A Hybrid Particle Swarm Optimization with Dragonfly for Adaptive ANFIS to Model the Corrosion Rate in Concrete Structures

International Journal of Concrete Structures and Materials

Table 3 Average and standard deviation objective function values obtained by different methods.

Test functions	F1		F2		F3		F4		F5
Metric	AVG	STD	AVG	STD	AVG	STD	AVG	STD	AVG	STD
GA	4.19E−07	2.11E−07	2.96E−04	4.68E−05	2.91E−10	3.31E−10	4.73E−07	5.16E−07	6.18E−02	5.81E−02
PSO	1.88E−08	4.11E−08	3.71E−06	1.88E−06	3.85E−12	4.15E−13	5.13E−10	2.19E−11	4.89E−02	2.69E−03
IGA	3.17E−07	1.06E−08	2.11E−04	4.33E−04	1.63E−08	3.28E−09	1.59E−08	4.49E−08	7.50E−03	1.18E−04
MGA	1.08E−10	3.27E−10	4.13E−10	2.18E−11	5.22E−18	1.87E−18	4.28E−13	2.05E−14	7.11E−03	4.10E−04
PSODA	2.12E−14	1.90E−15	5.08E−15	3.44E−15	7.18E−21	5.36E−22	3.38E−12	4.19E−13	5.27E−03	5.76E−03
HPSO	4.26E−05	4.39E−05	5.28E−04	6.18E−04	5.39E−05	2.17E−05	2.88E−05	7.23E−05	5.29E−02	2.14E−02
Bat	3.15E−04	7.29E−04	1.43E−03	5.32E−04	3.14E−03	3.12E−03	3.95E−04	6.29E−04	8.66E−02	1.03E−02
BBO	4.26E−10	1.93E−10	4.55E−08	1.17E−08	5.07E−15	4.89E−15	8.45E−10	5.61E−10	4.76E−03	3.37E−03

Test functions	F6		F7		F8		F9		F10
GA	2.62E−13	3.07E−13	1.4348	3.22E−01	0.0003	3.21E−06	− 1.0317	3.29E−09	3.0018	4.11E−02
PSO	6.02E−14	2.40E−15	1.4902	2.69E−01	0.0003	1.09E−13	− 1.0318	4.86E−21	3.0000	6.30E−07
IGA	6.25E−14	4.84E−14	1.2075	1.39E−01	0.0003	2.19E−08	− 1.0316	1.09E−04	3.0015	5.38E−03
MGA	0	0	9.9E−01	3.23E−08	0.0003	6.38E−19	− 1.0317	2.18E−07	3.0000	5.03E−20
PSODA	0	0	9.9E−01	3.18E−10	0.0003	4.11E−11	− 1.0316	6.37E−18	3.0000	2.68E−10
HPSO	3.27E−10	1.92E−10	1.5724	5.50E−01	0.0006	2.25E−05	− 1.0318	5.03E−10	3.1000	1.003
Bat	4.18E−12	3.23E−12	1.8349	3.89E−01	0.0076	1.94E−06	− 1.0318	4.89E−07	3.1024	5.25E−01
BBO	0	0	9.81E−01	4.28E−06	0.0003	3.29E−04	− 1.0316	9.23E−01	3.0958	1.0183

Bold values in the table are related to the maximum or minimum of the obtained results