Table 10 Example 3. Results from Chen et al. (2009), Despotis et al. (2016) and Wang and Chin (2010)
Chen et al. (2009) | Despotis et al. (2016) | Wang and Chin (2010) | \(( (\lambda _1, \lambda _2)=( \frac{2}{5}, \frac{3}{5}))\) | |||||
|---|---|---|---|---|---|---|---|---|
Models (11)–(13) | Ranking | Model (21) | Ranking | Model (24) | Ranking | Models (24), (26),(28) | Ranking | |
\(DMU_o\) | (F, S, O) | (F, S, O) | (F, S, O) | (F, S, O) | (F, S, O) | (F, S, O) | (F, S, O) | (F, S, O) |
1. Taiwan Fire | (0.993, 0.704, 0.849) | (3, 4, 3) | (0.9926, 0.7045, 0.6992) | (3, 5, 3) | (0.9848, 0.7054, 0.6947) | (4, 4, 3) | (0.9926, 0.7045, 0.8202) | (3, 4, 4) |
2. Chung Kuo | (0.998, 0.626, 0.812) | (2,5,5) | (0.9985, 0.6257, 0.6248) | (2, 6, 5) | (0.9971, 0.6260, 0.6242) | (2,7,5) | (0.9985, 0.6257, 0.7750) | (2, 5, 6) |
3. Tai Ping | (0.690, 1, 0.817) | (18,1,4) | (0.6900, 1, 0.690) | (19, 1, 4) | (0.6900, 1, 0.6900) | (17,1,4) | (0.6900, 1.000, 0.8477) | (16, 1, 3) |
4. China Mariners | (0.724, 0.420, 0.596) | (16,11,16) | (0.7243, 0.4200, 0.3042) | (17, 12, 15) | (0.7181, 0.4202, 0.3018) | (16,12,15) | (0.7243, 0.4200, 0.5659) | (15, 12, 15) |
5. Fubon | (0.831, 0.923, 0.873) | (9,2,2) | (0.8307, 0.9233, 0.7670) | (9, 3, 1) | (0.8011, 0.9457, 0.7577) | (11,2,2) | (0.8307, 0.9233, 0.8821) | (9, 2, 1) |
6. Zurich | (0.961, 0.406, 0.689) | (4,13,11) | (0.9606, 0.4057, 0.3897) | (4, 14, 12) | (0.9619, 0.4037, 0.3883) | (5,15,12) | (0.9606, 0.4057, 0.6330) | (4, 15, 12) |
7. Taian | (0.752, 0.352, 0.580) | (11,17,18) | (0.7521, 0.3522, 0.2649) | (12, 17, 18) | (0.6827, 0.4026, 0.2748) | (19,16,18) | (0.6706, 0.4124, 0.5411) | (17, 13, 18) |
8. Ming Tai | (0.726, 0.378, 0.579) | (14,14,19) | (0.7256, 0.3780, 0.2743) | (15, 15, 16) | (0.6748, 0.4076, 0.2750) | (22,14,17) | (0.7256, 0.3780, 0.5445) | (14, 16, 17) |
9. Central | (1, 0.223, 0.612) | (1,21,20) | (1, 0.2233, 0.2233) | (1, 22, 20) | (0.9437, 0.2323, 0.2192) | (6,21,20) | (1.000, 0.2233, 0.5340) | (1, 21, 20) |
10. The First | (0.862, 0.541, 0.713) | (7,8,9) | (0.8615, 0.5408, 0.4660) | (7, 9, 9) | (0.7845, 0.5597, 0.4391) | (12,9,9) | (0.8615, 0.5408, 0.6807) | (7, 9, 9) |
11. Kuo Hua | (0.729, 0.207, 0.509) | (13,22,24) | (0.7292, 0.2066, 0.1507) | (14, 23, 23) | (0.6899, 0.2276, 0.1570) | (18,22,23) | (0.7292, 0.2066, 0.4562) | (13, 22, 23) |
12. Union | (1, 0.760, 0.880) | (1,3,1) | (1, 0.7596, 0.7596) | (1, 4, 2) | (1, 0.7596, 0.7596) | (1,3,1) | (1.000, 0.7596, 0.8557) | (1, 3, 2) |
13. Shingkong | (0.811, 0.243, 0.557) | (10,20,21) | (0.8107,0.2431,0.1970) | (10, 21, 21) | (0.6794, 0.3052, 0.2073) | (20,19,21) | (0.8107, 0.2431, 0.4992) | (10, 20, 21) |
14. South China | (0.725, 0.374, 0.577) | (15,15,20) | (0.7246, 0.3740, 0.2710) | (16, 10, 17) | (0.6777, 0.4222, 0.2861) | (21,11,16) | (0.6699, 0.4309, 0.5501) | (18, 11, 16) |
15. Cathay Century | (1, 0.614, 0.807) | (1,6,9) | (1, 0.6138, 0.6138) | (1, 7, 6) | (0.9371, 0.6376, 0.5976) | (7,6,6) | (1.000, 0.6138, 0.7683) | (1, 6, 7) |
16. Allianz President | (0.886, 0.362, 0.639) | (6, 16, 13) | (0.9072, 0.3356, 0.3044) | (6, 18, 14) | (0.8871, 0.3597, 0.3191) | (8,17,14) | (0.8856, 0.3615, 0.5866) | (6, 17, 14) |
17. Newa | (0.723, 0.460, 0.613) | (17,10,14) | (0.7232, 0.4597, 0.3325) | (18, 11, 13) | (0.5668, 0.6183, 0.3504) | (24, 8, 13) | (0.6276, 0.5736, 0.6014) | (19, 8, 13) |
18. AIU | (0.794, 0.326, 0.587) | (10,18,17) | (0.7935, 0.3262, 0.2588) | (11, 19, 19) | (0.7691, 0.3335, 0.2565) | (14, 18, 19) | (0.7935, 0.3262, 0.5396) | (11, 18, 19) |
19. North America | (1, 0.411, 0.706) | (1,12,10) | (1, 0.4112, 0.4112) | (1, 13, 11) | (0.9962, 0.4120, 0.4104) | (3, 13, 11) | (1.000, 0.4112, 0.6467) | (1, 14, 11) |
20. Federal | (0.933, 0.586, 0.765) | (5,7,7) | (0.9332, 0.5857, 0.5465) | (5, 2, 8) | (0.7712, 0.6763, 0.5216) | (13, 5, 8) | (0.9332, 0.5857, 0.7305) | (5, 7, 8) |
21. Royal Sunalliance | (0.751, 0.262, 0.541) | (12,19,23) | (0.7505, 0.2623, 0.1969) | (13, 20, 22) | (0.7434, 0.2668, 0.1984) | (15,20,22) | (0.7321, 0.2743, 0.4925) | (12, 19, 22) |
22. Aisa | (0.590, 1, 0.742) | (19,1,8) | (0.5895, 1, 0.5895) | (20, 1, 7) | (0.5895, 1, 0.5895) | (23, 1, 7) | (0.5895, 1.000, 0.7822) | (20, 1, 5) |
23. AXA | (0.843, 0.499, 0.685) | (8,9,12) | (0.8426, 0.4989, 0.4203) | (8, 10, 10) | (0.8141, 0.5079, 0.4135) | (10, 10, 10) | (0.8426, 0.4989, 0.6507) | (8, 10, 10) |
24. Mitsui Sumitomo | (1, 0.087, 0.544) | (1,23,22) | (1, 0.0870, 0.0870) | (1, 24, 24) | (0.8267, 0.1255, 0.1037) | (9, 23, 24) | (1.000, 0.0870, 0.4522) | (1, 23, 24) |