Figure 1.

Figure 2.

Figure 3.

Figure 4.

Figure 5.

Figure A1.

j_mdke-2026-0008_tab_002b
| Alternatives | 2021 | 2022 | 2023 | ||||||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| C1 | C2 | C3 | C4 | C5 | C1 | C2 | C3 | C4 | C5 | C1 | C2 | C3 | C4 | C5 | |
| A1 | 0.22 | 0.24 | 0.22 | 0.23 | 0.23 | 0.21 | 0.24 | 0.22 | 0.23 | 0.23 | 0.22 | 0.24 | 0.22 | 0.23 | 0.23 |
| A2 | 0.19 | 0.24 | 0.14 | 0.14 | 0.15 | 0.18 | 0.24 | 0.14 | 0.16 | 0.14 | 0.19 | 0.23 | 0.13 | 0.15 | 0.13 |
| A3 | 0.16 | 0.16 | 0.22 | 0.17 | 0.21 | 0.15 | 0.14 | 0.22 | 0.15 | 0.21 | 0.16 | 0.19 | 0.22 | 0.19 | 0.21 |
| A4 | 0.12 | 0.09 | 0.17 | 0.14 | 0.12 | 0.12 | 0.11 | 0.18 | 0.16 | 0.13 | 0.12 | 0.08 | 0.18 | 0.15 | 0.15 |
| A5 | 0.16 | 0.12 | 0.22 | 0.21 | 0.18 | 0.15 | 0.09 | 0.22 | 0.21 | 0.18 | 0.16 | 0.08 | 0.22 | 0.21 | 0.19 |
| A6 | 0.18 | 0.24 | 0.17 | 0.24 | 0.22 | 0.20 | 0.22 | 0.15 | 0.23 | 0.22 | 0.20 | 0.18 | 0.15 | 0.23 | 0.21 |
| A7 | 0.15 | 0.16 | 0.14 | 0.23 | 0.20 | 0.17 | 0.17 | 0.15 | 0.23 | 0.20 | 0.16 | 0.16 | 0.14 | 0.23 | 0.21 |
| A8 | 0.11 | 0.08 | 0.17 | 0.13 | 0.13 | 0.11 | 0.17 | 0.16 | 0.14 | 0.13 | 0.11 | 0.14 | 0.20 | 0.13 | 0.15 |
| A9 | 0.19 | 0.22 | 0.22 | 0.17 | 0.23 | 0.19 | 0.21 | 0.22 | 0.19 | 0.23 | 0.19 | 0.21 | 0.22 | 0.18 | 0.23 |
| A10 | 0.24 | 0.19 | 0.21 | 0.22 | 0.21 | 0.24 | 0.18 | 0.21 | 0.22 | 0.22 | 0.23 | 0.21 | 0.21 | 0.21 | 0.22 |
| A11 | 0.20 | 0.23 | 0.22 | 0.21 | 0.20 | 0.19 | 0.19 | 0.22 | 0.19 | 0.20 | 0.19 | 0.18 | 0.22 | 0.19 | 0.20 |
| A12 | 0.21 | 0.25 | 0.22 | 0.20 | 0.23 | 0.20 | 0.22 | 0.19 | 0.19 | 0.22 | 0.21 | 0.25 | 0.21 | 0.21 | 0.23 |
| A13 | 0.18 | 0.15 | 0.13 | 0.21 | 0.16 | 0.17 | 0.05 | 0.14 | 0.20 | 0.15 | 0.18 | 0.05 | 0.14 | 0.20 | 0.16 |
| A14 | 0.17 | 0.21 | 0.07 | 0.14 | 0.17 | 0.15 | 0.09 | 0.07 | 0.13 | 0.17 | 0.15 | 0.09 | 0.07 | 0.12 | 0.17 |
| A15 | 0.19 | 0.19 | 0.21 | 0.22 | 0.22 | 0.20 | 0.23 | 0.20 | 0.21 | 0.21 | 0.21 | 0.24 | 0.21 | 0.21 | 0.19 |
| A16 | 0.18 | 0.19 | 0.17 | 0.19 | 0.19 | 0.20 | 0.20 | 0.16 | 0.18 | 0.18 | 0.20 | 0.24 | 0.16 | 0.18 | 0.20 |
| A17 | 0.20 | 0.23 | 0.22 | 0.21 | 0.14 | 0.18 | 0.17 | 0.22 | 0.18 | 0.16 | 0.18 | 0.14 | 0.22 | 0.18 | 0.16 |
| A18 | 0.20 | 0.24 | 0.18 | 0.17 | 0.07 | 0.20 | 0.23 | 0.18 | 0.17 | 0.10 | 0.20 | 0.24 | 0.18 | 0.15 | 0.09 |
| A19 | 0.16 | 0.13 | 0.13 | 0.18 | 0.07 | 0.18 | 0.24 | 0.13 | 0.19 | 0.12 | 0.17 | 0.24 | 0.12 | 0.16 | 0.13 |
| A20 | 0.17 | 0.10 | 0.20 | 0.17 | 0.21 | 0.17 | 0.14 | 0.20 | 0.15 | 0.20 | 0.15 | 0.15 | 0.22 | 0.17 | 0.14 |
| A21 | 0.22 | 0.16 | 0.21 | 0.13 | 0.18 | 0.21 | 0.22 | 0.20 | 0.13 | 0.19 | 0.20 | 0.19 | 0.15 | 0.15 | 0.19 |
| A22 | 0.20 | 0.03 | 0.17 | 0.22 | 0.19 | 0.20 | 0.02 | 0.16 | 0.22 | 0.21 | 0.20 | 0.03 | 0.17 | 0.21 | 0.22 |
| A23 | 0.22 | 0.22 | 0.21 | 0.19 | 0.24 | 0.23 | 0.24 | 0.22 | 0.20 | 0.23 | 0.23 | 0.24 | 0.22 | 0.23 | 0.24 |
| A24 | 0.15 | 0.20 | 0.17 | 0.07 | 0.06 | 0.14 | 0.19 | 0.21 | 0.15 | 0.06 | 0.15 | 0.17 | 0.21 | 0.16 | 0.13 |
| A25 | 0.18 | 0.21 | 0.20 | 0.17 | 0.22 | 0.18 | 0.19 | 0.21 | 0.18 | 0.22 | 0.18 | 0.18 | 0.21 | 0.17 | 0.22 |
