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Table 6 Results of various HBWO on CEC2017

From: Hybrid beluga whale optimization algorithm with multi-strategy for functions and engineering optimization problems

F

Index

Algorithm

PSO

SSA

WOA

HHO

DO

SCSO

AO

AOA

BWO

LHHO

LSMA

HBWO

F1

Ave

1.117E + 10

2.150E + 04

4.217E + 08

1.892E + 07

1.459E + 09

3.718E + 09

1.149E + 08

4.966E + 10

4.990E + 10

1.530E + 07

4.810E + 03

2.492E + 03

Std

7.048E + 09

2.202E + 04

2.153E + 08

3.635E + 06

1.038E + 09

2.621E + 09

7.323E + 07

8.532E + 09

4.723E + 09

3.849E + 06

4.072E + 03

3.666E + 03

Best

1.085E + 09

3.843E + 03

1.143E + 08

1.265E + 07

1.805E + 08

4.250E + 08

3.148E + 07

3.408E + 10

3.895E + 10

1.007E + 07

1.845E + 02

1.013E + 02

Worst

2.602E + 10

9.005E + 04

9.417E + 08

2.528E + 07

3.769E + 09

9.598E + 09

3.683E + 08

6.309E + 10

5.555E + 10

2.514E + 07

1.697E + 04

1.515E + 04

Rank

10

3

7

5

8

9

6

11

12

4

2

1

F3

Ave

5.735E + 04

5.922E + 04

2.493E + 05

2.662E + 04

8.119E + 04

4.331E + 04

4.374E + 04

7.801E + 04

7.532E + 04

2.089E + 04

3.975E + 03

7.572E + 02

Std

1.949E + 04

5.926E + 03

6.312E + 04

4.037E + 03

6.074E + 03

9.802E + 03

6.677E + 03

7.734E + 03

6.075E + 03

5.648E + 03

2.249E + 03

3.877E + 02

Best

2.843E + 04

4.579E + 04

1.563E + 05

1.922E + 04

6.592E + 04

1.895E + 04

3.315E + 04

6.094E + 04

6.014E + 04

1.158E + 04

1.205E + 03

3.443E + 02

Worst

1.010E + 05

6.905E + 04

3.526E + 05

3.609E + 04

8.927E + 04

6.497E + 04

5.515E + 04

8.847E + 04

8.372E + 04

3.136E + 04

1.050E + 04

2.421E + 03

Rank

7

8

12

4

11

5

6

10

9

3

2

1

F4

Ave

1193.4901

524.1194

692.0717

556.9365

682.9445

877.3982

588.8941

12804.9910

11706.3310

533.0430

500.9661

484.5028

Std

612.2786

20.3094

81.9339

46.4416

118.9142

518.9321

50.2650

3226.8255

1331.0749

20.8540

19.4186

17.0210

Best

642.5808

488.5944

586.7821

477.9126

558.9925

524.6050

523.6538

7611.4869

9557.0240

498.2239

478.1453

467.2975

Worst

2861.2938

576.1173

881.1165

660.0705

1047.1917

2855.3264

736.1262

19043.9951

14381.7390

588.5292

563.4665

517.2056

Rank

7

8

12

4

11

5

6

10

9

3

2

1

F5

Ave

714.8665

778.8699

820.4144

750.0392

788.3881

740.3144

675.9038

880.1379

913.3710

733.7390

602.9851

624.1913

Std

45.0029

41.8028

53.5514

34.0208

28.7438

48.0607

29.7633

38.2791

18.4476

28.2254

28.9875

21.8096

Best

618.9838

689.1764

730.8912

679.0856

739.0908

653.3828

618.2987

812.8303

877.0543

684.7845

561.7918

589.5656

Worst

791.1411

823.3583

912.0708

809.5262

829.1142

816.8894

723.1441

982.3228

950.6040

793.6184

666.2277

646.5348

Rank

4

8

10

7

9

6

3

11

12

5

1

2

F6

Ave

645.4623

659.8264

675.2904

664.8593

668.4228

661.8107

649.8268

674.9460

687.4726

661.4536

614.7668

603.3094

Std

9.5723

9.0251

11.3517

5.4649

4.3619

8.4392

8.7552

7.4000

4.1215

4.8580

7.4938

1.9251

Best

631.8421

633.8830

656.3361

