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

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

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 4.28E13 2.05E−14 7.11E−03 4.10E−04
PSODA 2.12E14 1.90E−15 5.08E15 3.44E−15 7.18E21 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 4.76E03 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
  1. Bold values in the table are related to the maximum or minimum of the obtained results