Table 4 Results of ten algorithm runs on the initial matrix A (Order 4), showing minimal standard deviation and mean values for the corrected elements, Consistency Ratio (CR), and Objective Function Value (OFV).

From: Repairing the inconsistent pairwise comparison matrix using a cosine distance and grey wolf optimiser-based framework in multi-criteria decision-making

 

\({a}_{21}\)

\({a}_{31}\)

\({a}_{32}\)

\({a}_{41}\)

\({a}_{42}\)

\({a}_{43}\)

CR

Difference

OFV

1

3.1286

6.8742

3.0001

0.6706

0.2000

0.1178

0.010764

0.037035

0.066097

2

3.3319

7.2791

3.0001

0.7138

0.2000

0.1149

0.009936

0.039412

0.066239

3

3.2501

7.1240

3.0000

0.6980

0.2000

0.1161

0.010267

0.038395

0.066116

4

3.1636

7.0372

3.0002

0.6925

0.2000

0.1166

0.010178

0.038593

0.066074

5

3.1998

7.0893

3.0002

0.6947

0.2000

0.1165

0.010229

0.038457

0.066076

6

3.1745

7.0729

3.0007

0.6848

0.2000

0.1163

0.010223

0.038479

0.066080

7

3.1982

7.0242

3.0003

0.6915

0.2000

0.1163

0.010264

0.038369

0.066082

8

3.1362

7.0431

3.0001

0.6727

0.2000

0.1160

0.010121

0.038760

0.066088

9

3.1869

7.0347

3.0004

0.6853

0.2000

0.1164

0.010338

0.038160

0.066072

10

3.1130

6.9045

3.0000

0.6643

0.2000

0.1173

0.010510

0.037732

0.066109

Mean

3.1883

7.0483

3.0002

0.6869

0.2000

0.1164

0.010283

0.038339

0.066103

SD

\(6.4\times {10}^{-2}\)

\(1.1\times {10}^{-1}\)

\(2.1\times {10}^{-4}\)

\(1.5\times {10}^{-2}\)

\(0.0000\)

\(7.7\times {10}^{-4}\)

\(2.2\times {10}^{-4}\)

\(6.3\times {10}^{-4}\)

\(5.0\times {10}^{-5}\)