Data sets

Algorithms

MSE

AVG ± STD

Data set1

GA-ELMAN

ES-ELMAN

PSO-ELMAN

ACO-ELMAN

ABC-ELMAN

CS-ELMAN

GGSA-ELMAN

GWO-ELMAN

MGWO-ELMAN

8.1107e−07 ± 3.0232e−03

2.7001e−07 ± 3.1831e−04

3.1518e−08 ± 7.8981e−07

5.8667e−07 ± 7.1113e−03

7.7032e−09 ± 3.7518e−06

6.7807e−09 ± 9.0901e−07

7.0563e−09 ± 9.9493e−06

2.2192e−10 ± 3.8892e−10

4.1379e−11 ± 1.0567e−15

Data set2

GA-ELMAN

ES-ELMAN

PSO-ELMAN

ACO-ELMAN

ABC-ELMAN

CS-ELMAN

GGSA-ELMAN

GWO-ELMAN

MGWO-ELMAN

8.8420e−07 ± 3.4782e−03

3.0084e−07 ± 7.8193e−04

4.5770e−08 ± 6.7010e−06

6.8042e−07 ± 5.4825e−03

8.5455e−09 ± 7.7512e−07

8.8008e−09 ± 2.9377e−08

7.7010e−09 ± 8.1040e−06

3.4050e−10 ± 2.0001e−10

6.3073e−11 ± 3.5708e−15

Data set3

GA-ELMAN

ES-ELMAN

PSO-ELMAN

ACO-ELMAN

ABC-ELMAN

CS-ELMAN

GGSA-ELMAN

GWO-ELMAN

MGWO-ELMAN

9.9740e−07 ± 2.8472e−03

4.7001e−07 ± 4.2318e−03

5.1348e−08 ± 2.5301e−06

7.4800e−07 ± 5.5248e−03

9.1277e−09 ± 4.5542e−07

9.8992e−09 ± 3.9105e−08

8.5474e−09 ± 8.4050e−06

4.6181e−10 ± 2.6725e−10

7.5840e−11 ± 1.1613e−14