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Table 6 Results of testing benchmark functions

From: A new fruit fly optimization algorithm enhanced support vector machine for diagnosis of breast cancer based on high-level features

Function

Metric

LFOA

FOA

MFO

BA

DA

FPA

PSO

SCA

f 1

mean

1.53E-09

9.27E-07

1.00E+ 03

1.53E+ 01

1.36E+ 03

1.71E+ 03

1.39E+ 02

7.65E+ 00

std

3.71E-09

7.92E-09

3.05E+ 03

2.32E+ 00

1.11E+ 03

4.11E+ 02

1.77E+ 01

1.07E+ 01

rank

1

2

6

4

7

8

5

3

f 2

mean

2.20E-04

5.26E-03

3.51E+ 01

1.84E+ 01

2.20E+ 01

4.90E+ 01

7.48E+ 01

1.33E-02

std

2.25E-04

3.13E-05

2.09E+ 01

1.99E+ 00

1.69E+ 01

1.20E+ 01

1.43E+ 01

1.47E-02

rank

1

2

6

4

5

7

8

3

f 3

mean

1.85E-07

2.91E-04

2.12E+ 04

9.62E+ 01

1.51E+ 04

2.59E+ 03

5.14E+ 02

7.18E+ 03

std

3.20E-07

2.66E-06

1.25E+ 04

2.99E+ 01

1.13E+ 04

8.39E+ 02

1.13E+ 02

4.60E+ 03

rank

1

2

8

3

7

5

4

6

f 4

mean

4.12E-06

1.76E-04

5.95E+ 01

2.25E+ 00

2.38E+ 01

2.91E+ 01

4.69E+ 00

3.36E+ 01

std

4.15E-06

7.28E-07

1.27E+ 01

4.90E-01

7.36E+ 00

3.35E+ 00

2.77E-01

1.05E+ 01

rank

1

2

8

3

5

6

4

7

f 5

mean

8.32E+ 00

2.87E+ 01

5.35E+ 06

4.07E+ 03

5.02E+ 05

2.44E+ 05

1.64E+ 05

1.84E+ 05

std

6.92E+ 00

1.10E-04

2.92E+ 07

1.10E+ 03

7.48E+ 05

9.91E+ 04

3.81E+ 04

8.00E+ 05

rank

1

2

8

3

7

6

4

5

f 6

mean

4.47E-03

7.51E+ 00

1.34E+ 03

1.57E+ 01

1.47E+ 03

1.64E+ 03

1.36E+ 02

2.00E+ 01

std

3.29E-03

2.67E-05

3.46E+ 03

1.99E+ 00

9.07E+ 02

4.54E+ 02

1.62E+ 01

3.46E+ 01

rank

1

2

6

3

7

8

5

4

f 7

mean

2.41E-04

2.16E-04

2.23E+ 00

1.01E+ 01

4.73E-01

4.75E-01

9.93E+ 01

6.57E-02

std

2.33E-04

1.16E-04

4.13E+ 00

6.23E+ 00

3.03E-01

1.58E-01

2.44E+ 01

4.57E-02

rank

2

1

6

7

4

5

8

3

f 8

mean

−1.00E+ 03

−9.36E+ 01

−8.83E+ 03

−7.41E+ 03

− 5.19E+ 03

−7.63E+ 03

−6.89E+ 03

−3.78E+ 03

std

7.16E+ 02

4.62E+ 01

7.31E+ 02

8.71E+ 02

5.72E+ 02

1.67E+ 02

8.35E+ 02

2.90E+ 02

rank

7

8

1

3

5

2

4

6

f 9

mean

3.83E-07

1.84E-04

1.59E+ 02

2.65E+ 02

1.53E+ 02

1.39E+ 02

3.71E+ 02

3.65E+ 01

mean

7.64E-07

1.86E-06

4.23E+ 01

1.96E+ 01

6.13E+ 01

2.07E+ 01

2.43E+ 01

3.09E+ 01

rank

1

2

6

7

5

4

8

3

f 10

mean

1.65E-05

7.04E-04

1.48E+ 01

4.94E+ 00

9.29E+ 00

1.44E+ 01

8.52E+ 00

1.20E+ 01

std

2.21E-05

4.06E-06

7.11E+ 00

2.71E+ 00

1.86E+ 00

1.12E+ 00

4.74E-01

9.24E+ 00

rank

1

2

8

3

5

7

4

6

f 11

mean

1.99E-10

6.19E-08

6.89E+ 00

5.98E-01

1.71E+ 01

1.53E+ 01

1.03E+ 00

8.30E-01

std

5.63E-10

8.26E-10

2.28E+ 01

5.98E-02

1.46E+ 01

3.27E+ 00

5.56E-03

4.20E-01

rank

1

2

6

3

8

7

5

4

f 12

mean

4.13E-04

1.67E+ 00

4.65E+ 00

1.36E+ 01

