Table 4 Inconsistent and consistent comparison matrices and weights obtained before and after applying the Generalized Reduced Gradient (GRG) algorithm
\({\varvec{C}}_{\varvec{j}}\) | Original inconsistent comparison matrix | Consistent comparison matrix (after GRG) | ||||||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
\({\varvec{C}}_{1}\) | \({\varvec{C}}_{2}\) | \({\varvec{C}}_{3}\) | \({\varvec{C}}_{4}\) | \({\varvec{C}}_{5}\) | \({\varvec{C}}_{6}\) | \({\varvec{C}}_{7}\) | \({\varvec{C}}_{1}\) | \({\varvec{C}}_{2}\) | \({\varvec{C}}_{3}\) | \({\varvec{C}}_{4}\) | \({\varvec{C}}_{5}\) | \({\varvec{C}}_{6}\) | \({\varvec{C}}_{7}\) | |
C 1 | 1 | 1.000 | 5.000 | 5.000 | 0.333 | 1.000 | 0.333 | 1 | 1.053 | 4.422 | 4.634 | 0.361 | 0.928 | 0.374 |
C 2 | 1 | 3.000 | 5.000 | 0.333 | 0.333 | 0.200 | 1 | 2.765 | 4.354 | 0.344 | 0.353 | 0.233 | ||
C 3 | 1 | 5.000 | 0.200 | 0.200 | 0.200 | 1 | 3.649 | 0.201 | 0.206 | 0.207 | ||||
C 4 | 1 | 0.200 | 0.200 | 1.000 | 1 | 0.189 | 0.194 | 0.643 | ||||||
C 5 | 1 | 1.000 | 1.000 | 1 | 1.025 | 1.030 | ||||||||
C 6 | 1 | 1.000 | 1 | 1.003 | ||||||||||
C 7 | 1 | 1 | ||||||||||||
W | 0.136 | 0.099 | 0.060 | 0.056 | 0.227 | 0.199 | 0.223 | 0.136 | 0.099 | 0.056 | 0.047 | 0.235 | 0.206 | 0.222 |