Table 11 Comparisons between CO,HBA,ARO,OMA,EDO,WOA-LFDE and MDE-DPSO on CEC2013 with 10D.

\(f_{a1}\)

1.8279E-13/

1.0188E-13(>)

4.0257E-03/

8.3403E-03(<)

0/0(>)

9.6752E-10/

2.7180E-09(>)

4.4171E-05/

3.1236E-05(<)

1.9438E-12/

9.7570E-12(>)

7.3364E-07/

1.9689E-06

\(f_{a2}\)

2.2838E+05/

1.5784E+05(<)

5.9171E+05/

8.5293E+05(<)

9.0012E+04/

9.7958E+04(<)

1.8834E+05/

1.2936E+05(<)

1.9395E+00/

1.6090E+00(>)

1.0135E+04/

1.0504E+04(>)

2.0277E+04/

5.2966E+04

\(f_{a3}\)

2.3619E+08/

4.8587E+08(<)

2.0681E+09/

8.9018E+09(<)

4.8992E+06/

1.2549E+07(<)

1.2655E+08/

4.8820E+08(<)

1.5526E+07/

1.2232E+07(<)

1.1840E+08/

2.5790E+08(<)

1.6683E+04/

5.5388E+04

\(f_{a4}\)

5.6423E+03/

4.7118E+03(<)

1.7370E+03/

3.7412E+03(<)

6.7413E+02/

8.9148E+02(<)

1.1873E+04/

5.8825E+03(<)

4.0460E-03/

4.2580E-03(>)

2.8228E+02/

3.2893E+02(<)

4.4837E-02/

2.0335E-01

\(f_{a5}\)

2.8979E-13/

1.7804E-13(>)

1.0349E-02/

1.1490E-02(<)

7.1333E-14/

5.9989E-14(>)

5.0266E-05/

5.7476E-05(>)

2.4014E-03/

1.2948E-03(<)

1.0321E-12/

1.7547E-12(>)

5.5639E-04/

2.5319E-04

\(f_{a6}\)

9.8170E+00/

1.4816E+01(<)

2.4608E+01/

3.4379E+01(<)

1.2633E+01/

1.8735E+01(<)

1.4936E+01/

2.2136E+01(<)

8.5842E-02/

1.4595E-01(>)

1.5538E+01/

2.3328E+01(<)

6.3747E+00/

8.4717E+00

\(f_{a7}\)

7.6043E+01/

4.1084E+01(<)

8.9853E+01/

7.6494E+01(<)

1.9070E+01/

1.4433E+01(<)

5.7912E+01/

4.3565E+01(<)

1.6491E+01/

5.1534E+00(<)

8.3524E+01/

4.4108E+01(<)

4.3718E-02/

8.7025E-02

\(f_{a8}\)

2.0318E+01/

7.6165E-02(>)

2.0363E+01/

1.0682E-01(\(\approx\))

2.0413E+01/

6.7109E-02(<)

2.0351E+01/

7.1354E-02(\(\approx\))

2.0376E+01/

7.6909E-02(\(\approx\))

2.0337E+01/

7.6912E-02(\(\approx\))

2.0341E+01/

7.2869E-02

\(f_{a9}\)

5.8862E+00/

1.4482E+00(<)

8.1621E+00/

1.9564E+00(<)

4.9053E+00/

2.0341E+00(<)

4.0654E+00/

1.4867E+00(<)

5.5663E+00/

1.0982E+00(<)

7.2869E+00/

1.8944E+00(<)

1.0204E+00/

6.5735E-01

\(f_{a10}\)

8.4805E+00/

5.5931E+00(<)

4.1556E+00/

3.1612E+00(<)

4.5006E-01/

2.2262E-01(<)

2.4161E-01/

1.6683E-01(>)

3.1909E-01/

6.7684E-02(>)

6.8971E+00/

1.6328E+01(<)

3.3058E-01/

8.4418E-01

\(f_{a11}\)

1.9509E-02/

1.3932E-01(>)

5.3582E+00/

4.1387E+00(<)

8.9741E-01/

1.6319E+00(>)

2.3652E+01/

7.7095E+00(<)

2.3250E+01/

5.3829E+00(<)

2.4913E+01/

2.0983E+01(<)

2.6922E+00/

1.4252E+00

\(f_{a12}\)

4.9531E+01/

2.1655E+01(<)

5.6665E+01/

2.0489E+01(<)

1.9508E+01/

9.8171E+00(<)

2.8383E+01/

1.0430E+01(<)

2.6113E+01/

2.1219E+01(<)

7.1167E+01/

3.3828E+01(<)

8.7400E+00/

3.4542E+00

\(f_{a13}\)

4.7799E+01/

1.3879E+01(<)

6.5778E+01/

2.1693E+01(<)

2.7413E+01/

1.1467E+01(<)

3.3187E+01/

1.0712E+01(<)

2.8102E+01/

6.7608E+00(<)

7.3355E+01/

2.5185E+01(<)

1.2926E+01/

5.7805E+00

\(f_{a14}\)

3.4880E+01/

5.3958E+01(>)

3.1982E+02/

1.8709E+02(<)

1.0181E+02/

1.0179E+02(>)

1.0318E+03/

2.2982E+02(<)

1.1913E+03/

1.5183E+02(<)

4.8042E+02/

2.3497E+02(<)