| A26 | 0.19 | 0.06 | 0.22 | 0.21 | 0.24 | 0.19 | 0.05 | 0.21 | 0.20 | 0.23 | 0.20 | 0.11 | 0.21 | 0.20 | 0.15 |
| A27 | 0.22 | 0.23 | 0.21 | 0.15 | 0.19 | 0.23 | 0.22 | 0.21 | 0.15 | 0.17 | 0.23 | 0.22 | 0.21 | 0.15 | 0.17 |
| A28 | 0.16 | 0.17 | 0.10 | 0.12 | 0.04 | 0.15 | 0.17 | 0.14 | 0.16 | 0.04 | 0.15 | 0.18 | 0.14 | 0.16 | 0.07 |
| A29 | 0.19 | 0.15 | 0.17 | 0.22 | 0.23 | 0.21 | 0.23 | 0.15 | 0.22 | 0.23 | 0.20 | 0.21 | 0.14 | 0.21 | 0.24 |
j_mdke-2026-0008_tab_003b
| Alternatives | 2021 | 2022 | 2023 | ||||||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| C1 | C2 | C3 | C4 | C5 | C1 | C2 | C3 | C4 | C5 | C1 | C2 | C3 | C4 | C5 | |
| A1 | −0.33 | −0.34 | −0.33 | −0.34 | −0.34 | −0.33 | −0.34 | −0.33 | −0.34 | −0.34 | −0.33 | −0.34 | −0.33 | −0.34 | −0.34 |
| A2 | −0.31 | −0.34 | −0.27 | −0.27 | −0.28 | −0.31 | −0.34 | −0.27 | −0.29 | −0.27 | −0.31 | −0.34 | −0.26 | −0.28 | −0.27 |
| A3 | −0.29 | −0.29 | −0.33 | −0.30 | −0.33 | −0.29 | −0.28 | −0.33 | −0.28 | −0.33 | −0.29 | −0.31 | −0.33 | −0.32 | −0.33 |
| A4 | −0.26 | −0.22 | −0.30 | −0.27 | −0.26 | −0.25 | −0.25 | −0.31 | −0.29 | −0.27 | −0.26 | −0.20 | −0.31 | −0.28 | −0.28 |
| A5 | −0.30 | −0.25 | −0.33 | −0.33 | −0.31 | −0.28 | −0.21 | −0.33 | −0.32 | −0.31 | −0.30 | −0.20 | −0.33 | −0.33 | −0.31 |
| A6 | −0.31 | −0.34 | −0.30 | −0.34 | −0.33 | −0.32 | −0.33 | −0.29 | −0.34 | −0.33 | −0.32 | −0.31 | −0.29 | −0.34 | −0.33 |
| A7 | −0.28 | −0.29 | −0.27 | −0.34 | −0.32 | −0.30 | −0.30 | −0.29 | −0.34 | −0.32 | −0.30 | −0.29 | −0.27 | −0.34 | −0.33 |
| A8 | −0.24 | −0.20 | −0.30 | −0.27 | −0.27 | −0.25 | −0.30 | −0.29 | −0.28 | −0.27 | −0.24 | −0.28 | −0.32 | −0.27 | −0.29 |
| A9 | −0.32 | −0.33 | −0.33 | −0.30 | −0.34 | −0.32 | −0.33 | −0.33 | −0.31 | −0.34 | −0.32 | −0.33 | −0.33 | −0.31 | −0.34 |
| A10 | −0.34 | −0.32 | −0.33 | −0.34 | −0.33 | −0.34 | −0.31 | −0.33 | −0.33 | −0.33 | −0.34 | −0.33 | −0.33 | −0.33 | −0.33 |
| A11 | −0.32 | −0.34 | −0.33 | −0.33 | −0.32 | −0.32 | −0.32 | −0.33 | −0.32 | −0.32 | −0.31 | −0.31 | −0.33 | −0.31 | −0.32 |
| A12 | −0.33 | −0.35 | −0.33 | −0.32 | −0.34 | −0.32 | −0.33 | −0.32 | −0.32 | −0.34 | −0.33 | −0.35 | −0.33 | −0.33 | −0.34 |
| A13 | −0.31 | −0.28 | −0.26 | −0.33 | −0.29 | −0.30 | −0.16 | −0.28 | −0.32 | −0.29 | −0.31 | −0.16 | −0.28 | −0.32 | −0.29 |
| A14 | −0.30 | −0.33 | −0.19 | −0.27 | −0.30 | −0.28 | −0.22 | −0.19 | −0.27 | −0.30 | −0.28 | −0.21 | −0.19 | −0.26 | −0.30 |
| A15 | −0.32 | −0.32 | −0.33 | −0.33 | −0.33 | −0.32 | −0.34 | −0.32 | −0.33 | −0.33 | −0.33 | −0.34 | −0.33 | −0.33 | −0.32 |
| A16 | −0.31 | −0.32 | −0.30 | −0.31 | −0.31 | −0.32 | −0.32 | −0.30 | −0.31 | −0.31 | −0.32 | −0.34 | −0.29 | −0.31 | −0.32 |
| A17 | −0.32 | −0.34 | −0.33 | −0.33 | −0.27 | −0.31 | −0.30 | −0.33 | −0.31 | −0.29 | −0.31 | −0.27 | −0.33 | −0.31 | −0.29 |
| A18 | −0.32 | −0.34 | −0.31 | −0.30 | −0.19 | −0.32 | −0.34 | −0.31 | −0.30 | −0.23 | −0.32 | −0.34 | −0.31 | −0.29 | −0.22 |
| A19 | −0.29 | −0.27 | −0.27 | −0.31 | −0.19 | −0.31 | −0.34 | −0.26 | −0.32 | −0.25 | −0.30 | −0.34 | −0.25 | −0.29 | −0.27 |
