An Indicator and Decomposition Based Steady-State Evolutionary Algorithm for Many-Objective Optimization

Table 3

Comparisons of median values obtained by each algorithm on the WFG test suite. Best performance is shown in bold. +, ≈, and − denote that -MOEA/D performs significantly better than, equivalent to, and worse than the compared algorithm, respectively.

		-MOEA/D	MOMBI-II		DBEA		MOEA/D-PBI		MOEA/DD
WFG1	3(400)		−				+
	5(750)		−		+		+
	8(1500)		−		−		+
	10(2000)		−		−		+
	15(3000)		+		+		+
WFG2	3(400)		≈		≈		+
	5(750)		+		−		+
	8(1500)		≈		+		+
	10(2000)		−		+		+
	15(3000)		−		+		−
WFG3	3(400)		−		+		+
	5(750)		+		+		+
	8(1500)		−		+		+
	10(2000)		−		+		+
	15(3000)		−		+		≈
WFG4	3(400)		+		+		+
	5(750)		+		≈		+
	8(1500)		+		−		+
	10(2000)		+		−		+
	15(3000)		+		+		+
WFG5	3(400)		+		+		+
	5(750)		+		≈		+
	8(1500)		+		−		+
	10(2000)		+		−		+
	15(3000)		+		+		+
WFG6	3(400)		+		+		+
	5(750)		+		≈		+
	8(1500)		+		−		+
	10(2000)		+		−		+
	15(3000)		+		+		+
WFG7	3(400)		+		+		+
	5(750)		+		≈		+
	8(1500)		+		+		+
	10(2000)		+		+		+
	15(3000)		+		+		+
WFG8	3(400)		−		≈		+
	5(750)		+		≈		+
	8(1500)		+		−		+
	10(2000)		+		+		+
	15(3000)		+		+		+
WFG9	3(400)		+		+		+
	5(750)		+		≈		+
	8(1500)		+		−		+
	10(2000)		+		−		+
	15(3000)		+		+		+
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