Table 3 IGD results from 30 executions of m-CMA-PAES and MO-CMA-ES on the ZDT and CEC09 test suites with two problem objectives

ZDT1

0.00628

0.00657

0.00686

0.00813

0.00936

0.01031

1.4e−09

69.23

+

ZDT2

0.00592

0.00614

0.00639

0.00989

0.01172

0.01511

1.4e−09

60.72

+

ZDT3

0.00574

0.00609

0.00676

0.00552

0.00594

0.00643

0.0625

\(-\)12.10

=

ZDT4

1.80044

6.17983

11.44563

2.85512

8.35397

14.56593

0.0232

17.03

+

ZDT6

0.01132

0.01279

0.01406

0.04788

0.08938

0.20901

1.4e−09

38.74

+

UF1

0.03762

0.05824

0.06579

0.05044

0.07228

0.12375

1.1e−06

17.00

+

UF2

0.01359

0.02006

0.02687

0.02117

0.03496

0.05235

5.5e−08

38.44

+

UF3

0.04869

0.07992

0.12647

0.06044

0.08129

0.10133

0.7269

1.76

=

UF4

0.05925

0.06431

0.06942

0.07661

0.08261

0.09722

1.4e−09

48.20

+

UF5

0.49880

0.72982

1.04816

0.87997

1.04873

1.26644

8.3e−09

41.54

+

UF6

0.08817

0.12736

0.22802

0.09314

0.11268

0.22469

0.010432

\(-\)10.50

–

UF7

0.01791

0.02431

0.03226

0.03306

0.06434

0.12773

1.4e−09

36.45

+