| A20 | −0.30 | −0.24 | −0.32 | −0.30 | −0.33 | −0.30 | −0.28 | −0.32 | −0.29 | −0.32 | −0.29 | −0.28 | −0.33 | −0.30 | −0.28 |
| A21 | −0.33 | −0.29 | −0.33 | −0.27 | −0.31 | −0.33 | −0.33 | −0.32 | −0.27 | −0.32 | −0.32 | −0.32 | −0.28 | −0.29 | −0.32 |
| A22 | −0.32 | −0.09 | −0.30 | −0.33 | −0.32 | −0.32 | −0.09 | −0.30 | −0.33 | −0.33 | −0.32 | −0.09 | −0.30 | −0.33 | −0.33 |
| A23 | −0.33 | −0.33 | −0.33 | −0.31 | −0.34 | −0.34 | −0.34 | −0.33 | −0.32 | −0.34 | −0.34 | −0.34 | −0.33 | −0.34 | −0.34 |
| A24 | −0.28 | −0.32 | −0.30 | −0.19 | −0.17 | −0.27 | −0.32 | −0.33 | −0.28 | −0.17 | −0.29 | −0.30 | −0.33 | −0.30 | −0.27 |
| A25 | −0.31 | −0.33 | −0.32 | −0.30 | −0.33 | −0.31 | −0.31 | −0.33 | −0.31 | −0.33 | −0.31 | −0.31 | −0.33 | −0.30 | −0.33 |
| A26 | −0.31 | −0.17 | −0.33 | −0.33 | −0.34 | −0.32 | −0.16 | −0.33 | −0.32 | −0.34 | −0.32 | −0.24 | −0.33 | −0.32 | −0.29 |
| A27 | −0.34 | −0.34 | −0.33 | −0.29 | −0.31 | −0.34 | −0.33 | −0.33 | −0.29 | −0.30 | −0.34 | −0.33 | −0.33 | −0.29 | −0.30 |
| A28 | −0.30 | −0.30 | −0.23 | −0.26 | −0.12 | −0.29 | −0.30 | −0.27 | −0.30 | −0.13 | −0.28 | −0.31 | −0.27 | −0.29 | −0.18 |
| A29 | −0.32 | −0.28 | −0.30 | −0.33 | −0.34 | −0.33 | −0.34 | −0.29 | −0.33 | −0.34 | −0.32 | −0.33 | −0.27 | −0.33 | −0.34 |
j_mdke-2026-0008_tab_001b
| Alternatives | 2021 | 2022 | 2023 | ||||||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| C1 | C2 | C3 | C4 | C5 | C1 | C2 | C3 | C4 | C5 | C1 | C2 | C3 | C4 | C5 | |
| A1 | 7367 | 9266 | 9902 | 9415 | 9014 | 7049 | 9224 | 9880 | 9497 | 9382 | 7410 | 8896 | 9855 | 9392 | 9374 |
| A2 | 5293 | 9160 | 3774 | 3303 | 3715 | 5237 | 9183 | 3906 | 4432 | 3475 | 5586 | 8150 | 3402 | 3851 | 3032 |
| A3 | 3791 | 4018 | 9633 | 4908 | 7850 | 3544 | 3190 | 9626 | 3940 | 7942 | 3843 | 5492 | 9639 | 6647 | 7813 |
| A4 | 2295 | 1370 | 5797 | 3415 | 2568 | 2257 | 2125 | 6994 | 4543 | 3063 | 2408 | 1009 | 6887 | 3910 | 3693 |
| A5 | 4012 | 2191 | 9783 | 7751 | 5335 | 3507 | 1233 | 9783 | 7714 | 5660 | 4165 | 952 | 9783 | 7960 | 6067 |
| A6 | 4977 | 8683 | 5625 | 9849 | 8477 | 6098 | 7762 | 4768 | 9940 | 8671 | 6414 | 4768 | 4768 | 9849 | 7562 |
| A7 | 3197 | 3906 | 3906 | 9712 | 6966 | 4281 | 4900 | 4900 | 9635 | 7290 | 4154 | 3906 | 3906 | 9641 | 7951 |
| A8 | 1768 | 909 | 6089 | 3208 | 3149 | 2051 | 4676 | 5240 | 3676 | 3092 | 1828 | 3058 | 8664 | 3215 | 4064 |
| A9 | 5740 | 7604 | 9864 | 5162 | 9596 | 5791 | 7120 | 9864 | 6285 | 9460 | 5835 | 7086 | 9864 | 5891 | 9500 |
| A10 | 8913 | 5914 | 8688 | 8938 | 7877 | 8658 | 5399 | 8821 | 8949 | 8823 | 8558 | 6815 | 8757 | 7836 | 8138 |
| A11 | 5814 | 8387 | 9797 | 7533 | 7245 | 5834 | 6065 | 9720 | 6686 | 7086 | 5537 | 5216 | 9728 | 6273 | 6879 |
| A12 | 6508 | 9633 | 9571 | 7200 | 9042 | 6384 | 7732 | 7825 | 6706 | 9126 | 7051 | 9645 | 9245 | 7590 | 9076 |
| A13 | 5144 | 3402 | 3402 | 8021 | 4268 | 4721 | 459 | 4133 | 7424 | 4341 | 4942 | 459 | 4133 | 6992 | 4315 |
| A14 | 4194 | 6602 | 1089 | 3383 | 5117 | 3325 | 1441 | 1156 | 3109 | 5170 | 3429 | 1132 | 1089 | 2623 | 4932 |