654.2089

661.6524

647.1529

630.2593

664.0555

681.1609

653.4225

605.2460

600.3809

Worst

669.8550

671.9930

693.2667

676.7000

678.9963

678.1189

666.8517

686.7597

696.8912

670.4959

634.2795

610.1477

Rank

3

5

11

8

9

7

4

10

12

6

2

1

F7

Ave

1233.2470

1268.6096

1251.1970

1256.6749

1275.0880

1116.4781

1045.8198

1363.5532

1371.5558

1244.6440

852.2571

890.6840

Std

193.8509

77.0029

105.6151

72.0228

85.2053

98.8470

45.3360

56.3962

23.1486

79.1381

29.7721

25.1362

Best

958.3216

1032.3435

1099.2157

1060.8874

1092.0211

927.8141

958.5698

1245.0758

1318.3713

1109.2355

812.7436

839.7794

Worst

1723.4123

1351.0352

1485.7560

1359.8450

1396.1940

1349.4336

1119.1388

1439.0308

1409.3233

1396.1934

913.3785

998.0526

Rank

5

9

7

8

10

4

3

11

12

6

1

2

F8

Ave

978.8219

984.2392

1043.4621

966.3460

1002.9273

981.6329

942.1143

1089.8954

1135.3670

970.1768

909.8984

904.0689

Std

51.5642

22.1450

68.9071

27.1292

22.3964

31.7130

23.0098

32.8884

13.9167

30.2885

27.1595

13.5051

Best

892.0606

936.3103

918.6110

913.7056

955.3333

936.5612

902.9588

1040.7797

1104.2317

916.1991

860.2946

881.2173

Worst

1081.7289

1020.8794

1194.4619

1012.2838

1031.4747

1050.5218

971.0618

1146.5256

1153.1203

1018.8170

953.8185

937.07436

Rank

6

8

10

4

9

7

3

11

12

5

2

1

F9

Ave

4899.7002

5448.7506

9082.7267

7387.3795

6724.6856

5903.2591

5681.5669

6672.6114

10,324.1013

6635.5453

2970.4248

2088.3688

Std

1615.1659

115.4332

3463.3655

1113.2126

434.4347

905.0906

1189.5706

930.8770

869.9235

938.8063

1363.7122

666.2224

Best

2724.6157

5170.7584

5072.8615

5291.3602

5896.8021

3990.3181

3638.0528

5291.3287

8400.3419

4523.8199

1154.6737

914.1005

Worst

7911.7378

5718.6937

17,371.1393

9234.3284

7455.9103

7665.7291

8350.6299

8413.4238

11861.7156

8563.4062

6409.3938

3737.2913

Rank

3

4

11

10

9

6

5

8

12

7

2

1

F10

Ave

5383.0213

5846.2470

6721.8157

5864.6576

5700.7327

5668.0229

5325.3514

7298.3805

8482.6709

5737.5498

4895.1208

4564.2864

Std

749.1992

653.8037

862.7071

801.1618

599.3269

555.2641

544.2342

546.1045

227.3939

761.8773

804.9351

531.1267

Best

4060.3419

5005.8622

5278.0251

3935.8444

4574.1449

4627.9329

4155.2448

6394.8128

8011.0880

4193.2299

3361.7564

2909.6566

Worst

6839.9826

7157.5190

8007.8280

7087.2998

6644.2146

6761.3703

6226.3990

8250.7158

8865.5418

7141.6112

6008.3384

5984.7154

Rank

4

8

10

9

6

5

3

11

12

7

2

1

F11

Ave

1565.5178

1337.2066

4917.4890

1283.3919

2818.2733

1922.1087

1741.6028

7607.6140

6552.7070

1262.3180

1364.6989

1199.0067

Std

176.4638

63.1468

2836.7528

35.5507

1117.7553

662.6147

242.6069

2204.5851

776.6216

46.7826

82.7906

35.2782

Best

1297.1635

1229.8505

1690.1523

1219.8686

1434.0926

1356.0857

1373.4648

3880.7830

5204.6234

1181.6680

1215.6934

1142.2628

Worst

1920.6600

1497.3442

10,511.4259

1374.4997

5078.6008

3955.0588

2222.4138

