Table 1 Training and testing errors, learning and prediction times for the best learned FIS of ANFIS, PSOFIS and GAFIS methods.
Methods | ANFIS | GAFIS | PSOFIS |
|---|---|---|---|
Number of inputs | 5 | 5 | 5 |
Maximum of iteration | 500 | 500 | 500 |
Percentage of P | 70 | 70 | 70 |
Clustering type | Grid partition | Subtractive clustering | Subtractive clustering |
Training MSE error | 0.001535665 | 0.006535045 | 0.005841158 |
Training RMSE error | 0.039187567 | 0.080839622 | 0.076427468 |
Training mean error | 1.86015E − 06 | − 0.00145448 | 0.002179109 |
Training standard deviation (StD) | 0.039221103 | 0.080895708 | 0.076461776 |
Training correlation coefficient (R) error | 0.99832132 | 0.992869298 | 0.994394045 |
Training coefficient of determination (R2) error | 0.996645458 | 0.985789443 | 0.988819516 |
Testing MSE error | 0.009672048 | 0.00655753 | 0.006493703 |
Testing RMSE error | 0.098346572 | 0.080978575 | 0.080583516 |
Testing mean error | − 0.007010998 | 0.000766209 | 0.002871209 |
Testing standard deviation (StD) | 0.098155074 | 0.081023424 | 0.080580558 |
Testing correlation coefficient (R) error | 0.989996681 | 0.993137387 | 0.99320752 |
Testing coefficient of determination (R2) error | 0.980093427 | 0.98632187 | 0.986461178 |
Learning time (s) | 102.6507035 | 85.5361454 | 57.1184928 |
Prediction time (s) | 0.7148131 | 1.267197 | 0.1744804 |
