Disruption-Based Multiobjective Equilibrium Optimization Algorithm

Table 3

IGD metric results obtained by DMOEOA and five multiobjective algorithms on two-objective test functions.

Problem	Metric	DMOEOA	MOPSO	MOALO	NSGAII	MOWOA	MOGWO
ZDT1	Ave	1.30 E−02	1.86 E−02	1.91 E−01	2.12 E + 00	1.62 E−02	9.46 E−03
	Std	1.22 E−03	5.27 E−03	7.20 E−02	2.43 E−01	8.63 E−03	2.12 E−03
			+	+	+	+	−
ZDT2	Ave	9.98 E−03	4.30 E−02	4.93 E−01	3.31 E + 00	1.15 E−02	1.04 E−02
	Std	1.01 E−03	1.18 E−01	1.48 E−01	2.61 E−01	1.56 E−03	3.37 E−03
			+	+	+	+	+
ZDT3	Ave	1.47 E−02	5.84 E−02	1.22 E−01	2.84 E−01	1.72 E−02	1.68 E−02
	Std	2.18 E−03	4.79 E−02	2.81 E−02	5.90 E−02	3.08 E−03	5.98 E−03
			+	+	+	+	=
ZDT4	Ave	2.21 E−02	5.78 E + 00	2.90 E + 01	9.69 E + 00	2.29 E−02	1.02 E + 01
	Std	2.01 E−02	1.92 E + 00	1.12 E + 01	3.49 E−01	7.75 E−03	1.55 E + 01
			+	+	+	+	+
ZDT6	Ave	2.68 E−02	2.77 E + 00	5.82 E−01	6.17 E + 00	1.75 E−01	1.99 E−01
	Std	5.31 E−02	1.99 E + 00	7.81 E−02	2.38 E + 00	3.80 E−03	7.99 E−02
			+	+	+	+	+
UF1	Ave	1.13 E−01	2.86 E−01	2.04 E−01	1.25 E + 00	1.69 E−01	1.34 E−01
	Std	1.95 E−02	1.06 E−01	3.15 E−02	1.28 E−01	2.50 E−02	4.53 E−02
			+	+	+	+	+
UF2	Ave	5.31 E−02	2.00 E−01	2.12 E−01	4.99 E−01	9.60 E−02	7.45 E−02
	Std	6.98 E−03	3.89 E−02	3.33 E−02	5.41 E−02	7.79 E−03	8.91 E−03
			+	+	+	+	+
UF3	Ave	5.81 E−01	6.51 E−01	6.80 E−01	1.26 E + 00	3.08 E−01	2.77 E−01
	Std	4.90 E−02	1.68 E−01	1.74 E−01	1.07 E−01	1.30 E−02	3.75 E−02
			+	+	+	−	−
UF4	Ave	6.48 E−02	9.79 E−02	9.12 E−02	1.89 E−01	6.92 E−02	6.80 E−02
	Std	4.60 E−03	6.68 E−03	1.77 E−02	5.76 E−03	5.92 E−03	5.28 E−03
			+	+	+	+	+
UF5	Ave	1.88 E + 00	2.44 E + 00	2.16 E + 00	1.23 E + 00	2.23 E + 00	1.93 E + 00
	Std	5.08 E−01	8.97 E−01	1.98 E−01	1.46 E−01	3.56 E−01	6.38 E−01
			+	+	−	+	=
UF6	Ave	1.08 E + 00	1.12 E + 00	1.10 E + 00	5.63 E−01	1.14 E + 00	3.48 E−01
	Std	2.76 E−01	2.62 E−01	3.02 E−01	6.80 E−02	5.06 E−01	1.48 E−02
			=	=	−	=	−
UF7	Ave	2.18 E−01	2.87 E−01	2.73 E−01	2.83 E−01	2.68 E−01	8.20 E−02
	Std	8.66 E−02	1.34 E−01	9.77 E−02	1.33 E−01	1.25 E−01	1.13 E−02
			+	+	+	=	−
	l		110	110	102	91	64