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Table 8 Pairwise comparison result of the criterion layer

From: A quantitative evaluation based on an analytic hierarchy process for the deterioration degree of the Guangyuan Thousand-Buddha grotto from the Tang Dynasty in Sichuan, China

Criterion

B1

B2

Criterion layer weight

Stability deterioration

B1

1

3

0.75

Weathering deterioration

B2

1/3

1

0.25

λmax = 1.995, CR = 0

Stability deterioration

B1

C1

C2

C3

C4

C5

C6

Index layer weight

Scaling off

C1

1

2

2

1/2

1

4

0.194

Detachment

C2

1/2

1

1

1/3

1/2

3

0.110

Water deterioration

C3

1/2

1

1

1/3

1

3

0.125

Body loss

C4

2

3

3

1

2

5

0.327

Cracks

C5

1

2

2

1/2

1

4

0.194

Plant damage

C6

1/3

1/3

1/3

1/5

1/4

1

0.050

λmax = 6.259, CR = 0.0417 < 0.1

Weathering deterioration

B2

C7

C8

C9

C10

C11

C12

C13

C14

C15

Index layer weight

Rock powdering Weathering

C7

1

2

2

3

4

4

5

5

5

0.271

Deep loss

C8

1/2

1

1

2

3

3

4

4

4

0.177

Salt crystallization

C9

1/2

1

1

2

3

3

4

4

4

0.177

Pigment layer peeled off

C10

1/3

1/2

1/2

1

2

2

3

3

3

0.113

Paint layer craquelure

C11

1/4

1/3

1/3

1/2

1

1

2

2

2

0.069

Scratch or graffiti

C12

1/4

1/3

1/3

1/2

1

1

2

2

2

0.069

Improper repairing

C13

1/5

1/4

1/4

1/3

1/2

1/2

1

1

1

0.041

Surface pollution

C14

1/5

1/4

1/4

1/3

1/2

1/2

1

1

1

0.041

Microorganism pollution

C15

1/5

1/4

1/4

1/3

1/2

1/2

1

1

1

0.041

λmax = 9.107, CR = 0.00924 < 0.1