| A15 | 5706 | 5825 | 9111 | 8523 | 8256 | 6165 | 8964 | 8403 | 8460 | 8230 | 6706 | 8985 | 8694 | 7672 | 6311 |
| A16 | 5015 | 5625 | 5831 | 6183 | 6230 | 6453 | 6711 | 5655 | 5787 | 6153 | 6437 | 8845 | 5061 | 5573 | 6901 |
| A17 | 6309 | 8361 | 9817 | 7799 | 3321 | 5147 | 4478 | 9704 | 5877 | 4591 | 5018 | 2934 | 9688 | 5784 | 4332 |
| A18 | 6252 | 9366 | 6944 | 5323 | 936 | 6065 | 8813 | 6677 | 5104 | 1865 | 6390 | 9120 | 6446 | 4282 | 1410 |
| A19 | 3905 | 2796 | 3686 | 5589 | 890 | 5222 | 9530 | 3313 | 6745 | 2500 | 4484 | 8940 | 2874 | 4593 | 3147 |
| A20 | 4434 | 1687 | 8540 | 4986 | 7716 | 4433 | 3216 | 8540 | 4151 | 7635 | 3641 | 3296 | 9874 | 5383 | 3490 |
| A21 | 7069 | 3798 | 8817 | 3192 | 5445 | 6999 | 7877 | 8521 | 3297 | 6688 | 6543 | 5721 | 4504 | 4087 | 6394 |
| A22 | 5855 | 100 | 5625 | 8447 | 6616 | 6228 | 100 | 5625 | 8658 | 8181 | 6311 | 100 | 5878 | 7611 | 8021 |
| A23 | 7300 | 7739 | 9245 | 6292 | 9685 | 8316 | 9392 | 9630 | 7100 | 9694 | 8446 | 8866 | 9610 | 9347 | 9730 |
| A24 | 3315 | 5940 | 5685 | 928 | 700 | 2890 | 6073 | 8776 | 3861 | 638 | 3576 | 4716 | 8705 | 4778 | 3036 |
| A25 | 4754 | 6626 | 8314 | 4987 | 8268 | 5107 | 5663 | 9368 | 6103 | 8429 | 5104 | 4886 | 9399 | 5358 | 8154 |
| A26 | 5341 | 572 | 9756 | 7606 | 9864 | 5750 | 476 | 9555 | 7672 | 9203 | 6260 | 1877 | 9421 | 7150 | 4138 |
| A27 | 7604 | 8486 | 9132 | 4039 | 6183 | 8236 | 7877 | 8959 | 4352 | 5421 | 8246 | 7273 | 8750 | 4146 | 4951 |
| A28 | 4099 | 4721 | 2177 | 2726 | 244 | 3637 | 4707 | 3944 | 4986 | 268 | 3349 | 5150 | 3946 | 4375 | 738 |
| A29 | 5709 | 3476 | 6162 | 8219 | 9567 | 6902 | 8245 | 4889 | 8549 | 9616 | 6082 | 7007 | 3783 | 8212 | 9628 |
j_mdke-2026-0008_tab_004b
| Alternatives | 2021 | 2022 | 2023 | ||||||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| C1 | C2 | C3 | C4 | C5 | C1 | C2 | C3 | C4 | C5 | C1 | C2 | C3 | C4 | C5 | |
| v+j | 0.01 | 0.01 | 0.01 | 0.00 | 0.00 | 0.01 | 0.01 | 0.01 | 0.00 | 0.00 | 0.01 | 0.01 | 0.01 | 0.00 | 0.00 |
| v−j | 0.00 | 0.00 | 0.00 | 0.01 | 0.01 | 0.00 | 0.00 | 0.00 | 0.01 | 0.01 | 0.00 | 0.00 | 0.00 | 0.01 | 0.01 |
The closeness coefficient s+, s− and rank
| Alternatives | Si+ | Si− | Ci | Rank | Alternatives | Si+ | Si− | Ci | Rank |
|---|---|---|---|---|---|---|---|---|---|
| A1 | 0.02 | 0.02 | 0.54 | 12 | A16 | 0.02 | 0.02 | 0.55 | 10 |
| A2 | 0.01 | 0.02 | 0.65 | 1 | A17 | 0.02 | 0.02 | 0.58 | 8 |
| A3 | 0.02 | 0.02 | 0.49 | 19 | A18 | 0.01 | 0.02 | 0.63 | 2 |
| A4 | 0.02 | 0.02 | 0.48 | 20 | A19 | 0.01 | 0.02 | 0.59 | 7 |
| A5 | 0.02 | 0.02 | 0.50 | 17 | A20 | 0.02 | 0.02 | 0.46 | 24 |
| A6 | 0.02 | 0.02 | 0.44 | 25 | A21 | 0.01 | 0.02 | 0.60 | 6 |
| A7 | 0.02 | 0.01 | 0.41 | 27 | A22 | 0.03 | 0.01 | 0.34 | 29 |
| A8 | 0.02 | 0.02 | 0.47 | 22 | A23 | 0.02 | 0.02 | 0.55 | 11 |
| A9 | 0.02 | 0.02 | 0.52 | 15 | A24 | 0.02 | 0.02 | 0.60 | 5 |
| A10 | 0.02 | 0.02 | 0.52 | 14 | A25 | 0.02 | 0.02 | 0.47 | 23 |
| A11 | 0.02 | 0.02 | 0.55 | 9 | A26 | 0.02 | 0.02 | 0.39 | 28 |
| A12 | 0.02 | 0.02 | 0.53 | 13 | A27 | 0.01 | 0.02 | 0.61 | 4 |
