Disruption-Based Multiobjective Equilibrium Optimization Algorithm

Table 4

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

Problem	Metric	DMOEOA	MOPSO	MOALO	NSGAII	MOWOA	MOGWO
UF8	Ave	2.97 E−01	1.31 E+00	7.24 E−01	4.37 E−01	6.38 E−01	6.75 E−01
	Std	2.97 E−02	2.88 E−01	1.60 E−01	4.92 E−02	1.17 E−01	2.73 E−01
			+	+	+	+	+
UF9	Ave	4.78 E−01	1.50 E + 00	6.64 E−01	3.66 E−01	8.15 E−01	2.69 E−01
	Std	5.53 E−02	2.57 E−01	1.26 E−01	2.22 E−02	9.63 E−02	1.14 E−01
			+	+	−	+	−
UF10	Ave	6.91 E−01	7.69 E + 00	4.44 E + 00	7.09 E−01	5.33 E + 00	2.71 E + 00
	Std	7.46 E−02	1.32 E + 00	9.25 E−01	8.04 E−02	6.13 E−01	9.23 E−01
			+	+	+	+	+
DTLZ1	Ave	5.45 E + 01	8.82 E + 01	5.48 E + 01	3.95 E + 02	8.98 E + 01	7.77 E + 01
	Std	5.34 E + 00	6.40 E + 00	3.93 E + 01	3.72 E + 01	3.06 E + 00	3.26 E + 01
			+	=	+	+	+
DTLZ2	Ave	9.16 E−02	7.84 E−02	2.51 E−01	3.34 E + 00	8.89 E−02	4.06 E−01
	Std	5.02 E−03	4.33 E−03	5.51 E−02	3.43 E−01	6.66 E−03	3.97 E−02
			−	+	+	=	+
DTLZ3	Ave	1.82 E + 02	1.88 E + 02	1.92 E + 02	5.19 E + 02	1.89 E + 02	2.08 E + 02
	Std	1.09 E + 01	1.13 E + 01	3.58 E + 01	6.96 E + 01	1.15 E + 01	2.22 E + 01
			+	+	+	+	+
DTLZ4	Ave	7.94 E−02	8.54 E−02	2.10 E−01	5.53 E−01	9.54 E−02	8.08 E−02
	Std	1.01 E−02	1.09 E−02	6.10 E−02	6.27 E−02	2.48 E−02	2.40 E−02
			+	+	+	+	=
DTLZ5	Ave	2.28 E−02	2.23 E−02	6.59 E−02	3.81 E−01	3.76 E−02	2.07 E−02
	Std	3.66 E−03	3.73 E−03	1.83 E−02	4.35 E−02	5.94 E−03	4.56 E−03
			=	+	+	+	=
DTLZ6	Ave	1.66 E−02	8.54 E−03	1.17 E−01	8.42 E + 00	1.72 E−02	8.73 E−03
	Std	1.41 E−03	6.39 E−04	8.50 E−02	1.20 E−01	4.83 E−03	6.96 E−04
			−	+	+	=	−
DTLZ7	Ave	8.90 E−02	1.12 E−01	1.28 E + 00	8.70 E + 00	8.98 E−02	4.89 E−01
	Std	6.25 E−03	5.41 E−02	1.81 E−01	7.83 E−01	6.91 E−03	2.08 E−01
			+	+	+	=	+
	l		72	90	91	70	62