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 4 Average and standard deviation of \({\Delta }_{x}\) obtained by the different methods.

Test functions	F1		F2		F3		F4		F5
Metric	AVG	STD	AVG	STD	AVG	STD	AVG	STD	AVG	STD
GA	0.0054	2.19E−04	0.0094	4.37E−06	0.0007	1.82E−12	0.0046	4.52E−04	0.0002	6.78E−05
PSO	0.0052	4.28E−05	0.0089	4.87E−09	0.00074	1.05E−09	0.0033	3.79E−04	0.0031	5.38E−04
IGA	0.0052	3.80E−18	0.0152	2.49E−11	0.00071	5.61E−12	0.0035	2.83E−05	0.0245	5.76E−05
MGA	0.0045	1.76E−07	0.0007	3.98E−06	0.0007	4.79E−10	0.0018	5.46E−05	0.0197	2.59E−03
PSODA	0.0039	5.38E−04	0.0008	7.30E−18	0.0006	4.02E−06	0.0018	3.11E−04	0.0011	2.42E−04
HPSO	0.0062	2.88E−06	0.0128	4.18E−03	0.00088	5.29E−08	0.0047	2.56E−08	0.0024	4.95E−04
Bat	0.0070	1.69E−05	0.0174	5.31E−03	0.00095	3.18E−06	0.0057	1.57E−03	0.1729	2.88E−02
BBO	0.0050	5.22E−13	0.0011	1.70E−06	0.0007	2.89E−09	0.0020	1.89E−06	0.0239	6.88E−04

Test functions	F6		F7		F8		F9		F10
GA	0.0043	3.49E−05	0.0012	2.68E−06	0.3804	4.20E−01	0.0042	1.19E−04	0.0010	7.20E−07
PSO	0.0082	4.39E−04	0.0018	3.19E−09	0.0005	5.07E−12	0.0065	5.22E−06	0.0010	7.44E−07
IGA	0.0086	5.09E−05	0.0025	2.33E−04	0.1253	2.48E−01	0.0089	4.51E−07	0.0010	5.18E−08
MGA	0.0001	2.95E−06	0.0008	3.36E−10	0.2239	4.37E−01	0.0005	5.11E−13	0.0006	4.87E−14
PSODA	0.0001	2.99E−06	0.0008	5.73E−13	0.0003	8.65E−12	0.1544	1.72E−01	0.0006	4.06E−14
HPSO	0.0012	4.11E−04	0.0029	4.20E−08	0.0007	5.38E−15	0.0079	7.37E−04	0.0010	3.95E−05
Bat	0.0078	4.77E−05	0.0037	2.75E−06	0.4107	1.08E−01	0.1563	1.09E−01	0.0011	3.49E−05
BBO	0.0094	5.68E−04	0.0006	4.29E−11	0.1864	5.62E−01	0.0003	6.37E−09	0.0006	2.76E−09