1.3586E+02/

9.7261E+01

\(f_{a15}\)

1.0509E+03/

3.2043E+02(<)

1.1755E+03/

4.4480E+02(<)

8.8805E+02/

3.0519E+02(<)

1.3623E+03/

1.8066E+02(<)

7.0192E+02/

1.9952E+02(<)

1.1206E+03/

2.8983E+02(<)

5.7733E+02/

2.5062E+02

\(f_{a16}\)

6.1619E-01/

2.5558E-01(>)

1.0032E+00/

5.7730E-01(<)

6.4779E-01/

2.3100E-01(>)

1.1375E+00/

1.7289E-01(<)

1.0379E+00/

2.0394E-01(<)

6.6358E-01/

2.9007E-01(>)

7.6139E-01/

2.7808E-01

\(f_{a17}\)

9.7438E+00/

2.4509E+00(>)

2.5197E+01/

7.7880E+00(<)

1.0854E+01/

1.6213E+00(>)

4.0234E+01/

9.2398E+00(<)

8.2201E+01/

3.5533E+01(<)

4.2585E+01/

2.3084E+01(<)

1.2792E+01/

1.4399E+00

\(f_{a18}\)

6.2946E+01/

2.0661E+01(<)

6.0267E+01/

1.7907E+01(<)

2.3910E+01/

5.6072E+00(<)

4.8245E+01/

9.2305E+00(<)

5.5065E+01/

2.0584E+01(<)

6.8772E+01/

2.4773E+01(<)

1.8001E+01/

3.4874E+00

\(f_{a19}\)

7.9288E-01/

6.0113E-01(\(\approx\))

2.8733E+00/

1.9821E+00(<)

4.3196E-01/

1.8365E-01(>)

3.0644E+00/

1.0737E+00(<)

2.2810E+00/

4.5853E-01(<)

2.8748E+00/

1.5498E+00(<)

6.6019E-01/

1.9277E-01

\(f_{a20}\)

3.4314E+00/

5.4894E-01(<)

3.7456E+00/

5.0095E-01(<)

3.3896E+00/

4.8438E-01(<)

3.6463E+00/

3.4245E-01(<)

3.4205E+00/

1.9433E-01(<)

3.7769E+00/

3.8984E-01(<)

2.0585E+00/

3.7788E-01

\(f_{a21}\)

3.5504E+02/

8.0861E+01(>)

4.0019E+02/

3.6659E-03(<)

4.0019E+02/

7.1902E-14(<)

3.3793E+02/

8.8627E+01(>)

3.6490E+02/

6.8751E+01(>)

3.8056E+02/

6.0122E+01(>)

3.9627E+02/

2.8033E+01

\(f_{a22}\)

1.0039E+02/

6.9973E+01(>)

6.5017E+02/

5.1869E+02(<)

1.5602E+02/

9.0816E+01(<)

9.6843E+02/

2.5444E+02(<)

1.2537E+03/

1.9585E+02(<)

7.1079E+02/

3.0445E+02(<)

1.3998E+02/

9.5252E+01

\(f_{a23}\)

1.3998E+03/

3.6746E+02(<)

1.5488E+03/

4.1853E+02(<)

1.2287E+03/

3.4844E+02(<)

1.3339E+03/

2.2190E+02(<)

1.2727E+03/

2.2133E+02(<)

1.3826E+03/

3.9366E+02(<)

5.4094E+02/

2.8161E+02

\(f_{a24}\)

2.1404E+02/

2.1302E+01(<)

2.2328E+02/

2.3373E+01(<)

2.1353E+02/

2.0551E+01(<)

2.1846E+02/

4.0255E+00(<)

1.9097E+02/

3.4580E+01(>)

2.2228E+02/

1.3724E+01(<)

2.0263E+02/

1.3197E+01

\(f_{a25}\)

2.1995E+02/

3.6381E+00(<)

2.2913E+02/

6.5430E+00(<)

2.1904E+02/

4.1746E+00(<)

2.1524E+02/

1.1349E+01(<)

2.0538E+02/

2.7232E+01(<)

2.2243E+02/

1.0257E+01(<)

2.0242E+02/

3.0595E+00

\(f_{a26}\)

1.7589E+02/

3.3995E+01(<)

2.2764E+02/

6.3168E+01(<)

1.8775E+02/

2.8915E+01(<)

1.8238E+02/

5.2865E+01(<)

1.7216E+02/

2.9859E+01(<)

2.5295E+02/

7.1362E+01(<)

1.3669E+02/

4.3341E+01

\(f_{a27}\)

5.4169E+02/

8.8008E+01(<)

6.5291E+02/

1.1735E+02(<)

5.4894E+02/

7.5951E+01(<)

5.6522E+02/

3.8172E+01(<)

3.9887E+02/

3.1522E+01(<)

6.1038E+02/

8.3182E+01(<)

3.3741E+02/

4.4985E+01

\(f_{a28}\)

5.3179E+02/

2.5589E+02(<)

6.8804E+02/

2.3911E+02(<)

3.9474E+02/

1.8042E+02(<)

4.2081E+02/

1.9171E+02(<)

3.4850E+02/

1.8445E+02(<)

6.7047E+02/

2.4693E+02(<)

3.1511E+02/

7.6376E+01

>/\(\approx\)/<

9/1/18

0/1/27

7/0/21

4/1/23

6/1/21

5/1/22

-/-/-