A Fusion Multiobjective Empire Split Algorithm

Table 2

IGD results on the eight problems.

Function		FMOESA	MOEA/D	dMOPSO	NSGAII	STM	ACD
ZDT1	Mean	4.664E − 03	7.806E − 03	3.928 E − 03	4.922E − 03	1.907E − 02	6.429E − 03
	Std	5.834E − 04	8.352E − 04	3.765 E − 05	2.585E − 04	3.583E − 03	5.734E − 03
	value		3.013E − 15	4.363E − 05	2.147E − 06	2.827E − 19	6.083E − 13
ZDT2	Mean	4.205 E − 03	2.984E − 02	6.926E − 02	4.354E − 03	1.847E − 02	1.548E − 02
	Std	2.475E − 04	1.038E − 01	1.352E − 01	2.082 E − 04	3.452E − 03	3.154E − 02
	value		1.193E − 02	8.068E − 03	5.093E − 14	1.748E − 20	9.273E − 05
ZDT3	Mean	4.947 E − 03	1.312E − 02	1.094E − 02	7.223E − 03	2.245E − 02	1.072E − 02
	Std	3.073 E − 04	5.587E − 03	7.298E − 04	7.734E − 03	5.827E − 03	6.863E − 03
	value		9.834E − 04	4.002E − 26	1.105E − 03	9.641E − 17	8.267E − 03
ZDT6	Mean	2.315E − 03	1.928E − 03	1.788 E − 03	2.606E − 03	1.509E − 02	2.101E − 03
	Std	1.894E − 04	6.547E − 05	4.863 E − 05	2.521E − 04	1.696E − 02	4.028E − 05
	value		1.945E − 05	1.356E − 17	9.137E − 05	3.905E − 02	7.302E − 05
DTLZ1	Mean	4.119E − 02	1.824 E − 02	3.201E + 00	1.920E − 02	8.202E + 00	2.868E − 02
	Std	1.439E − 02	4.737 E − 04	1.810E + 01	6.101E − 04	2.037E + 00	5.827E − 04
	value		2.938E − 10	8.076E − 08	4.466E − 10	3.082E − 18	6.286E − 10
DTLZ2	Mean	4.380 E − 02	4.579E − 02	4.751E − 02	5.424E − 02	7.442E − 02	4.661E − 02
	Std	1.326E − 03	1.218 E − 03	1.498E − 03	2.337E − 03	3.001E − 03	2.319E − 03
	value		2.270E − 05	5.386E − 09	7.156E − 17	1.090E − 29	3.917E − 09
DTLZ4	Mean	1.486E − 01	5.106 E − 02	1.517E − 01	5.373E − 02	1.582E − 01	5.704E − 02
	Std	1.435E − 01	1.984E − 03	7.267E − 02	1.772 E − 03	3.916E − 02	2.397E − 03
	value		5.681E − 04	3.569E − 01	8.324E − 04	1.729E − 01	9.143E − 04
DTLZ7	Mean	4.943 E − 02	1.926E − 01	1.256E − 01	6.809E − 02	5.321E − 02	1.275E − 01
	Std	2.686E − 03	5.016E − 03	6.278E − 03	5.011E − 02	1.682 E − 03	6.764E − 03
	value		3.672E − 36	2.579E − 30	6.788E − 03	5.156E − 01	3.582E − 3
+/=/−			5/0/3	5/1/2	6/0/2	6/2/0	5/0/3