## 3 Case Analysis of Storage Tank Leakage Accidents
### Application of the Proposed Method
#### 3.2.2 Determination of Fuzzy Failure Probability of Basic Events
\begin{table}
\begin{tabular}{c c c c c c} \hline \hline
**BEs** & \multicolumn{2}{c}{**M**} & \multicolumn{2}{c}{**FPS**} & \multicolumn{2}{c}{**P(X\({}_{i}\))**} & \multicolumn{1}{c}{**Rank**} \\ \hline X1 & (0.6822, 0.7822, 0.8236, 0.8905) & 0.7729 & 0.029522 & 5 \\ X2 & (0.6229, 0.7229, 0.7644, 0.8440) & 0.7195 & 0.020844 & 9 \\ X3 & (0.4783, 0.5783, 0.6242, 0.7178) & 0.5911 & 0.009222 & 13 \\ X4 & (0.7089, 0.8089, 0.8522, 0.9204) & 0.7985 & 0.035158 & 1 \\ X5 & (0.6548, 0.7548, 0.8089, 0.8751) & 0.7535 & 0.025964 & 7 \\ X6 & (0.4726, 0.5726, 0.6032, 0.7032) & 0.5799 & 0.008580 & 14 \\ X7 & (0.5956, 0.6956, 0.7268, 0.8140) & 0.6905 & 0.017340 & 10 \\ X8 & (0.3439, 0.4439, 0.4911, 0.5911) & 0.4705 & 0.004041 & 19 \\ X9 & (0.4338, 0.5338, 0.5733, 0.6733) & 0.5486 & 0.006981 & 15 \\ X10 & (0.6783, 0.7783, 0.8274, 0.8930) & 0.7728 & 0.029511 & 6 \\ X11 & (0.3974, 0.4974, 0.5102, 0.6102) & 0.5035 & 0.005124 & 17 \\ X12 & (0.3624, 0.4624, 0.4822, 0.5822) & 0.4748 & 0.004172 & 18 \\ X13 & (0.1561, 0.2439, 0.2975, 0.3975) & 0.2928 & 0.000818 & 22 \\ X14 & (0.3229, 0.4229, 0.4758, 0.5758) & 0.4540 & 0.003572 & 20 \\ X15 & (0.4198, 0.5198, 0.5395, 0.6395) & 0.5269 & 0.006029 & 16 \\ X16 & (0.3012, 0.4012, 0.4401, 0.5401) & 0.4279 & 0.002918 & 21 \\ X17 & (0.5853, 0.6853, 0.7274, 0.8051) & 0.6850 & 0.016751 & 11 \\ X18 & (0.6427, 0.7427, 0.7751, 0.8509) & 0.7331 & 0.022744 & 8 \\ X19 & (0.6822, 0.7822, 0.8255, 0.8936) & 0.7738 & 0.029717 & 4 \\ X20 & (0.6847, 0.7847, 0.8210, 0.9019) & 0.7739 & 0.029728 & 3 \\ X21 & (0.5319, 0.6319, 0.6625, 0.7625) & 0.6338 & 0.012119 & 12 \\ X22 & (0.6809, 0.7809, 0.8363, 0.9057) & 0.7784 & 0.030641 & 2 \\ \hline \hline \end{tabular}
\end{table} 
Table 6: Parameters for each BEs. \begin{table}
\begin{tabular}{c c c c c c c c c c} \hline \hline
**BE** & \multicolumn{8}{c}{**Expert No.**} \\ \cline{2-10}  & **1** & **2** & **3** & **4** & **5** & **6** & **7** & **8** & **9** & **10** \\ \hline
1 & VH & H & H & MH & M & H & H & VH & H & VH \\
2 & H & MH & VH & MH & H & M & H & VH & H & M \\
3 & MH & H & MH & M & H & ML & VH & M & ML & M \\
4 & H & VH & H & VH & MH & H & H & H & VH & H \\
5 & VH & M & MH & H & VH & H & H & MH & VH & H \\
6 & H & MH & M & H & ML & M & ML & H & M \\
7 & H & VH & H & H & M & ML & M & H & H & MH \\
8 & M & MH & H & L & ML & M & M & ML & ML \\
9 & H & M & ML & M & ML & MH & H & M & MH \\
10 & VH & H & H & MH & H & M & MH & VH & H \\
11 & M & ML & H & L & M & H & M & L & H \\
12 & ML & M & H & ML & M & L & M & H & VL & M \\
13 & L & ML & L & ML & L & M & L & VL & ML \\
14 & M & MH & FL & ML & FL & L & MH & M & M \\
15 & MH & M & ML & M & L & H & M & H & M \\
16 & MH & M & ML & FL & M & M & L & ML & M \\
17 & H & VH & MH & H & ML & M & H & M & VH \\
18 & H & VH & H & MH & VH & H & H & M & H & M \\
19 & MH & VH & H & VH & H & M & H & VH & H \\
20 & H & VH & MH & H & MH & H & H & VH & H \\
21 & M & H & MH & M & MH & H & H & MH & M \\
22 & VH & MH & H & VH & H & H & H & MH & VH & H \\ \hline \hline \end{tabular}
\end{table} 
Table 5: Expert’s linguistic evaluation of BEs.