Dynamic Risk Assessment of Karst Tunnel Collapse Based on Fuzzy-AHP: A Case Study of the LianHuaShan Tunnel, China

Table 6

Judgment matrix of layer C to layer B.

C111

C112

C131

C132

C133

C141

C142

C311

C312

C313

C314

C321

C322

C323

C111

1

7

C131

1

1/5

1/7

C141

1

1/4

C311

1

3

5

8

C321

1

1/5

4

C112

1/7

1

C132

5

1

1/3

C142

4

1

C312

1/3

1

2

3

C322

5

1

9

Feature vector; W = {0.88, 0.13}^T; Satisfying consistency

C133

7

3

1

Feature vector; W = {0.20, 0.80}^T; Satisfying consistency

C313

1/5

1/2

1

2

C323

1/4

1/9

1

Feature vector; W = {0.07, 0.28, 0.65}^T; λmax = 4.25, CI = 0.03,; CR = 0.06 < 0; Satisfying consistency

C314

1/8

1/3

1/2

1

Feature vector; W = {0.19, 0.74, 0.06}^T; λmax = 3.07, CI = 0.036,; CR = 0.069 < 0.1,; Satisfying consistency

Feature vector: W = {0.60, 0.21, 0.12, 0.07}^T; λmax = 4.01, CI = 0.004,; CR = 0.004 < 0.1,; Satisfying consistency