Journal of Mathematics / 2023 / Article / Tab 3 / Research Article
A New Conformable Fractional-Order Time-Delay Grey Bernoulli Model with the Arithmetic Optimization Algorithm and Its Application in Rural Regional Economy Table 3 The evaluation metrics of the seven algorithms in the two cases.
WOA MPA GWO GOA EOA ALO AOA RRCL Training MAPE 1.4557 1.2950 1.2973 1.2950 1.2950 1.3612 1.3620 RMSE 96.7318 91.4569 91.5072 91.4569 91.4569 94.8716 94.8843 R 2 0.9976 0.9978 0.9978 0.9978 0.9978 0.9977 0.9977 rRMSE 0.0218 0.0206 0.0206 0.0206 0.0206 0.0214 0.0214 MAE 66.4270 60.2699 60.4633 60.2700 60.2699 62.1145 62.1306 IA 0.9994 0.9995 0.9995 0.9995 0.9995 0.9994 0.9994 MSE 9357.0423 8364.3704 8373.5728 8364.3716 8364.3704 9000.6279 9003.0324 Test MAPE 2.3508 22.4480 22.2082 22.4479 22.4480 2.3120 2.3113 RMSE 574.2689 4221.1269 4184.0688 4221.1219 4221.1270 453.6824 453.1245 R 2 0.9718 0.1028 0.0840 0.1028 0.1028 0.9788 0.9788 rRMSE 0.0444 0.3265 0.3236 0.3265 0.3265 0.0351 0.0350 MAE 339.9470 3290.0644 3256.6666 3290.0600 3290.0645 327.1120 327.0361 IA 0.9874 0.4507 0.4541 0.4507 0.4507 0.9908 0.9908 MSE 329784.8049 17817911.9373 17506431.5260 17817869.9763 17817912.8397 205827.7001 205321.7845 RRPCCEX Train MAPE 1.1291 0.9944 1.0005 1.0004 1.0004 1.0004 1.0008 RMSE 76.7420 67.0344 70.0764 70.0840 70.0848 70.0847 70.0404 R 2 0.9989 0.9991 0.9990 0.9990 0.9990 0.9990 0.9990 rRMSE 0.0154 0.0134 0.0140 0.0141 0.0141 0.0141 0.0140 MAE 50.8588 43.4909 51.6357 51.6414 51.6420 51.6420 51.6080 IA 0.9997 0.9998 0.9998 0.9998 0.9998 0.9998 0.9998 MSE 5889.3287 4493.6150 4910.7057 4911.7717 4911.8755 4911.8709 4905.6618 Test MAPE 5.4232 5.3032 3.5414 3.5465 3.5470 3.5470 3.5174 RMSE 1052.7385 1132.5090 560.1814 560.8081 560.8691 560.8664 557.2025 R 2 0.9570 0.9385 0.9736 0.9736 0.9736 0.9736 0.9736 rRMSE 0.0829 0.0892 0.0441 0.0442 0.0442 0.0442 0.0439 MAE 767.2886 767.5576 452.6361 453.3208 453.3874 453.3845 449.3749 IA 0.8957 0.8711 0.9795 0.9794 0.9794 0.9794 0.9797 MSE 1108258.4180 1282576.7233 313803.1752 314505.6961 314574.1137 314571.0751 310474.6518