## 3 Results
### Results of IDEMATEL
#### 3.1.2 Calculate the Comprehensive Influence Matrix
\begin{table}
\begin{tabular}{c c c c c c} \hline
**Influencing Factors** & \(D\) & \(E\) & \(B\) & \(C\) & **Factor Attributes** \\ \hline \(S_{1}\) & 0.657 & 0.388 & 1.045 & 0.269 & Causal factors \\ \(S_{2}\) & 1.065 & 0.761 & 1.825 & 0.304 & Causal factors \\ \(S_{3}\) & 0.872 & 0.363 & 1.235 & 0.510 & Causal factors \\ \(S_{4}\) & 1.195 & 0.763 & 1.957 & 0.432 & Causal factors \\ \(S_{5}\) & 0.273 & 1.346 & 1.619 & \(-1.073\) & Resulting factors \\ \(S_{6}\) & 0.819 & 2.522 & 3.341 & \(-1.702\) & Resulting factors \\ \(S_{7}\) & 1.718 & 0.086 & 1.804 & 1.632 & Causal factors \\ \(S_{8}\) & 0.816 & 1.209 & 2.025 & \(-0.393\) & Resulting factors \\ \(S_{9}\) & 0.983 & 0.721 & 1.704 & 0.262 & Causal factors \\ \(S_{10}\) & 1.241 & 0.516 & 1.757 & 0.724 & Causal factors \\ \(S_{11}\) & 0.728 & 1.720 & 2.447 & \(-0.992\) & Resulting factors \\ \(S_{12}\) & 0.553 & 0.526 & 1.079 & 0.027 & Causal factors \\ \hline \end{tabular}
\end{table} 
Table 6: Results of influencing factor analysis. Figure 3: Causation and centrality diagram of influencing factors. The results in Table 6 and Figure 5 show that, in terms of centrality, the centrality values of block form (\(S_{2}\)), architectural composition (\(S_{4}\)), windproof design (\(S_{6}\)), typhoon level (\(S_{7}\)), typhoon direction (\(S_{8}\)), and hazard investigation (\(S_{11}\)) are relatively large, indicating that these six factors play a dominant role in the influencing factor system of wind resilience of China's coastal historical districts and are of high importance. In terms of degree of causation, the causation degree values of block direction (\(S_{3}\)), typhoon level (\(S_{7}\)), and emergency plan (\(S_{10}\)) are relatively large, which are causal factors, while the causal degree value of windproof design (\(S_{6}\)) is the lowest, which is a result factor. Figure 4: Influence degree–affected degree diagram. Figure 5: Centrality degree–causation degree diagram. The hierarchical classification results of each factor in Table 7 were processed hierarchically to construct a multi-layer hierarchical structural model of factors affecting the wind resilience of China's coastal historical districts, as shown in Figure 6.  
Figure 6 illustrates that the twelve influencing factors in the wind resilience system of China's coastal historical districts are categorized into five levels. Factors positioned at lower levels are considered more fundamental to the influencing factor system. The first level factors belong to the surface direct influencing factors, the second to fourth level factors belong to the middle layer indirect influencing factors, and the fifth level factors belong to the bottom layer fundamental factors. In the first level, there is one factor (\(S_{6}\)), which represents the surface influencing factor for the wind resilience of China's coastal historical districts. The second level includes three factors: block density (\(S_{1}\)), building structure (\(S_{5}\)), and typhoon direction (\(S_{8}\)). The third level contains two factors: block direction (\(S_{3}\)) and hazard investigation (\(S_{11}\)). Lastly, the fourth level comprises three factors: architectural composition (\(S_{4}\)), typhoon wind speed (\(S_{9}\)), and safety education (\(S_{12}\)). The three factors in the fourth level are considered middle-level influencing factors for the wind  
\begin{table}
\begin{tabular}{c c c c} \hline
**Influencing Factors** & \(\mathbf{R}\) (\(S_{i}\)) & \(\mathbf{A}\) (\(S_{i}\)) & \(\mathbf{G}\) (\(S_{i}\)) \\ \hline \(S_{1}\) & \(S_{1},S_{6}\) & \(S_{1}\) & \(S_{1}\) \\ \(S_{2  
resilience of China's coastal historical districts. These factors directly impact the first-level factor while also being influenced by the underlying fundamental factors. The bottom level consists of three factors: block form (\(S_{2}\)), typhoon level (\(S_{7}\)), and emergency plan (\(S_{10}\)). These three factors are the root influencing factors for the wind resilience of China's coastal historical districts.