| A13 | 0.02 | 0.01 | 0.42 | 26 | A28 | 0.01 | 0.02 | 0.62 | 3 |
| A14 | 0.02 | 0.02 | 0.48 | 21 | A29 | 0.02 | 0.02 | 0.49 | 18 |
| A15 | 0.02 | 0.02 | 0.52 | 16 |
Entropy results
| Alternatives | 2018 | 2019 | 2020 | ||||||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| C1 | C2 | C3 | C4 | C5 | C1 | C2 | C3 | C4 | C5 | C1 | C2 | C3 | C4 | C5 | |
| A1 | −0.34 | −0.34 | −0.34 | −0.33 | −0.35 | −0.34 | −0.35 | −0.34 | −0.34 | −0.35 | −0.34 | −0.34 | −0.34 | −0.34 | −0.34 |
| A2 | −0.27 | −0.34 | −0.31 | −0.16 | −0.02 | −0.29 | −0.35 | −0.30 | −0.24 | −0.28 | −0.31 | −0.34 | −0.29 | −0.27 | −0.30 |
| A3 | −0.31 | −0.30 | −0.34 | −0.32 | −0.35 | −0.31 | −0.32 | −0.34 | −0.31 | −0.34 | −0.30 | −0.29 | −0.34 | −0.30 | −0.33 |
| A4 | −0.25 | −0.24 | −0.25 | −0.20 | −0.19 | −0.26 | −0.21 | −0.24 | −0.20 | −0.19 | −0.24 | −0.21 | −0.21 | −0.23 | −0.25 |
| A5 | −0.25 | −0.30 | −0.29 | −0.27 | −0.17 | −0.25 | −0.29 | −0.34 | −0.28 | −0.18 | −0.28 | −0.29 | −0.33 | −0.33 | −0.28 |
| A6 | −0.25 | −0.17 | −0.20 | −0.22 | −0.24 | −0.27 | −0.28 | −0.26 | −0.33 | −0.31 | −0.27 | −0.33 | −0.29 | −0.34 | −0.30 |
| A7 | −0.29 | −0.33 | −0.22 | −0.31 | −0.31 | −0.28 | −0.29 | −0.28 | −0.31 | −0.32 | −0.30 | −0.29 | −0.30 | −0.34 | −0.32 |
| A8 | −0.20 | −0.14 | −0.29 | −0.26 | −0.26 | −0.21 | −0.25 | −0.29 | −0.28 | −0.23 | −0.27 | −0.27 | −0.31 | −0.27 | −0.24 |
| A9 | −0.32 | −0.34 | −0.31 | −0.33 | −0.35 | −0.31 | −0.34 | −0.30 | −0.32 | −0.34 | −0.31 | −0.34 | −0.34 | −0.30 | −0.34 |
| A10 | −0.35 | −0.32 | −0.34 | −0.35 | −0.34 | −0.35 | −0.33 | −0.34 | −0.35 | −0.34 | −0.35 | −0.32 | −0.33 | −0.34 | −0.33 |
| A11 | −0.32 | −0.34 | −0.31 | −0.32 | −0.32 | −0.32 | −0.34 | −0.31 | −0.31 | −0.32 | −0.33 | −0.34 | −0.34 | −0.32 | −0.33 |
| A12 | −0.32 | −0.31 | −0.33 | −0.33 | −0.35 | −0.32 | −0.34 | −0.34 | −0.33 | −0.34 | −0.32 | −0.34 | −0.33 | −0.34 | −0.34 |
| A13 | −0.32 | −0.26 | −0.22 | −0.30 | −0.15 | −0.29 | −0.26 | −0.22 | −0.32 | −0.24 | −0.32 | −0.26 | −0.21 | −0.32 | −0.28 |
| A14 | −0.30 | −0.30 | −0.28 | −0.19 | −0.24 | −0.29 | −0.25 | −0.23 | −0.25 | −0.24 | −0.29 | −0.32 | −0.22 | −0.27 | −0.30 |
| A15 | −0.33 | −0.34 | −0.33 | −0.34 | −0.34 | −0.33 | −0.33 | −0.32 | −0.34 | −0.34 | −0.33 | −0.32 | −0.33 | −0.33 | −0.34 |
| A16 | −0.29 | −0.34 | −0.32 | −0.30 | −0.28 | −0.32 | −0.33 | −0.32 | −0.32 | −0.32 | −0.32 | −0.33 | −0.31 | −0.32 | −0.32 |
| A17 | −0.33 | −0.32 | −0.32 | −0.34 | −0.29 | −0.32 | −0.32 | −0.32 | −0.33 | −0.27 | −0.32 | −0.34 | −0.33 | −0.33 | −0.27 |
| A18 | −0.33 | −0.34 | −0.26 | −0.35 | −0.26 | −0.33 | −0.35 | −0.27 | −0.34 | −0.27 | −0.33 | −0.34 | −0.32 | −0.32 | −0.24 |
| A19 | −0.29 | −0.33 | −0.34 | −0.28 | −0.23 | −0.29 | −0.33 | −0.29 | −0.32 | −0.23 | −0.28 | −0.32 | −0.28 | −0.31 | −0.23 |
| A20 | −0.31 | −0.26 | −0.34 | −0.31 | −0.35 | −0.31 | −0.25 | −0.34 | −0.30 | −0.35 | −0.31 | −0.26 | −0.33 | −0.30 | −0.34 |
| A21 | −0.32 | −0.26 | −0.31 | −0.16 | −0.27 | −0.31 | −0.23 | −0.29 | −0.16 | −0.26 | −0.31 | −0.26 | −0.30 | −0.16 | −0.27 |