12432.6025

8325.1548

1359.9467

1507.9184

1267.478

Rank

6

4

10

3

9

8

7

12

11

2

5

1

F12

Ave

8.983E + 08

2.348E + 06

1.867E + 08

1.538E + 07

6.677E + 07

1.258E + 08

4.830E + 07

1.222E + 10

9.381E + 09

1.995E + 07

5.326E + 06

2.168E + 05

Std

9.977E + 08

2.035E + 06

1.513E + 08

9.171E + 06

4.129E + 07

1.238E + 08

3.192E + 07

3.059E + 09

1.640E + 09

1.718E + 07

3.031E + 06

2.617E + 05

Best

3.401E + 06

1.380E + 05

3.030E + 06

4.993E + 06

8.524E + 06

2.376E + 06

1.066E + 07

5.331E + 09

6.517E + 09

4.319E + 06

1.229E + 06

1.431E + 04

Worst

4.033E + 09

7.872E + 06

5.490E + 08

4.454E + 07

1.422E + 08

3.874E + 08

1.190E + 08

1.708E + 10

1.235E + 10

5.378E + 07

1.243E + 07

1.443E + 06

Rank

10

2

9

4

7

8

6

12

11

5

3

1

F13

Ave

2.913E + 08

2.318E + 04

5.366E + 05

7.083E + 05

6.331E + 05

2.116E + 07

5.391E + 05

7.725E + 09

6.070E + 09

4.337E + 05

2.379E + 05

1.685E + 04

Std

7.783E + 08

1.858E + 04

4.049E + 05

8.556E + 05

1.210E + 06

6.660E + 07

2.645E + 05

4.486E + 09

1.875E + 09

2.063E + 05

1.314E + 05

1.322E + 04

Best

7.217E + 03

1.931E + 03

1.250E + 05

2.735E + 05

5.060E + 04

5.202E + 04

1.114E + 05

1.789E + 09

1.732E + 09

1.476E + 05

4.392E + 04

2.769E + 03

Worst

3.306E + 09

5.840E + 04

1.679E + 06

4.214E + 06

5.603E + 06

2.969E + 08

1.102E + 06

1.672E + 10

9.214E + 09

1.021E + 06

5.431E + 05

4.295E + 04

Rank

10

2

5

8

7

9

6

12

11

4

3

1

F14

Ave

5.437E + 04

1.975E + 05

1.259E + 06

4.301E + 05

1.014E + 06

2.705E + 05

4.447E + 05

9.584E + 05

2.248E + 06

3.228E + 05

9.378E + 04

2.100E + 03

Std

4.775E + 04

2.075E + 05

1.055E + 06

4.536E + 05

5.118E + 05

4.966E + 05

4.235E + 05

1.066E + 06

8.975E + 05

2.238E + 05

3.765E + 04

8.032E + 02

Best

7.605E + 03

2.225E + 04

5.225E + 03

5.096E + 03

1.182E + 05

9.087E + 03

2.919E + 04

2.071E + 04

9.449E + 05

2.825E + 04

1.166E + 04

1.469E + 03

Worst

1.872E + 05

7.443E + 05

3.914E + 06

1.884E + 06

2.026E + 06

1.860E + 06

1.758E + 06

4.423E + 06

3.981E + 06

7.381E + 05

1.511E + 05

4.269E + 03

Rank

2

4

11

7

10

5

8

9

12

6

3

1

F15

Ave

6.829E + 04

8.021E + 03

2.077E + 05

7.787E + 04

5.156E + 04

1.301E + 05

9.471E + 04

2.146E + 04

1.911E + 08

6.405E + 04

1.737E + 05

2.752E + 03

Std

4.586E + 04

9.615E + 03

1.649E + 05

3.567E + 04

3.062E + 04

1.949E + 05

5.258E + 04

6.614E + 03

9.117E + 07

4.002E + 04

9.015E + 04

9.848E + 02

Best

8.072E + 03

1.659E + 03

3.468E + 04

2.780E + 04

1.529E + 04

1.238E + 04

2.364E + 04

1.519E + 04

1.618E + 07

2.475E + 04

3.934E + 04

1.696E + 03

Worst

1.676E + 05

3.308E + 04

5.872E + 05

1.569E + 05

1.136E + 05

8.846E + 05

2.444E + 05

3.509E + 04

3.363E + 08

1.631E + 05

3.998E + 05

9.367E + 03

Rank

6

2

11

7

4

9

8

3

12

5

10

1

F16

Ave

3175.6419

2864.6308

3771.9360

3383.8883

3345.8875

3193.7475

3252.7742

4855.6554

5154.3382

3270.8437

2805.4281

2584.6473

Std

429.9832

298.9653

