Table 20 GD and IGD of some benchmark functions for α & β parameters.

From: A memorized multi-objective Sinh-Cosh optimizer for solving multi-objective engineering design problems

α

ZDT1

MMF14

β

ZDT1

MMF14

 

GD

IGD

GD

IGD

GD

IGD

GD

IGD

0.1

0.4689

0.2792

33.2841

2.2165

0.0

0.5761

0.2891

10.6759

0.7047

0.2

0.6753

0.6122

37.2084

18.2747

0.1

0.3622

0.2529

29.0515

6.5167

0.3

0.1376

0.0699

19.4658

5.4757

0.3

0.0250

0.0136

27.6436

10.2514

0.4

0.6572

0.3205

24.3087

1.9374

0.5

0.0194

0.0807

29.2992

23.3053

0.5

0.3499

0.1808

31.5078

31.0257

0.8

0.0884

0.0467

36.9314

6.9045

0.6

0.1025

0.0558

30.9175

32.1511

1

0.5423

0.3382

31.1989

29.0433

0.7

0.7244

0.3579

23.1939

8.0271

1.5

0.0223

0.0364

32.0583

20.1494

0.8

0.6309

0.4793

29.5162

2.1466

2

0.2488

0.1493

23.3814

12.0874

0.9

0.4145

0.1874

21.2141

7.4850

2.5

0.1335

0.0729

23.3128

4.6371

1

0.7064

0.4996

36.8856

41.7104

3

0.0352

0.0567

26.3112

7.7072

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