| A22 | −0.32 | −0.16 | −0.32 | −0.35 | −0.32 | −0.33 | −0.13 | −0.32 | −0.34 | −0.33 | −0.32 | −0.09 | −0.31 | −0.33 | −0.32 |
| A23 | −0.34 | −0.34 | −0.34 | −0.32 | −0.35 | −0.34 | −0.34 | −0.34 | −0.31 | −0.35 | −0.33 | −0.34 | −0.33 | −0.32 | −0.34 |
| A24 | −0.25 | −0.28 | −0.20 | −0.24 | −0.03 | −0.24 | −0.26 | −0.22 | −0.17 | −0.04 | −0.24 | −0.26 | −0.22 | −0.16 | −0.12 |
| A25 | −0.31 | −0.29 | −0.34 | −0.35 | −0.35 | −0.31 | −0.25 | −0.33 | −0.33 | −0.34 | −0.30 | −0.26 | −0.33 | −0.31 | −0.34 |
| A26 | −0.32 | −0.20 | −0.34 | −0.34 | −0.36 | −0.32 | −0.17 | −0.34 | −0.33 | −0.35 | −0.32 | −0.18 | −0.33 | −0.33 | −0.34 |
| A27 | −0.34 | −0.33 | −0.32 | −0.31 | −0.34 | −0.34 | −0.34 | −0.33 | −0.30 | −0.32 | −0.34 | −0.34 | −0.30 | −0.29 | −0.31 |
| A28 | −0.30 | −0.32 | −0.17 | −0.18 | −0.17 | −0.31 | −0.31 | −0.16 | −0.18 | −0.16 | −0.31 | −0.32 | −0.24 | −0.21 | −0.14 |
| A29 | −0.33 | −0.34 | −0.34 | −0.35 | −0.33 | −0.34 | −0.34 | −0.33 | −0.34 | −0.33 | −0.33 | −0.33 | −0.31 | −0.34 | −0.34 |
Normalization
| Alternatives | 2018 | 2019 | 2020 | ||||||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| C1 | C2 | C3 | C4 | C5 | C1 | C2 | C3 | C4 | C5 | C1 | C2 | C3 | C4 | C5 | |
| A1 | 0.24 | 0.24 | 0.24 | 0.22 | 0.25 | 0.24 | 0.25 | 0.24 | 0.24 | 0.25 | 0.23 | 0.24 | 0.23 | 0.23 | 0.24 |
| A2 | 0.13 | 0.24 | 0.19 | 0.05 | 0.00 | 0.15 | 0.25 | 0.17 | 0.11 | 0.15 | 0.18 | 0.24 | 0.16 | 0.14 | 0.17 |
| A3 | 0.18 | 0.17 | 0.23 | 0.19 | 0.25 | 0.18 | 0.20 | 0.24 | 0.18 | 0.24 | 0.16 | 0.16 | 0.22 | 0.17 | 0.22 |
| A4 | 0.12 | 0.11 | 0.11 | 0.08 | 0.07 | 0.12 | 0.09 | 0.11 | 0.08 | 0.07 | 0.10 | 0.08 | 0.09 | 0.10 | 0.12 |
| A5 | 0.11 | 0.17 | 0.15 | 0.13 | 0.06 | 0.12 | 0.15 | 0.24 | 0.14 | 0.07 | 0.15 | 0.15 | 0.22 | 0.21 | 0.14 |
| A6 | 0.11 | 0.06 | 0.08 | 0.10 | 0.11 | 0.14 | 0.14 | 0.13 | 0.22 | 0.18 | 0.14 | 0.21 | 0.16 | 0.24 | 0.17 |
| A7 | 0.16 | 0.21 | 0.09 | 0.18 | 0.18 | 0.14 | 0.16 | 0.15 | 0.18 | 0.19 | 0.17 | 0.15 | 0.17 | 0.23 | 0.20 |
| A8 | 0.08 | 0.04 | 0.15 | 0.12 | 0.13 | 0.09 | 0.11 | 0.16 | 0.14 | 0.10 | 0.13 | 0.13 | 0.18 | 0.13 | 0.11 |
| A9 | 0.20 | 0.24 | 0.18 | 0.21 | 0.26 | 0.18 | 0.23 | 0.17 | 0.20 | 0.24 | 0.19 | 0.23 | 0.23 | 0.17 | 0.24 |
| A10 | 0.26 | 0.20 | 0.24 | 0.27 | 0.24 | 0.26 | 0.21 | 0.24 | 0.25 | 0.23 | 0.25 | 0.20 | 0.21 | 0.23 | 0.22 |
| A11 | 0.19 | 0.24 | 0.18 | 0.19 | 0.20 | 0.20 | 0.25 | 0.18 | 0.19 | 0.19 | 0.21 | 0.24 | 0.23 | 0.20 | 0.21 |
| A12 | 0.20 | 0.18 | 0.21 | 0.21 | 0.25 | 0.20 | 0.24 | 0.23 | 0.21 | 0.24 | 0.20 | 0.23 | 0.22 | 0.24 | 0.23 |
| A13 | 0.20 | 0.12 | 0.09 | 0.17 | 0.05 | 0.16 | 0.13 | 0.09 | 0.19 | 0.10 | 0.19 | 0.12 | 0.09 | 0.20 | 0.15 |
| A14 | 0.16 | 0.17 | 0.14 | 0.07 | 0.11 | 0.16 | 0.11 | 0.10 | 0.11 | 0.11 | 0.16 | 0.20 | 0.09 | 0.13 | 0.17 |
| A15 | 0.21 | 0.23 | 0.21 | 0.23 | 0.23 | 0.22 | 0.21 | 0.20 | 0.23 | 0.23 | 0.21 | 0.20 | 0.22 | 0.22 | 0.22 |
| A16 | 0.15 | 0.24 | 0.20 | 0.16 | 0.15 | 0.21 | 0.22 | 0.19 | 0.20 | 0.20 | 0.20 | 0.22 | 0.19 | 0.19 | 0.19 |
| A17 | 0.21 | 0.20 | 0.20 | 0.24 | 0.15 | 0.20 | 0.20 | 0.20 | 0.22 | 0.13 | 0.20 | 0.23 | 0.22 | 0.21 | 0.13 |
