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.

WOAMPAGWOGOAEOAALOAOA

RRCL
Training
 MAPE1.45571.29501.29731.29501.29501.36121.3620
 RMSE96.731891.456991.507291.456991.456994.871694.8843
R20.99760.99780.99780.99780.99780.99770.9977
 rRMSE0.02180.02060.02060.02060.02060.02140.0214
 MAE66.427060.269960.463360.270060.269962.114562.1306
 IA0.99940.99950.99950.99950.99950.99940.9994
 MSE9357.04238364.37048373.57288364.37168364.37049000.62799003.0324
Test
 MAPE2.350822.448022.208222.447922.44802.31202.3113
 RMSE574.26894221.12694184.06884221.12194221.1270453.6824453.1245
R20.97180.10280.08400.10280.10280.97880.9788
 rRMSE0.04440.32650.32360.32650.32650.03510.0350
 MAE339.94703290.06443256.66663290.06003290.0645327.1120327.0361
 IA0.98740.45070.45410.45070.45070.99080.9908
 MSE329784.804917817911.937317506431.526017817869.976317817912.8397205827.7001205321.7845

RRPCCEX
Train
 MAPE1.12910.99441.00051.00041.00041.00041.0008
 RMSE76.742067.034470.076470.084070.084870.084770.0404
R20.99890.99910.99900.99900.99900.99900.9990
 rRMSE0.01540.01340.01400.01410.01410.01410.0140
 MAE50.858843.490951.635751.641451.642051.642051.6080
 IA0.99970.99980.99980.99980.99980.99980.9998
 MSE5889.32874493.61504910.70574911.77174911.87554911.87094905.6618
Test
 MAPE5.42325.30323.54143.54653.54703.54703.5174
 RMSE1052.73851132.5090560.1814560.8081560.8691560.8664557.2025
R20.95700.93850.97360.97360.97360.97360.9736
 rRMSE0.08290.08920.04410.04420.04420.04420.0439
 MAE767.2886767.5576452.6361453.3208453.3874453.3845449.3749
 IA0.89570.87110.97950.97940.97940.97940.9797
 MSE1108258.41801282576.7233313803.1752314505.6961314574.1137314571.0751310474.6518