## 4 Example Application
### Comprehensive Risk Cloud Model  
(1) Standard cloud  
The risk standard cloud of hazardous chemical road transportation accidents is constructed, and the cloud diagram is drawn using MATLAB to obtain the risk level standard cloud, as shown in Figure 5. \begin{table}
\begin{tabular}{c c c c} \hline
**Subjective Weighting Factor** & **Numerical Value** & **Objective Weighting Factor** & **Numerical Value** \\ \hline \(\alpha_{0}\) & 0.34 & \(\beta_{0}\) & 0.66 \\ \hline \(\alpha_{A}\) & 0.32 & \(\beta_{A}\) & 0.68 \\ \hline \(\alpha_{B}\) & 0.33 & \(\beta_{B}\) & 0.67 \\ \hline \(\alpha_{C}\) & 0.30 & \(\beta_{C}\) & 0.70 \\ \hline \(\alpha_{D}\) & 0.38 & \(\beta_{D}\) & 0.62 \\ \hline \(\alpha_{E}\) & 0.20 & \(\beta_{E}\) & 0.80 \\ \hline \(\alpha_{F}\) & 0.30 & \(\beta_{F}\) & 0.70 \\ \hline \end{tabular}
\end{table} 
Table 4: Calculated value of weighting factor. \begin{table}
\begin{tabular}{c c c c c c c} \hline
**First-Level Indicators** & **Subjective Weights** & **Objective Weights** & **Comprehensive Weights** & **Secondary** & **Subjective** & **Objective Weights** & **Comprehensive Weights** & **Sorting** \\ \hline \multirow{3}{*}{A} & \multirow{3}{*}{0.2950} & \multirow{3}{*}{0.3437} & \multirow{3}{*}{0.3271} & A1 & 0.0354 & 0.0628 & 0.0538 & 5 \\ \cline{3-5} \cline{5-7}  & & & A2 & 0.0969 & 0.1533 & 0.1349 & 1 \\ \cline{3-5} \cline{5-7}  & & & A3 & 0.1131 & 0.0927 & 0.0989 & 3 \\ \cline{3-5} \cline{5-7}  & & & A4 & 0.0496 & 0.0349 & 0.0395 & 12 \\ \hline \multirow{3}{*}{B} & \multirow{3}{*}{0.1291} & \multirow{3}{*}{0.0789} & \multirow{3}{*}{0.0960} & B1 & 0.0861 & 0.0246 & 0.0452 & 8 \\ \cline{3-5} \cline{5-7}  & & & B2 & 0.0430 & 0.0543 & 0.0508 & 6 \\ \hline \multirow{3}{*}{C} & \multirow{3}{*}{0.0964} & \multirow{3}{*}{0.1164} & \multirow{3}{*}{0.1096} & C1 & 0.0299 & 0.0496 & 0.0437 & 9 \\ \cline{3-5} \cline{5-7}  & & & C2 & 0.0189 & 0.0317 & 0.0274 & 17 \\ \cline{3-5} \cline{5-7}  & & & C3 & 0.0476 & 0.0351 & 0.0385 & 13 \\ \hline \multirow{3}{*}{D} & \multirow{3}{*}{0.2468} & \multirow{3}{*}{0.1539} & \multirow{3}{*}{0.1855} & D1 & 0.0733 & 0.0275 & 0.0435 & 10 \\ \cline{3-5} \cline{5-7}  & & & D2 & 0.0403 & 0.0337 & 0.0351 & 14 \\ \cline{3-5} \cline{5-7}  & & & D3 & 0.1332 & 0.0927 & 0.1069 & 2 \\ \hline \multirow{3}{*}{E} & \multirow{3}{*}{0.0591} & \multirow{3}{*}{0.1417} & \multirow{3}{*}{0.1136} & E1 & 0.0118 & 0.0263 & 0.0206 & 20 \\ \cline{3-5} \cline{5-7}  & & & E2 & 0.0236 & 0.0545 & 0.0455 & 7 \\ \cline{3-5} \cline{5-7}  & & & E3 & 0.0119 & 0.0306 & 0.0237 & 19 \\ \cline{3-5} \cline{5-7}  & & & E4 & 0.0118 & 0.0303 & 0.0238 & 18 \\ \hline \multirow{3}{*}{F} & \multirow{3}{*}{0.1736} & \multirow{3}{*}{0.1654} & \multirow{3}{*}{0.1682} & F1 & 0.0212 & 0.0872 & 0.0676 & 4 \\ \cline{3-5} \cline{5-7}  & & & F2 & 0.0735 & 0.0264 & 0.0406 & 11 \\ \cline{3-5} \cline{5-7}  & & & F3 & 0.0394 & 0.0275 & 0.0312 & 15 \\ \cline{1-1} \cline{3-5} \cline{5-7}  & & & F4 & 0.0395 & 0.0243 & 0.0288 & 16 \\ \hline \end{tabular}
\end{table} 
Table 5: Comprehensive weights of road transport safety risk assessment indexes of hazardous chemicals. (2) Indicator risk cloud  
The numerical characteristic values of each indicator are calculated and substituted into Equation (14) to determine the weighted cloud numerical characteristics of each level of indicators, as shown in Table 6. The cloud diagram is generated using MATLAB, as shown in Figure 6.  
Figure 5: Standard cloud map of risk grade. Figure 6: _Cont._  
As shown in Figure 6A-F are the first-level evaluation indicator cloud maps of factors such as personnel, vehicle, equipment, chemical, environmental, and management. The risk level is obtained by comparing with the standard cloud map.