2.00E+ 03

1.71E+ 02

5.22E+ 00

3.14E+ 02

std

2.30E-04

5.08E-06

3.79E+ 00

6.00E+ 00

8.44E+ 03

5.53E+ 02

8.48E-01

1.06E+ 03

rank

1

2

3

5

8

6

4

7

f 13

mean

6.07E-03

6.18E-01

1.37E+ 07

2.47E+ 00

1.04E+ 05

9.76E+ 04

2.61E+ 01

4.49E+ 04

std

3.92E-03

9.19E-02

7.49E+ 07

3.21E-01

2.72E+ 05

1.03E+ 05

4.32E+ 00

1.55E+ 05

rank

1

2

8

3

7

6

4

5

f 14

mean

1.25E+ 01

1.27E+ 01

1.53E+ 00

4.84E+ 00

1.69E+ 00

9.98E-01

2.71E+ 00

1.53E+ 00

std

9.16E-01

3.27E-15

1.31E+ 00

4.74E+ 00

1.01E+ 00

2.63E-04

2.02E+ 00

8.92E-01

rank

6

7

2

5

3

1

4

2

f 15

mean

4.82E-04

8.04E-04

9.76E-04

5.15E-03

9.75E-03

7.60E-04

1.37E-03

1.01E-03

std

1.81E-04

2.93E-04

3.11E-04

7.79E-03

1.34E-02

1.05E-04

3.33E-04

3.58E-04

rank

1

3

4

7

8

2

6

5

f 16

mean

−5.77E-01

−1.68E-01

−1.03E+ 00

−1.03E+ 00

−1.03E+ 00

−1.03E+ 00

−1.03E+ 00

−1.03E+ 00

std

2.82E-01

1.32E-01

6.78E-16

5.25E-04

2.03E-09

1.69E-08

1.82E-03

3.43E-05

rank

2

3

1

1

1

1

1

1

f 17

mean

5.33E-01

1.98E+ 00

3.98E-01

3.98E-01

3.98E-01

3.98E-01

3.99E-01

3.99E-01

std

2.75E-01

1.01E+ 00

0.00E+ 00

5.57E-04

1.00E-13

6.22E-09

1.13E-03

1.15E-03

rank

3

4

1

1

1

1

2

2

f 18

mean

3.04E+ 01

6.00E+ 02

3.00E+ 00

3.06E+ 00

3.00E+ 00

3.00E+ 00

3.10E+ 00

3.00E+ 00

std

3.42E+ 00

1.73E-03

1.70E-15

5.86E-02

1.89E-14

7.88E-07

1.29E-01

5.38E-05

rank

4

5

1

2

1

1

3

1

f 19

mean

−3.71E+ 00

−3.63E+ 00

−3.86E+ 00

−3.84E+ 00

−3.85E+ 00

−3.86E+ 00

−3.85E+ 00

−3.85E+ 00

std

1.20E-01

2.23E-01

2.71E-15

1.50E-02

6.36E-02

1.09E-06

1.37E-02

1.96E-03

rank

4

5

1

3

2

1

2

2

f 20

mean

−2.15E+ 00

−1.81E+ 00

−3.23E+ 00

−2.84E+ 00

− 3.23E+ 00

− 3.32E+ 00

−2.86E+ 00

−2.95E+ 00

std

5.03E-01

4.24E-01

5.40E-02

1.29E-01

1.22E-01

4.20E-03

1.74E-01

3.53E-01

rank

6

7

2

5

2

1

4

3

f 21

mean

−5.54E+ 00

−3.47E+ 00

−6.55E+ 00

−4.60E+ 00

−9.31E+ 00

−1.01E+ 01

−3.88E+ 00

− 3.29E+ 00

std

9.25E-01

7.98E-01

3.33E+ 00

2.32E+ 00

1.92E+ 00

4.78E-02

1.14E+ 00

1.82E+ 00

rank

4

7

3

5

2

1

6

8

f 22

mean

−6.16E+ 00

−3.42E+ 00

−7.45E+ 00

−5.51E+ 00

−9.52E+ 00

−1.03E+ 01

−4.25E+ 00

−4.00E+ 00

std

1.39E+ 00

8.57E-01

3.49E+ 00

2.86E+ 00

2.00E+ 00

1.06E-01

1.26E+ 00

1.68E+ 00

rank

4

8

3

5

2

1

6

7

f 23

mean

−5.55E+ 00

−3.51E+ 00

−8.54E+ 00

−6.10E+ 00

−9.64E+ 00

−1.04E+ 01

−4.02E+ 00

− 4.20E+ 00

std

8.64E-01

7.50E-01

3.41E+ 00

3.15E+ 00

2.04E+ 00

1.28E-01

1.27E+ 00

1.24E+ 00

rank

5

8

3

4

2

1

7

6

Sum of rank

59

88

101

89

104

88

108

99

Average rank

2.5652

3.8261

4.3913

3.8696

4.5217

3.8261

4.6957

4.3043

Overall rank

1

2

5

3

6

2

7

4