Table 7 The judgment matrix of Pmbn.

From: Safety risk assessment of loess tunnel construction under complex environment based on game theory-cloud model

P1

b1

b2

b3

b4

b5

P2

b6

b7

b8

P3

b9

b10

b11

P4

b12

b13

b14

b15

b1

1

1

4

3

4

b6

1

2

2

b9

1

2

1/2

b12

1

1/2

2

2

b2

1

1

3

2

3

b7

1/2

1

1/2

b10

1/2

1

1/2

b13

2

1

2

3

b3

1/4

1/3

1

1

2

b8

1/2

2

1

b11

2

2

1

b14

1/2

1/2

1

2

b4

1/3

1/2

1

1

3

\(\begin{gathered} E = \left\{ {1.59,0.63,1} \right\}^{T} , \\ \lambda_{\max } = 3.05,CI = 0.03, \\ CR = 0.05 < 0.1, \\ {\text{meet consistency}} \\ {\text{requirements}} \\ \end{gathered}\)

\(\begin{gathered} E = \left\{ {1,0.63,1.59} \right\}^{T} , \\ \lambda_{\max } = 3.05,CI = 0.03, \\ CR = 0.05 < 0.1, \\ {\text{meet consistency}} \\ {\text{requirements}} \\ \end{gathered}\)

b15

1/2

1/3

1/2

1

b5

1/4

1/3

1/2

1/3

1

\(\begin{gathered} E = \left\{ {1.19,1.86,0.84,0.54} \right\}^{T} , \\ \lambda_{\max } = 4.07,CI = 0.02, \\ CR = 0.03 < 0.1, \\ {\text{meet consistency}} \\ {\text{requirements}} \\ \end{gathered}\)

\(\begin{gathered} E = \left\{ {2.17,1.78,0.70,0.87,0.43} \right\}^{T} , \\ \lambda_{\max } = 4.22,CI = 0.07, \\ CR = 0.08 < 0.1, \\ {\text{meet consistency requirements}} \\ \end{gathered}\)