## 4 Case Study
### Calculation Results of Evaluation Score  
After calculating the weight of each indicator, the expert scoring method for experts using a five-point scale was designed. Sixteen experts from universities, the Administration of Housing and Construction in addition to construction enterprises provided the answers from 1 to 5, representing their individual view of the RCI development level in Jiangsu. The score for each indicator of Jiangsu in 2015 was calculated, with the steps being as follows: Mean of indicator score \(\overline{SC}(ij)\) is calculated according to Equation (8), followed by calculating the dimension score \(SC(i)\) according to Equation (9), and finally calculating the target evaluation score \(SC\) according to Equation (10). The results are shown in Table 18.  
\[\overline{SC}(ij)=\frac{1}{n}\sum_{k=1}^{n}SC(ij) \tag{8}\]  
\[SC(i)=\sum\overline{SC}(ij)\times W(ij) \tag{9}\]  
\[SC=\sum SC(i)\times W(i) \tag{10}\]  
where \(n\) is the number of experts, \(SC(ij)\) represents the score of A\(ij\) as the expert \(k\) evaluation, \(W(ij)\) represents the weight of A\(ij\), and \(W(i)\) represents the weight of A\(i\).  
\begin{table}
\begin{tabular}{c c c c c c c} \hline
**A4** & **A41** & **A42** & **A43** & \(\lambda_{max}\) & **Weight** & \(\text{CI}=(\lambda_{max}-n)/(n-1)\) \\ \hline A41 & 1 & 7 & 3 & & 0.09 & CI = 0.031 \textless{} 0.1 \\ A42 & 1/7 & 1 & 1/4 & 3.062 & 0.70 & Uniform convergence \\ A43 & 1/3 & 4 & 1 & & 0.21 & \\ \hline \end{tabular}
\end{table}
Table 16: The judgment matrix and weight based on A4.  
\begin{table}
\begin{tabular}{c c c c c c c c} \hline
**Evaluation Target (A)** & **Dimension (A)** & **Index (A\(ij\))** & \(\overline{SC}(ij)\) & \(W(ij)\) & \(SC(i)\) & \(W(i)\) & \(SC\) \\ \hline \multirow{8}{*}{A1} & \multirow{8}{*}{A2} & A11 & 3.7 & 0.18 & & & \\  & & A12 & 3.2 & 0.26 & & & \\  & & A13 & 3.8 & 0.06 & & & \\  & & A14 & 2.7 & 0.10 & 3.39 & 0.47 & \\  & & A15 & 3.4 & 0.04 & & & \\  & & A16 & 3.5 & 0.33 & & & \\  & & A17 & 3.4 & 0.03 & & & \\ \hline \multirow{8}{*}{Regional construction industrialization development level} & \multirow{8}{*}{A2} & A2 & 2 & 0.45 & & \\  & & A22 & 5 & 0.07 & & & \\ \cline{1-1}  & & A23 & 4 & 0.16 & 2.75 & 0.08 & \\ \cline{1-1}  & & A24 & 2 & 0.21 & & & 3.81 \\ \cline{1-1}  & & A25 & 4 & 0.11 & & & \\ \cline{1-1} \cline{2-6}  & & A31 & 3.3 & 0.13 & & & \\ \cline{1-1}  & & A32 & 3.5 & 0.32 & 4.30 & 0.13 & \\ \cline{1-1}  & & A33 & 5 & 0.55 & & & \\ \cline{1-1} \cline{2-6}  & & A41 & 4 & 0.09 & & & \\ \cline{1-1} \cline{2-6}  & & A42 & 5 & 0.70 & 4.70 & 0.26 & \\ \cline{1-1}  & & A43 & 4 & 0.21 & & & \\ \hline \multirow{8}{*}{A5} & \multirow{8}{*}{A6} & A51 & 5 & 0.20 & & & \\ \cline{1-1}  & & A52 & 4.2 & 0.12 & & & \\ \cline{1-1} \cline{2-6}  & & A53 & 2.8 & 0.60 & 3.58 & 0.06 & \\ \cline{1-1} \cline{2-6}  & & A54 & 5 & 0.08 & & & \\ \hline \end{tabular}
\end{table}
Table 17: The judgment matrix and weight based on A5.  
\begin{table}
\begin{tabular}{c c c c c c c} \hline
**A5** & **A51** & **A52** & **A53** & **A54** & \(\lambda_{max}\) & **Weight** & \(\text{CI}=(\lambda_{max}-n)/(n-1)\) \\ \hline A51 & 1 & 1/2 & 4 & 1/3 & & 0.20 & \\ A52 & 2 & 1 & 5 & 1/2 & & 0.12 & CI = 0.025 \textless{} 0.1 \\ A53 & 1/4 & 1/5 & 1 & 1/6 & & 0.60 & Uniform convergence \\ A54 & 3 & 2 & 6 & 1 & & 0.08 & \\ \hline \end{tabular}
\end{table}
Table 18: Calculated results of Jiangsu construction industrialization development level.