| A18 | 0.21 | 0.24 | 0.13 | 0.26 | 0.13 | 0.22 | 0.25 | 0.13 | 0.24 | 0.13 | 0.21 | 0.23 | 0.19 | 0.20 | 0.11 |
| A19 | 0.16 | 0.22 | 0.24 | 0.14 | 0.10 | 0.15 | 0.22 | 0.16 | 0.19 | 0.10 | 0.15 | 0.20 | 0.14 | 0.18 | 0.10 |
| A20 | 0.19 | 0.13 | 0.23 | 0.18 | 0.27 | 0.18 | 0.12 | 0.22 | 0.17 | 0.26 | 0.18 | 0.13 | 0.21 | 0.17 | 0.23 |
| A21 | 0.20 | 0.13 | 0.18 | 0.05 | 0.13 | 0.18 | 0.10 | 0.16 | 0.05 | 0.13 | 0.18 | 0.12 | 0.16 | 0.06 | 0.13 |
| A22 | 0.19 | 0.06 | 0.20 | 0.26 | 0.19 | 0.21 | 0.04 | 0.20 | 0.24 | 0.21 | 0.20 | 0.02 | 0.18 | 0.22 | 0.20 |
| A23 | 0.24 | 0.23 | 0.24 | 0.20 | 0.27 | 0.23 | 0.23 | 0.23 | 0.18 | 0.25 | 0.21 | 0.23 | 0.22 | 0.19 | 0.24 |
| A24 | 0.12 | 0.14 | 0.08 | 0.10 | 0.00 | 0.11 | 0.13 | 0.09 | 0.06 | 0.01 | 0.11 | 0.12 | 0.10 | 0.06 | 0.04 |
| A25 | 0.19 | 0.15 | 0.22 | 0.25 | 0.25 | 0.18 | 0.11 | 0.22 | 0.21 | 0.23 | 0.17 | 0.12 | 0.21 | 0.18 | 0.23 |
| A26 | 0.20 | 0.08 | 0.23 | 0.24 | 0.28 | 0.20 | 0.06 | 0.23 | 0.22 | 0.26 | 0.19 | 0.07 | 0.22 | 0.21 | 0.25 |
| A27 | 0.23 | 0.22 | 0.20 | 0.18 | 0.24 | 0.23 | 0.23 | 0.21 | 0.17 | 0.20 | 0.23 | 0.23 | 0.17 | 0.16 | 0.19 |
| A28 | 0.17 | 0.19 | 0.06 | 0.07 | 0.06 | 0.18 | 0.19 | 0.05 | 0.07 | 0.06 | 0.17 | 0.19 | 0.11 | 0.08 | 0.04 |
| A29 | 0.22 | 0.24 | 0.22 | 0.26 | 0.21 | 0.23 | 0.24 | 0.22 | 0.24 | 0.22 | 0.21 | 0.22 | 0.19 | 0.23 | 0.24 |
Bank Evaluation Matrix
| Alternatives | 2018 | 2019 | 2020 | ||||||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| C1 | C2 | C3 | C4 | C5 | C1 | C2 | C3 | C4 | C5 | C1 | C2 | C3 | C4 | C5 | |
| A1 | 7707 | 9481 | 9864 | 6200 | 8440 | 7634 | 9681 | 9803 | 8675 | 8757 | 7393 | 9376 | 9853 | 8532 | 8993 |
| A2 | 2291 | 9669 | 6136 | 386 | 2 | 3267 | 9698 | 5290 | 1789 | 3057 | 4782 | 9716 | 4702 | 3084 | 4516 |
| A3 | 4230 | 4674 | 8872 | 4815 | 8089 | 4474 | 5840 | 9789 | 5222 | 8506 | 3901 | 4150 | 9588 | 4742 | 7623 |
| A4 | 1798 | 2116 | 2165 | 751 | 692 | 1997 | 1205 | 2018 | 930 | 774 | 1568 | 1142 | 1409 | 1552 | 2289 |
| A5 | 1703 | 5031 | 3999 | 2252 | 480 | 1828 | 3657 | 9724 | 3067 | 677 | 3232 | 3798 | 9281 | 7344 | 3255 |
| A6 | 1716 | 686 | 1056 | 1199 | 1519 | 2527 | 2999 | 2744 | 7427 | 4642 | 2757 | 7071 | 4649 | 9567 | 4850 |
| A7 | 3419 | 7656 | 1406 | 4204 | 4245 | 2737 | 3906 | 3906 | 4951 | 5277 | 3988 | 3906 | 5625 | 9158 | 6427 |
| A8 | 873 | 319 | 4064 | 2006 | 2104 | 1047 | 1947 | 4211 | 3137 | 1527 | 2489 | 2983 | 6268 | 3005 | 1877 |
| A9 | 5610 | 9752 | 5439 | 5746 | 8593 | 4621 | 8214 | 5081 | 5946 | 8547 | 5028 | 8718 | 9864 | 5087 | 9573 |
| A10 | 8966 | 6944 | 9862 | 9551 | 7317 | 9080 | 6551 | 9801 | 9561 | 7460 | 9027 | 6426 | 8686 | 8761 | 7855 |
| A11 | 5025 | 9489 | 5576 | 4927 | 5190 | 5562 | 9253 | 5758 | 5469 | 5178 | 6176 | 9254 | 9700 | 6785 | 6887 |
| A12 | 5342 | 5765 | 7857 | 5828 | 7893 | 5407 | 8879 | 9571 | 6997 | 7935 | 5898 | 8919 | 9571 | 9328 | 8259 |
| A13 | 5240 | 2500 | 1406 | 3832 | 316 | 3317 | 2500 | 1406 | 5688 | 1563 | 5449 | 2500 | 1406 | 6498 | 3406 |
