Table 8 Comprehensive performance evaluation of ANFIS and its hybrid variants (ANFIS-ChHHO, ANFIS-HHO, ANFIS-PSO, ANFIS-GWO) in forecasting the EGX-70 index across multiple error metrics (RMSE, MAE, SD, Theil’s U, MARE, MSRE, RMSRE, RMSPE) for the testing set.
ANFIS | ANFIS-ChHHO | ANFIS-HHO | ANFIS-PSO | ANFIS-GWO | |
|---|---|---|---|---|---|
RMSE | 2.5815 | 2.2414 | 2.3608 | 2.384 | 2.7444 |
MAE | 1.6791 | 1.5336 | 1.6421 | 1.6089 | 1.7958 |
SD | 2.5812 | 2.2428 | 2.3556 | 2.3821 | 2.7464 |
Theil’s U | 0.0022 | 0.0019 | 0.0020 | 0.0020 | 0.0023 |
MARE | 0.003104 | 0.00281 | 0.003063 | 0.003139 | 0.002948 |
MSRE | 1.8397e-5 | 1.6824e-5 | 2.0024e-5 | 2.0323e-5 | 1.9977e-5 |
RMSRE | 0.0042892 | 0.0040613 | 0.0044748 | 0.0045081 | 0.0044696 |
RMSPE | 0.42892 | 0.40613 | 0.44748 | 0.45081 | 0.44696 |