Table 2 Comparison of PSP Values for MOPO and Other Multi-Objective Algorithms.

From: An efficient multi-objective parrot optimizer for global and engineering optimization problems

PSP

MOPSO

NSGA-II

MOGWO

MOWOA

MOSMA

IMOMRFO

MOGTO

MOPO

MMF1

Mean

7.47

3.50

4.17

3.29

5.35

6.37

4.72

9.81

SD

0.64

0.47

0.73

0.74

1.01

0.76

0.90

0.83

MMF2

Mean

8.72

3.54

2.70

2.57

3.81

5.41

2.60

8.93

SD

3.21

1.21

1.62

1.31

2.01

2.12

1.38

2.89

MMF4

Mean

7.38

4.53

5.52

4.52

3.82

16.35

6.50

23.70

SD

1.84

0.88

1.47

1.23

0.74

2.15

1.49

1.61

MMF5

Mean

6.17

2.36

2.43

2.08

3.89

6.56

3.11

9.89

SD

0.51

0.39

0.82

0.56

0.34

0.85

0.63

0.46

MMF7

Mean

18.11

5.82

4.06

3.96

7.56

7.39

8.27

32.36

SD

2.14

0.96

1.54

1.08

0.92

1.74

1.56

1.74

MMF8

Mean

1.87

0.74

1.28

0.84

2.04

2.25

0.73

13.77

SD

1.22

0.22

0.62

0.47

0.59

0.96

0.39

0.99

MMF10

Mean

98.02

5.13

5.64

6.65

9.08

23.26

30.61

360.34

SD

110.25

7.02

5.13

3.94

2.80

11.36

42.81

47.68

MMF11

Mean

153.06

64.89

53.97

20.88

29.07

71.31

90.10

187.01

SD

17.27

24.81

12.72

7.29

9.04

6.91

10.15

6.24

MMF12

Mean

347.65

93.47

130.69

18.09

41.95

162.65

210.27

420.29

SD

64.69

95.92

58.51

10.95

13.49

16.12

61.06

33.09

MMF13

Mean

14.13

6.77

3.85

4.87

9.60

15.83

8.73

27.85

SD

3.61

1.93

1.88

1.97

0.90

1.45

3.07

1.14

MMF14

Mean

7.19

4.96

2.59

4.16

6.74

7.11

4.45

11.74

SD

2.04

0.58

1.07

0.79

0.65

0.53

0.69

0.55

MMF15

Mean

14.99

6.01

3.44

5.31

8.30

9.58

10.60

15.53

SD

0.97

0.99

0.85

1.31

1.63

0.61

1.00

0.70

MMF1_e

Mean

0.34

0.57

0.14

0.21

1.89

0.30

0.21

3.11

SD

0.27

0.22

0.11

0.13

0.34

0.36

0.13

0.88

MMF14_a

Mean

9.67

4.96

2.26

3.53

4.79

8.74

4.88

5.78

SD

0.41

0.63

0.45

1.71

1.00

0.37

0.63

0.77

MMF15_a

Mean

9.86

6.75

8.19

5.72

8.74

11.87

9.10

14.21

SD

1.17

0.77

1.37

1.81

0.67

0.82

1.24

0.69

MMF10_I

Mean

5.59

5.54

2.72

7.17

2.28

5.69

5.55

15.13

SD

1.84

2.06

3.05

2.25

3.19

0.35

3.80

5.09

MMF11_I

Mean

1.45

1.86

0.87

4.71

18.30

3.25

0.67

0.66

SD

1.63

1.77

1.12

2.89

4.57

1.77

0.15

0.05

MMF12_I

Mean

0.99

1.01

1.25

3.48

16.38

3.07

0.79

0.52

SD

1.41

0.97

1.29

2.63

9.90

2.48

0.26

0.07

MMF13_I

Mean

2.11

1.97

1.98

2.81

3.79

3.87

2.86

1.44

SD

0.66

0.57

0.89

0.54

0.72

0.72

1.24

0.33

MMF15_I

Mean

2.40

4.29

1.97

3.66

4.29

4.95

3.19

5.92

SD

0.94

0.45

1.20

0.65

0.65

0.85

1.08

0.55

MMF15_a_I

Mean

3.26

3.77

2.52

3.38

3.05

4.87

3.29

5.46

SD

0.49

0.31

0.69

0.59

0.48

0.55

0.58

0.39

MMF16_l1

Mean

3.68

3.87

3.14

3.73

4.33

6.23

3.73

6.71

SD

0.76

0.32

0.57

0.43

0.46

0.71

0.84

0.40

MMF16_l2

Mean

1.86

3.93

1.79

3.39

3.68

3.80

2.40

5.00

SD

0.65

0.36

1.01

0.59

0.71

0.76

1.01

0.52

MMF16_l3

Mean

2.66

4.87

2.71

3.80

3.90

3.75

3.37

4.09

SD

0.48

0.29

0.54

0.90

0.58

0.40

0.65

0.28

Friedman mean rank

5.16

3.85

2.29

3.04

4.64

6.04

3.95

7.00

Rank

3

6

8

7

4

2

5

1

  1. Significant values are in (bold).
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