592.7776

280.1114

365.5902

486.0102

323.0632

1032.5207

324.8035

351.6901

428.3570

233.0739

Best

2425.2366

2210.8857

3106.6263

2722.2354

2761.7645

2505.4588

2617.0181

3356.7658

4541.8219

2564.1874

1975.0548

2049.4479

Worst

3945.8229

3304.9890

5310.9360

3735.1019

3767.1828

4418.1806

3778.9187

6613.9165

5620.9109

4003.6757

3616.9408

3053.3518

Rank

4

3

10

9

8

5

6

11

12

7

2

1

F17

Ave

2397.5599

2606.3295

2658.4199

2518.1441

2640.3216

2300.5276

2401.7174

3550.3685

3480.2497

2648.4641

2316.0067

2096.2868

Std

251.4000

256.6690

288.8123

316.3164

228.6026

259.5862

301.6049

688.0100

350.0231

219.4118

217.3942

184.6278

Best

1857.1365

2022.0996

2201.6420

1956.6759

2047.2521

1963.2543

1954.6091

2386.4196

2413.8635

2098.9281

2001.5227

1808.2824

Worst

2795.1968

3012.2911

3151.8034

3138.5765

2982.3611

2870.3323

3219.7852

4423.2107

3879.8989

2987.7886

2909.5392

2329.5352

Rank

4

7

10

6

8

2

5

12

11

9

3

1

F18

Ave

2.196E + 06

2.444E + 06

7.126E + 06

2.242E + 06

3.058E + 06

1.144E + 06

3.500E + 06

1.101E + 07

2.540E + 07

1.469E + 06

6.543E + 05

1.360E + 04

Std

2.938E + 06

3.156E + 06

8.732E + 06

3.375E + 06

4.298E + 06

1.114E + 06

2.525E + 06

1.141E + 07

1.064E + 07

8.213E + 05

4.989E + 05

8.622E + 03

Best

1.155E + 05

5.369E + 04

1.639E + 05

1.296E + 05

1.041E + 05

7.926E + 04

4.304E + 05

3.732E + 05

6.295E + 06

2.914E + 05

1.210E + 05

5.406E + 03

Worst

1.091E + 07

1.143E + 07

3.255E + 07

1.456E + 07

1.720E + 07

3.680E + 06

8.029E + 06

4.084E + 07

4.217E + 07

3.100E + 06

1.824E + 06

2.505E + 04

Rank

5

7

10

6

8

3

9

11

12

4

2

1

F19

Ave

8.572E + 06

8.307E + 03

6.957E + 06

5.368E + 05

9.055E + 05

8.910E + 06

1.492E + 06

1.775E + 06

2.893E + 08

6.348E + 05

8.557E + 04

3.762E + 03

Std

2.411E + 07

1.100E + 04

5.658E + 06

3.784E + 05

7.014E + 05

2.671E + 07

1.156E + 06

8.888E + 04

1.691E + 08

3.874E + 05

4.212E + 04

1.196E + 03

Best

3.318E + 03

2.034E + 03

1.047E + 06

9.659E + 04

8.499E + 03

8.056E + 04

2.922E + 05

1.621E + 06

5.081E + 07

3.857E + 04

1.210E + 04

1.966E + 03

Worst

9.637E + 07

5.362E + 04

2.382E + 07

1.437E + 06

2.504E + 06

1.172E + 08

4.050E + 06

1.935E + 06

6.857E + 08

1.533E + 06

1.530E + 05

1.069E + 04

Rank

10

2

9

4

6

11

7

8

12

5

3

1

F20

Ave

2684.6853

2817.5966

2955.9664

2852.8646

3004.1042

2646.5124

2626.6951

2734.1083

2924.1134

2693.3524

2523.3771

2395.3218

Std

136.5414

173.4071

149.7941

195.5261

231.0104

191.1978

199.5179

205.9055

95.4253

230.2799

179.7403

135.7985

Best

2400.6119

2541.4574

2712.1224

2355.2306

2534.6459

2306.1872

2342.4132

2308.7180

2724.1219

2193.5420

2158.2490

2211.1559

Worst

2894.2039

3152.2455

3301.2341

3215.8494

3440.5879

2982.8525

2975.3871

3098.6288

3158.4874

3111.3410

2837.5962

2437.8654

Rank

5

8

11

9

12

4

3

7

10

6

2

1

F21

Ave

2495.0140

2543.4689

2595.1513

2550.1752

2589.1329

2529.3685

