## 4 Application and Discussion of the Methodology
### Application of FFTA
#### 4.2.3 Fuzzification and Aggregation  
The expert group used the language measurement scale in Table 2 to evaluate each BE, and the results were given in Table 5.  
In the aggregation stage, BE5 was selected as an example. The S values (Table 6), the AA values, the RA values, and the CC values (Table 7) of the BE5 were calculated using Equations (8)-(11). As a result of these calculations, according to Equation (12), the aggregated result value of the BE5 was found to be (0.7565, 0.8219, 0.8873).  
\begin{table}
\begin{tabular}{c c c c c c c c c c c c c c c c c c} \hline \hline
**Expert** & **Professional** & **Education-Level** & \multicolumn{2}{c}{**Professional**} & \multicolumn{2}{c}{**Weighting Score**} & \multicolumn{2}{c}{**Total**} & \multicolumn{2}{c}{**Weighting**} \\
**no.** & **Position** & **/Competency** & **Experience (Year)** & \multicolumn{2}{c}{_SPP_} & _SEC_ & _SPE_ & **Score** & \multicolumn{2}{c}{**Coefficient**} \\ \hline
1 & Foreman & Senior technician & 16 & 5 & 5 & 4 & 1 & Foreman \\
2 & Deputy foreman & Senior technician & 25 & 5 & 5 & 5 & 2 & Deputy foreman \\
3 & Shift foreman & Senior technician & 11 & 4 & 5 & 3 & 3 & Shift foreman \\
4 & Safety officer & Senior engineer & 6 & 4 & 4 & 2 & 4 & Safety officer \\
5 & Safety officer & Doctor & 8 & 4 & 5 & 2 & 5 & Safety officer \\
6 & Deputy shift & & & & & & & & & & & Deputy shift \\  & foreman & Senior technician & 6 & 3 & 5 & 2 & 6 & & & & & & & & & & & & \\
7 & Technician & Master & 4 & 3 & 4 & 1 & 7 & & & & & & & & & & & & \\
8 & Watcher & Senior engineer & 5 & 2 & 4 & 1 & 8 & & & & & & & & & & & & \\
9 & Deputy watcher & Intermediate & 2 & 2 & 3 & 1 & 9 & & & & & & & & & & & & \\  & engineer & & & & & & & & & & & & & & & & & & & & \\
10 & Deputy watcher & Undergraduate & 2 & 2 & 3 & 1 & 10 & & & & & & & & & & & & & \\
11 & Trainee & Undergraduate & 0.5 & 1 & 3 & 1 & 11 & 11 & & Trainee & & & & & & & & & & & & & \\ \hline \hline \end{tabular}
\end{table}
Table 4: The situation of the expert group and the weighting of experts.  
\begin{table}
\begin{tabular}{c c c c c c c c c c c c c c c c c c c c} \hline \hline \multicolumn{11}{c}{**BE No.**} \\ \hline
**Exports** & **1** & **2** & **3** & **4** & **5** & **6** & **7** & **8** & **9** & **10** & **11** & **12** & **13** & **14** & **15** & **16** & **17** & **18** & **19** & **20** \\ \hline
1 & L & MH & L & ML & VH & ML & MH & M & H & H & MH & M & L & ML & M & ML & M & ML & ML & M \\
2 & L & M & L & M & H & ML & M & MH & H & H & M & MH & L & L & ML & ML & ML & ML & M \\
3 & ML & M & VL & M & H & L & MH & ML & M & M & ML & ML & ML & ML & ML & L & M \\
4 & L & M & ML & MH & H & ML & H & MH & MH & M & MH & ML & M & ML & ML & M & L & L & MH \\
5 & ML & M & L & M & H & ML & MH & MH & M & MH & ML & ML & MH & ML & L & ML & L & M \\
6 & M & M & VL & M & VH & M & MH & M & M & VH & VH & ML & LH & LH & LM & ML & M & M & M \\
7 & ML & ML & ML & ML & MH & ML & H & H & MH & M & M & M & H & ML & ML & MH & ML & ML & ML \\
8 & H & M & ML & M & MH & MH & VH & H & VH & VH & VH & VH & VH & VH & VH & M & M & H & H \\
9 & VL & ML & L & ML & H & H & MH & L & M & M & M & MH & M & ML & ML & M & L & L & L & ML \\
10 & M & MH & M & ML & L & ML & VL & ML & M & M & ML & VL & VL & VL & VL & ML & L & VL & VL & VL \\
11 & VH & M & M & M & MH & MH & MH & MH & M & M & M & M & M & ML & ML & ML & ML & ML & ML \\ \hline \hline \end{tabular}
\end{table}
Table 5: Linguistic results of experts evaluations of BEs.  
If the FP value of all BEs is known, the FP value of the TE can be calculated. The probability values of the BEs obtained from the fuzzification to the probability-generation stages were placed in the FT, finding the MCSs of FT and using Equation (4), and the probability value of the TE was calculated. In this study, the FP value of the TE was found to be \(1.0414\times 10^{-2}\).  
Apply Equation (5) to analyze the importance of the MCSs obtained from FT in Figure 5. In this study, there were a total of 22 MCSs for the TE. The FV-I values and rankings of the MCSs are given in Table 9.