 | 9 | 1 | 6 | 1 | 4 | |
CPO-5 | Mean | −10.8393 | −1.494e−09 | 2.0952e−16 | −2.3098e−09 | −1 | 0.99128 |
Std | 354.2194 | 1.2896e−09 | 1.7887e−16 | 3.0906e−09 | 0.00027956 | 0.065843 | |
Rank | 4 | 6 | 10 | 7 | 1 | 2 | |
CPO-6 | Mean | −35.835 | 1.2054e−09 | 6.6705e−17 | −7.2561e−09 | −1 | 1 |
Std | 443.4088 | 5.0038e−10 | 4.1567e−17 | 9.1441e−09 | 1.3751e−06 | 0.00020423 | |
Rank | 2 | 7 | 5 | 4 | 1 | 4 | |
CPO-7 | Mean | −18.8544 | −5.5524e−10 | 9.7157e−17 | 7.8547e−09 | −1 | 1 |
Std | 380.8146 | 5.9827e−10 | 7.9783e−17 | 5.0463e−09 | 2.5129e−05 | 4.2015e−05 | |
Rank | 3 | 1 | 6 | 10 | 1 | 4 | |
CPO-8 | Mean | 242.273 | 2.8512e−09 | −1.4196e−16 | −9.4956e−09 | −1 | 1 |
Std | 263.3956 | 1.132e−09 | 1.6283e−16 | 4.8325e−09 | 2.1079e−05 | 9.9048e−05 | |
Rank | 11 | 11 | 2 | 2 | 1 | 4 | |
CPO-9 | Mean | 159.6421 | 2.4205e−09 | 1.2789e−16 | −8.9992e−09 | −1 | 1 |
Std | 339.9625 | 2.9323e−09 | 2.4596e−16 | 4.1505e−09 | 0.00012858 | 6.7822e−06 | |
Rank | 9 | 10 | 7 | 3 | 1 | 4 | |
CPO-10 | Mean | 82.1011 | −4.6351e−10 | 1.6232e−18 | 1.9855e−10 | −1 | 1 |
Std | 333.8365 | 2.0697e−09 | 7.7074e−18 | 7.9612e−10 | 0.000262 | 1.1562e−05 | |
Rank | 8 | 2 | 3 | 8 | 1 | 4 |