2473.9158

2643.3748

2709.6139

2549.8522

2420.3104

2388.6272

Std

39.4258

61.8986

51.2448

50.9354

40.6553

40.2883

27.1043

54.7449

33.1335

49.1951

31.0362

65.0481

Best

2432.4175

2457.5473

2502.2677

2464.4466

2514.5785

2452.5180

2429.8940

2563.2657

2609.5053

2475.2025

2366.9397

2204.2430

Worst

2581.8905

2657.3682

2715.1921

2622.3455

2668.6988

2630.8722

2517.3818

2795.7971

2756.7864

2658.6565

2504.3243

2658.6565

Rank

4

6

10

8

9

5

3

11

12

7

2

1

F22

Ave

6109.8561

7049.7968

7497.8010

6183.1626

6075.6625

3542.5763

2399.3833

8626.2745

8450.1254

6049.6377

6244.6879

2300.0013

Std

1464.5003

1221.4694

2022.1267

1934.7364

2471.3402

1305.1334

52.3730

939.7920

319.6964

2081.5806

735.1593

0.0001

Best

2707.6686

2682.2575

2663.9489

2324.3727

2538.6859

2455.2465

2348.6327

6351.5468

7940.4044

2320.9101

5204.0229

2300.0011

Worst

7636.3954

8338.8288

10002.1862

8029.5623

8522.8724

7029.1515

2594.0805

10265.9072

9003.5627

8690.1685

8048.4270

2300.0017

Rank

6

9

10

7

5

3

2

12

11

4

8

1

F23

Ave

2965.4947

2996.4377

3111.7738

3134.4080

3037.1280

2931.2160

2926.2826

3490.0654

3299.2966

3138.3352

2755.9422

2745.7592

Std

58.8406

101.9410

127.0545

92.5111

128.1638

71.3144

52.9785

131.0001

63.2793

117.4633

24.8429

83.4068

Best

2827.0572

2853.7268

2879.4486

2956.7014

2867.2435

2813.7680

2812.9168

3282.8175

3154.1509

2885.6453

2710.7024

2400.0044

Worst

3087.7605

3171.9445

3332.6742

3334.5761

3412.6120

3067.4194

3032.0425

3700.5069

3384.4321

3328.7348

2801.6992

2805.3067

Rank

5

6

8

9

7

4

3

12

11

10

2

1

F24

Ave

3135.7638

3105.6899

3221.4059

3424.5504

3185.7998

3054.5138

3053.0035

3827.4739

3532.4220

3381.3365

2929.1165

2950.5972

Std

99.0560

109.4686

100.9139

111.0490

59.8385

51.3528

61.8780

139.8378

69.1839

160.1375

20.4225

32.8631

Best

3001.1931

2902.7451

3050.4266

3240.8308

3067.7619

2980.7664

2938.7462

3578.1437

3393.5560

3100.8671

2899.3903

2895.3582

Worst

3392.7942

3345.9161

3395.2952

3614.6389

3281.4267

3169.4179

3170.3926

4082.3328

3615.0356

3740.2089

2957.2468

2999.8603

Rank

6

5

8

10

7

4

3

12

11

9

1

2

F25

Ave

3211.2386

2912.6312

3038.9561

2927.6037

3046.9645

3088.7182

2960.2558

5347.8520

4317.3950

2922.2684

2898.1004

2888.9003

Std

189.1999

19.7671

42.1076

25.1724

43.5660

74.4351

22.9186

750.4546

151.3576

19.5747

15.5549

3.8665

Best

2977.2150

2885.5179

2976.4808

2892.7531

2973.0182

2993.5561

2918.0422

4009.7519

4021.1460

2886.6153

2884.0211

2883.4320

Worst

3651.3781

2949.0394

3124.0680

2982.9068

3125.9017

3301.9208

2994.5043

6767.6739

4605.1009

2952.6203

2937.6835

2944.3881

Rank

10

3

7

5

8

9

6

12

11

4

2

1

F26

Ave

7177.5898

6128.6915

8117.6243

7631.4761

6894.5618

6360.6456

4836.4678

10495.1393

10460.4689

6988.2442

4737.3528

3824.6362

Std

824.4703

1546.8440

833.0835

864.7109

1528.3168

1144.9286

1392.4522

