# Fuzzy Comprehensive Evaluation of Pilot Cadets' Flight Performance Based on G1 Method
## 4 Results and Discussions
### Flight Performance Evaluation  
Based on the calculation results of the weights, the evaluation results of the main criteria element of the pilot cadets' traffic pattern flight performance are calculated using a fuzzy evaluation model. Taking the pilot cadet 1 as an example, a comprehensive evaluation of this pilot cadet's traffic pattern flight performance is conducted using a fuzzy comprehensive evaluation method. The maximum deviations of the first pilot cadet in the 19 evaluation indicators are shown in Table 7. \begin{table}
\begin{tabular}{c c c c} \hline \hline
**Element** & \(W_{i}\) & **Indicator** & \(w_{i}\) \\ \hline  & & \(u_{1}\) & 0.0279 \\  & & \(u_{2}\) & 0.0316 \\  & & \(u_{3}\) & 0.0863 \\  & & \(u_{4}\) & 0.0437 \\ Aircraft Energy Control (\(U_{1}\)) & 0.4065 & \(u_{5}\) & 0.0886 \\  & & \(u_{6}\) & 0.2081 \\  & & \(u_{7}\) & 0.1684 \\  & & \(u_{8}\) & 0.1296 \\  & & \(u_{9}\) & 0.2158 \\ \hline  & & \(u_{10}\) & 0.2559 \\ Aircraft attitude control (\(U_{2}\)) & 0.2765 & \(u_{11}\) & 0.2004 \\  & & \(u_{12}\) & 0.2228 \\  & & \(u_{13}\) & 0.3209 \\ \hline  & & \(u_{14}\) & 0.1251 \\  & & \(u_{15}\) & 0.0882 \\ Aircraft path control (\(U_{3}\)) & 0.3170 & \(u_{16}\) & 0.1295 \\  & & \(u_{17}\) & 0.2089 \\  & & \(u_{18}\) & 0.2440 \\  & & \(u_{19}\) & 0.2043 \\ \hline \hline \end{tabular}
\end{table} 
Table 6: The weights of each indicator. \begin{table}
\begin{tabular}{c c c c} \hline \hline
**Indicator** & **Maximum Deviation Value** & **Indicator** & **Maximum Deviation Value** \\ \hline \(u_{1}\) & \(-143.24\) & \(u_{11}\) & 12.52 \\ \(u_{2}\) & \(-153.80\) & \(u_{12}\) & 12.23 \\ \(u_{3}\) & 56.04 & \(u_{13}\) & 15.81 \\ \(u_{4}\) & 9.68 & \(u_{14}\) & \(-5.42\) \\ \(u_{5}\) & 163.40 & \(u_{1 Based on the deviations shown in Table 7, the evaluation matrix (see Equations (9)-(11)) of the main criteria elements for the pilot cadet 1 is calculated using the membership function Equation (5). \[R_{1}= \begin{bmatrix}0.6238&0.3762&0&0\\ 0&0.6324&0.3676&0\\ 1&0&0&0\\ 0.81&0.19&0&0\\ 1&0&0&0\\ 1&0&0&0\\ 1&0&0&0\\ 1&0&0&0\\ 1&0&0&0\\ \end{bmatrix}  \tag{9}\]  
\[R_{2}= \begin{bmatrix}1&0&0&0\\ 1&0&0&0\\ 1&0&0&0\\ 1&0&0&0\\ 1&0&0&0\\ \end{bmatrix}  \tag{10}\]  
\[R_{3}= \begin{bmatrix}0.8&0.2&0&0\\ 1&0&0&0\\ 0&0.3533&0.6467&0\\ 1&0&0&0\\ 0.13&0.87&0&0\\ 1&0&0&0\\ \end{bmatrix}  \tag{11}\]  
According to Equation (7), the evaluation results \(B_{i}\) of the pilot cadet 1 can be calculated as follows:  
\[B_{1}= \begin{bmatrix}0.9496&0.0388&0.0116&0\end{bmatrix}  \tag{12}\]  
\[B_{2}= \begin{bmatrix}1&0&0&0\end{bmatrix}  \tag{13}\]  
\[B_{3}= \begin{bmatrix}0.6332&0.2831&0.0837&0\end{bmatrix}  \tag{14}\]  
Following the principle of maximum membership degree, the evaluation results of the pilot cadet 1 at the level of the main criteria elements are shown in Table 8. \begin{table}
\begin{tabular}{c c c c} \hline \hline
**Indicator** & **Value** & **Indicator** & **Value** \\ \hline \(u_{1}\) & \(-15.05\) & \(u_{11}\) & \(-11.13\) \\ \(u_{2}\) & \(58.38\) & \(u_{12}\) & \(-8.82\) \\ \(u_{3}\) & \(6.93\) & \(u_{13}\) & \(-8.55\) \\ \(u_{4}\) & \(1.38\) & \(u_{14}\) & \(-1.20\) \\ \(u_{5}\) & \(-135.63\) & \(u_{15}\) & \(0.31\) \\ \(u_{6}\) & \(-39.39\) & \(u_{16}\) & \(-4.94\) \\ \(u_{7}\) & \(-12.63\) & \(u_{17}\) & \(0.01\) \\ \(u_{8}\) & \(0.14\) & \(u_{18}\) & \(-1.87\) \\ \(u_{9}\) & \(-0.14\) & \(u_{19}\) & \(-0.15\) \\ \(u_{10}\) & \(-8.44\) & - & - \\ \hline \hline \end{tabular}
\end{table} 
Table 7: The maximum deviations of the first pilot cadet in the 19 evaluation indicators. Since the calculation results show that \(\sum\limits_{i=1}^{n}{b_{i}}=1\), it is not necessary to normalize the evaluation results of the main criteria elements when constructing a comprehensive evaluation matrix for the pilot cadet 1. Therefore, the comprehensive evaluation matrix \(R\) for flight performance can be obtained. \[R= \begin{bmatrix}0.9496&0.0388&0.0116&0\\ 1&0&0&0\\ 0.6332&0.2831&0.0837&0\end{bmatrix}