# An Assessment Model for Air Passenger Risk Classification
## 2 Assessment Model for Air Passenger Risk Classification
### Improved Fuzzy Comprehensive Evaluation Method
#### 2.3.4 Improved Fuzzy Relation Matrices
\begin{table}
\begin{tabular}{c c c} \hline \hline
**Second-Level Indexes** & **Dimension** & **Single Factor Evaluation Vectors** \\ \hline \multirow{4}{*}{Annual number of flights \(u_{\text{S1}}\)} & 0–10 times & \([-0.0245x+0.7388,\) \\  & (\(0\leq x\leq 10\)) & \(0.0133x+0.1582,\) \\  & 11–20 times & \([-0.0265x+0.7371,\) \\  & (\(11\leq x\leq 20\)) & \(0.32,\) \\  & & \(0.0265x-0.0571]\) \\  & More than 20 times & \([-0.199\ln(x)+0.7952,\) \\  & (\(x>20\)) & \(-0.156\ln(x)+0.7143,\) \\  & & \(0.355\ln(x)-0.5095]\) \\  & 0 yuan & \([0.6,0.2,0.2]\) \\ Aviation insurance amount \(u_{\text{S2}}\) & 20 ten thousand yuan & \([0.3,0.3,0.4]\) \\  & (\(x=20\)) & \([0.4,0.3,0.3]\) \\  & 40 ten thousand yuan & \([0.271\ln(x)-0.6235,\) \\  & and above & \(-0.106\ln(x)+0.7395,\) \\  & (\(x\geq 40\)) & \(-0.165\ln(x)+0.884]\) \\ Flight information \(u_{\text{S3}}\) & Destination or origin without & \([0.0014x^{2}-0.0642x+0.7532,\) \\  & terrorist attacks in \(x\) years & \(-0.0014x^{2}+0.0146x+0.2933,\) \\  & & \(0.0496x-0.0465\) \\ Ticket type \(u_{\text{S4}}\) & Round-trip ticket & \([0.3,0.3,0.4]\) \\  & One-way ticket & \([0.4,0.3,0.3]\) \\  & 1 day before departure (inclusive) & \([-0.5407x+0.8187,\) \\  & (\(x\leq 1\)) & \(0.3297x+0.1593,\) \\ Time of buying tickets \(u_{\text{S5}}\) & 1–3 days before departure & \([0.3,\) \\  & (\(1<x\leq 3\)) & \(-0.1x+0.6,\) \\  & & \(0.1x+0.1\) \\  & 4–7 days before departure & \([-0.025x+0.3917,\) \\  & (\(4\leq x\leq 7\)) & \(0.2666,\) \\  & & \(0.025x+0.3417]\) \\  & 8–14 days before departure & \([-0.035x+0.56,\) \\  & (\(8\leq x\leq 14\)) & \(0.02x-0.02,\) \\  & & \(0.015x+0.46]\) \\  & More than 14 days before & \([-0.056\ln(x)+0.2271,\) \\  & departure & \(-0.097\ln(x)+0.5009,\) \\  & (\(x>14\)) & \(0.153\ln(x)+0.272]\) \\ Method of buying tickets \(u_{\text{S6}}\) & Online payment & \([0.3,0.3,0.4]\) \\  & Cash payment & \([0.5,0.3,0.2]\) \\ \hline \hline \end{tabular}
\end{table} 
Table 13: Single factor evaluation of civil aviation travel record indexes. \begin{table}
\begin{tabular}{c c c} \hline \hline
**Second-Level Indexes** & **Dimension** & **Single Factor Evaluation Vectors** \\ \hline \multirow{4}{*}{Criminal record \(u_{\text{S4}}\)} & None & \([0,0.1]\) \\  & (\(x=0\)) & \([0.1365\ln(x)+0.7138,\) \\  & One and more times & \([0.105\ln(x)+0.2291,\) \\  & (\(x\geq 1\)) & \(-0.0315\ln(x)+0.0571]\) \\  & None & \([0.0,1]\) \\ Default \(u_{\text{S4}}\) & (\(x=0\)) & \([0.2756\ln(x)+0.294,\) \\  & One and more times & \([0.2756\ln(x)+0.294,\) \\  & (\(x\geq 1\)) & \(-0.231\ln(x)+0.6037,\) \\  & & \(-0.0446\ln(x)+0.1023]\) \\  & None & \([0.6,0.3,0.1]\) \\ Awards \(u_{\text{S4}}\) & (\(x=0\)) & \([-0.066\ln(x)+0.1494,\) \\  & (\(x\geq 1\)) & \(-0.085\ln(x)+0.2253,\) \\  & & \(0.151\ln(x)+0.6253]\) \\ Bad record of security check \(u_{\text{S4}}\) & None & \([0,0,1]\) \\  & One and more times & \([0.2974\ln(x)+0.2469,\) \\  & (\(x\geq 1\)) & \(-0.253\ln(x)+0.6508,\) \\  & & \(-0.0444\ln(x)+0.1023]\) \\ \hline \hline \end{tabular}
\end{table} 
Table 12: Single factor evaluation of personal conduct indexes.