Table 4 IGD results from 30 executions of m-CMA-PAES and MO-CMA-ES on the DTLZ and CEC09 test suites with three problem objectives

UF8

0.13308

0.18188

0.23023

0.16091

0.23432

0.24924

3.6e−08

45.14

+

UF9

0.07381

0.07877

0.08795

0.06755

0.07440

0.07911

5.4e−05

\(-\)21.45

–

UF10

0.64046

0.97907

1.34102

1.33073

1.90805

2.89107

1.6e−09

41.28

+

DTLZ1

0.60928

3.11971

5.72913

2.11988

10.1829

20.9531

1.2e−06

34.72

+

DTLZ2

0.03919

0.04005

0.04077

0.04207

0.04491

0.04939

1.4e−09

7.06

+

DTLZ3

22.4023

50.7571

102.51

171.175

188.531

229.147

1.4e−09

66.64

+

DTLZ4

0.02459

0.03090

0.04093

0.03181

0.04411

0.07016

5.5e−08

28.99

+

DTLZ5

0.00152

0.00174

0.00201

0.00190

0.00213

0.00259

8.3e−09

11.21

+

DTLZ6

0.11059

0.32162

0.65582

0.19705

0.42455

0.71631

0.01701

16.99

+

DTLZ7

0.05268

0.05783

0.06449

0.05824

0.06653

0.07449

2.9e−08

39.89

+