| A14 | 3593 | 5006 | 3452 | 680 | 1585 | 3488 | 1985 | 1824 | 2010 | 1774 | 3527 | 6314 | 1567 | 3025 | 4591 |
| A15 | 5917 | 8789 | 7901 | 6982 | 7176 | 6330 | 6944 | 6944 | 8248 | 7894 | 6062 | 6400 | 8976 | 8274 | 8057 |
| A16 | 3226 | 9506 | 6590 | 3571 | 2930 | 5755 | 7406 | 6530 | 6479 | 5642 | 5878 | 7820 | 6742 | 6191 | 5924 |
| A17 | 6096 | 7071 | 7068 | 7809 | 2990 | 5631 | 6208 | 6833 | 7684 | 2466 | 5687 | 8763 | 9328 | 7649 | 2860 |
| A18 | 6031 | 9928 | 2765 | 8683 | 2180 | 6459 | 9813 | 3070 | 8714 | 2422 | 6626 | 8997 | 6902 | 6584 | 1845 |
| A19 | 3433 | 8314 | 9763 | 2677 | 1292 | 3275 | 7100 | 4351 | 5594 | 1475 | 3208 | 6757 | 3996 | 5262 | 1610 |
| A20 | 4692 | 2786 | 9025 | 4273 | 9324 | 4433 | 2113 | 8830 | 4375 | 9534 | 4855 | 2616 | 8540 | 4621 | 8294 |
| A21 | 5258 | 2870 | 5740 | 376 | 2233 | 4527 | 1544 | 4504 | 467 | 2400 | 4424 | 2500 | 5154 | 516 | 2820 |
| A22 | 5015 | 544 | 6747 | 9189 | 4762 | 6165 | 278 | 6747 | 9235 | 6161 | 5534 | 100 | 6173 | 8370 | 6247 |
| A23 | 7534 | 9099 | 9724 | 5115 | 9483 | 7073 | 8442 | 9481 | 5099 | 9314 | 6233 | 8656 | 9245 | 6054 | 8957 |
| A24 | 1927 | 3411 | 1121 | 1443 | 3 | 1552 | 2445 | 1474 | 541 | 9 | 1694 | 2560 | 1745 | 524 | 218 |
| A25 | 4754 | 4090 | 8692 | 8205 | 8035 | 4195 | 1947 | 8705 | 6826 | 7777 | 4243 | 2475 | 8348 | 5216 | 8276 |
| A26 | 5310 | 1125 | 9299 | 7389 | 9862 | 5537 | 539 | 9318 | 7247 | 9843 | 5413 | 699 | 9328 | 7436 | 9720 |
| A27 | 7393 | 8039 | 7027 | 4134 | 7458 | 7410 | 7923 | 7969 | 4264 | 5609 | 7832 | 8588 | 5657 | 4271 | 5753 |
| A28 | 4125 | 6257 | 689 | 560 | 504 | 4418 | 5300 | 516 | 707 | 463 | 4400 | 6249 | 2143 | 1164 | 296 |
| A29 | 6619 | 9481 | 8649 | 9086 | 5553 | 6956 | 8623 | 8403 | 9155 | 6889 | 6384 | 7656 | 6740 | 8859 | 9645 |
Positive and negative ideal solutions
| Alternatives | 2018 | 2019 | 2020 | ||||||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| C1 | C2 | C3 | C4 | C5 | C1 | C2 | C3 | C4 | C5 | C1 | C2 | C3 | C4 | C5 | |
| v+j | 0.01 | 0.01 | 0.01 | 0.00 | 0.00 | 0.01 | 0.01 | 0.01 | 0.00 | 0.00 | 0.01 | 0.01 | 0.01 | 0.00 | 0.00 |
| v−j | 0.00 | 0.00 | 0.00 | 0.01 | 0.01 | 0.00 | 0.00 | 0.00 | 0.01 | 0.01 | 0.00 | 0.00 | 0.00 | 0.01 | 0.01 |
Robustness check and sensitivity analyses
| Method | Metric | Result | Interpretation |
|---|---|---|---|
| Monte Carlo | Avg. Spearman ρ vs. Initial | 0.9764 | Higher values indicate stronger agreement between initial and perturbed rankings. |
| Monte Carlo | Rank Variability (Avg. Std Dev) | 1.6137 | Lower values indicate more stable ranks across perturbations. |
| Monte Carlo | Max First-Place Frequency | 1000 | Indicates the highest frequency a company achieved rank 1. |
| Bootstrap | Avg. Spearman ρ vs. Initial | 0.9685 | Higher values indicate stronger agreement between initial and resampled rankings. |
| Bootstrap | Rank Variability (Avg. Std Dev) | 2.0209 | Lower values indicate more stable ranks across perturbations. |
| Bootstrap | Max First-Place Frequency | 975 | Indicates the highest frequency a company achieved rank 1. |