Improving Performance of Evolutionary Algorithms with Application to Fuzzy Control of Truck Backer-Upper System

Table 3

Comparison algorithms on 𝑓₁--𝑓₁₂. 𝑁 is dimension of functions, 𝐹_MIN stands for global minimum, and last column is range of variables.

	Number of generation	CEP	FEP	EEP	LEP	SCEP	MCEP	WSLEP	𝑁	𝐹MIN	Range bound
𝑓1	1500	155.67	25.194	27.34	26.685	6.3𝑒−6	2.8𝑒−10	𝟑.𝟓𝐞−𝟏𝟔	30	0	[−100,100]^𝑛
𝑓2	2000	0.418	0.596	0.746	0.707	2.3𝑒−4	7.6𝑒−7	𝟐.𝟓𝐞−𝟏𝟎	30	0	[−10,10]^𝑛
𝑓3	5000	1161	4438	2314	650	𝟏.𝟐𝐞−𝟖	8.4𝑒−3	0.021	30	0	[−100,100]^𝑛
𝑓4	5000	0.607	34.38	2.14	1.07	0.0012	0.0002	0.00016	30	0	[−100,100]^𝑛
𝑓5	3000	−8373	−12542	−12154	−11167	−9500	−8230	−12162	30	−12569.5	[−500,500]^𝑛
𝑓6	5000	44.275	1.864	0.124	13.435	30.34	3.1𝑒−7	𝟑.𝟓𝐞−𝟏𝟓	30	0	[−5.12,5.12]^𝑛
𝑓7	1500	8.43	3.773	0.21	5.36	0.006	0.026	0.0016	30	0	[−32,32]^𝑛
𝑓8	2000	2.373	0.971	1.03	0.694	0.009	0.049	0.0049	30	0	[−600,600]^𝑛
𝑓9	100	3.432	1.047	1.32	1.458	1.889	2.23	2.884	2	1	[−65.53,65.53]^𝑛
𝑓10	100	−1.031	−1.031	−1.031	−1.031	−1.031	−1.031	−1.031	2	−1.031	[−5,5]^𝑛
𝑓11	200	−3.322	−3.201	−3.21	−3.164	−3.30	−3.322	−3.322	6	−3.32	[0,1]^𝑛
𝑓12	100	−8.578	−8.311	−8.823	−9.145	−10.17	−9.86	−10.52	4	−10.5	[0,10]^𝑛