Multiobjective Optimization Using Cross-Entropy Approach

Table 1

Other metric comparison based.

Algorithm	Method	SCH	FON	POL	KUR	ZDT1	ZDT2	ZDT3	ZDT4	ZDT6
ONVG	CE method	1	1	1	1	1	1	1	1	1
	NAGA-II	1	1	1	1	1	1	1	1	1
CM	CE method	1.000	0.915	0.96	1	0.37	1	0.81	0.01	0.9200
	NAGA-II	0.996	0.89	0.57	0.2	1	0.75	0.975	1	1
𝐷av	CE method	0.0022	0.0014	−0.0001	0.0154	0.0069	0.0092	0.0020	0.0066	0.0229
	NAGA-II	0.0012	0.0009	0.0009	0.0067	0.0106	0.0053	0.0022	0.3292	0.0025
𝐷max	CE method	0.0111	0.0116	0.0079	0.0453	0.0368	0.0316	0.0055	0.0317	0.1045
	NAGA-II	0.0073	0.0043	0.0046	0.0213	0.0221	0.0143	0.0067	0.3736	0.0119
TS	CE method	0.0017	0.0030	0.0034	0.1908	0.0126	0.0020	0.0032	0.0090	0.3012
	NAGA-II	0.0005	0.0003	0.0019	0.0582	0.0022	0.0042	0.0045	0.0022	0.0018
MS	CE method	1.0005	0.9856	0.9976	0.9631	0.9982	0.9967	1.0038	1.0042	1.0000
	NAGA-II	1.0000	1.0028	0.9990	1.0000	1.0055	0.9976	0.9996	1.3387	1.6902
AQ	CE method	0.5235	0.3346	−1.2381	−5.8113	0.2061	0.3272	0.1317	0.2047	0.085469
	NAGA-II	0.5271	0.3294	−1.2440	−6.0626	0.2039	0.3256	0.1318	0.5111	0.006664
𝑡	CE method	13.01548	13.776714	24.715435	13.708412	28.320879	41.6873	16.4662	13.344223	11.692149
	NAGA-II	67.06799	70.4706	38.285153	35.7219	98.879344	101.7208	101.95494	99.9021	108.873080