588.1445

492.3812

1361.7652

387.2618

1388.3413

Best

5811.3798

2982.4986

6522.0429

4662.6442

3676.1662

4239.4786

3579.6881

9514.8141

9414.4121

3229.3168

4259.8877

2800.0085

Worst

9376.1716

7954.9727

9774.8328

8790.8118

8616.2368

8460.1084

7979.2909

11364.0104

11141.6114

8756.2478

5779.2272

6532.4757

Rank

8

4

10

9

6

5

3

12

11

7

2

1

F27

Ave

3373.5047

3277.6497

3437.7518

3432.7866

3433.4308

3356.8544

3343.1111

4457.8746

3890.2176

3389.2486

3230.5663

3308.6936

Std

81.9472

32.7986

104.4579

116.8794

125.4298

67.5992

52.3217

287.4731

109.7212

106.7578

13.4763

67.6797

Best

3262.2010

3217.3184

3265.0651

3249.3937

3303.7075

3255.1634

3252.0419

3906.0438

3631.9751

3235.2373

3208.9560

3216.9018

Worst

3632.4337

3325.7841

3646.1658

3678.1669

3700.3381

3526.5854

3464.8142

4987.8711

4057.9684

3583.3277

3254.6518

3501.9857

Rank

6

2

10

8

9

5

4

12

11

7

1

3

F28

Ave

4258.5695

3274.6367

3455.7334

3304.3000

3514.4206

3508.7626

3373.1211

6758.8366

6333.3964

3285.7390

3259.0707

3203.8239

Std

684.3681

26.4744

73.6077

31.2571

113.5801

149.5453

44.4038

847.1102

297.8431

27.1039

42.5163

16.6326

Best

3353.3882

3213.9182

3375.7620

3252.5198

3328.4440

3276.1625

3316.1926

5158.4442

5597.6340

3228.9611

3206.2804

3141.6422

Worst

5961.2007

3325.2994

3608.0957

3368.3748

3830.9219

3831.3515

3464.6534

8110.9727

6805.3403

3352.9978

3339.7512

3257.4963

Rank

10

3

7

5

9

8

6

12

11

4

2

1

F29

Ave

4672.2286

4300.6611

4892.7109

4608.7586

4933.8050

4552.3682

4527.9831

6373.5770

6596.6544

4464.6782

4016.1799

3751.9158

Std

263.9605

260.0620

529.8430

408.6676

301.8095

358.3775

319.9550

955.9632

548.1144

320.0715

207.8239

135.2264

Best

4210.6044

3781.3729

4115.1667

4169.8561

4272.6269

3835.2997

3978.6854

4936.8693

5533.2657

4080.9198

3658.9006

3461.4182

Worst

5219.4107

4797.1159

6077.6722

5653.0543

5721.8974

5404.2310

5277.7161

8625.2794

7500.7505

5427.7954

4334.5970

3959.5377

Rank

8

3

9

7

10

6

5

11

12

4

2

1

F30

Ave

6.884E + 06

2.116E + 04

2.930E + 07

3.939E + 06

1.572E + 07

1.167E + 07

1.011E + 07

1.291E + 09

7.671E + 08

3.144E + 06

1.017E + 06

1.442E + 04

Std

6.403E + 06

8.307E + 03

2.309E + 07

3.084E + 06

7.532E + 06

6.361E + 06

8.489E + 06

1.272E + 09

2.961E + 08

1.370E + 06

7.075E + 05

7.865E + 03

Best

1.424E + 05

8.302E + 03

7.179E + 06

1.027E + 06

1.806E + 06

2.371E + 06

9.072E + 05

8.538E + 07

3.483E + 08

6.671E + 05

1.071E + 05

7.018E + 03

Worst

2.669E + 07

3.773E + 04

1.138E + 08

1.512E + 07

2.942E + 07

2.411E + 07

3.002E + 07

4.277E + 09

1.377E + 09

5.186E + 06

2.398E + 06

5.081E + 04

Rank

6

2

10

5

9

8

7

12

11

4

3

1

Average rank

6.2069

5

9.4828

6.7241

8.2759

6.0345

5.0345

10.6207

11.3103

5.4828

2.6552

1.1724

Final rank

7

3

10

8

9

6

4

11

12

5

2

1

  1. The bold represents the optimal values of the evaluation indicators