# Comprehensive Evaluation of NIMBY Phenomenon with Fuzzy Analytic Hierarchy Process and Radar Chart
## 4 Results
### Fuzzy Analytic Hierarchy Process (FAHP)  
The method utilizes the four-step FAHP method to determine the weights of the criteria. Experts are required to provide their judgments on the basis of their expertise and to compare every factor pairwise in their corresponding section structured in the hierarchy. Then, these experts' preferences are converted into a fuzzy number-evaluation matrix. The defuzzication is employed to transform the fuzzy scales into crisp scales for the computation of priority weights. \begin{table}
\begin{tabular}{c c c} \hline \hline
**Units** & **Elements** & **Comprehensive Score** \\ \hline \multirow{6}{*}{U1: Anti-risk ability of citizens} & A1: Low income & 4.47 \\  & A2: Raise children & 4.16 \\  & A3: Permanent residence & 4.02 \\  & A4: Poor infrastructure & 4.06 \\  & A5: Support the elderly & 3.92 \\  & B1: Lack of understanding about risk factors & 4.04 \\  & B2: Low level of education & 4.11 \\  & B3: Difficult to access information & 4.06 \\  & B4: Low level of scientific awareness & 3.96 \\  & B5: Low trust in the corporations & 4.49 \\  & B6: Low credibility of the government & 4.23 \\  & C1: High level of noise & 3.91 \\  & C2: High level of radio interference & 3.22 \\  & C3: High inductive current & 3.12 \\  & C4: Severe environmental pollution & 3.54 \\  & C5: High magnetic field & 4.08 \\  & C6: Risk of falling tower & 3.26 \\  & C7: Risk of spontaneous combustion & 3.09 \\  & D1: High population density & 4.17 \\  & D2: Long span & 3.49 \\  & D3: Near the city center & 3.69 \\  & D4: Away from load centers & 3.87 \\  & D5: Large equipment footprint & 4.12 \\  & D6: Inconvenient transportation & 4.09 \\  & E1: Low public participation & 4.36 \\  & E2: Low public satisfaction & 3.94 \\ U5: Promotion and communication & E3: Low information disclosure & 4.45 \\  & E4: Low information accuracy & 3.87 \\  & E5: Negative media orientation & 4.19 \\  & F1: Residents do not accept compensation & 3.09 \\  & F2: Compensation is not paid by corporation & 2.73 \\ \hline \hline \end{tabular}
\end{table} 
Table 6: Comprehensive score for each element of the risk model. \begin{table}
\begin{tabular}{c c c} \hline \hline
**Investigator** & **Number** & **Percentage** \\ \hline Local government & 33 & 21.7\% \\ Power-grid corporation & 48 & 31.6\% \\ Local residents & 71 & 46.7\% \\ Total & 152 & 100\% \\ \hline \hline \end{tabular}
\end{table} 
Table 5: The statistics of the questionnaire survey. The judgement matrix \(A\) of units can be acquired using Equation (5) through the expert scoring of the study. Similarly, the judgement matrix \(A\) of elements can be calculated as follows:  
\[\mathbf{U}_{1}= \begin{bmatrix}1&1/2&1/3&1/5&1/2\\ 2&1&1/2&1/4&1\\ 3&2&1&1/2&2\\ 5&4&2&1&3\\ 2&1&1/2&1/3&1\end{bmatrix}  \tag{6}\]  
\[\mathbf{U}_{2}= \begin{bmatrix}1&3&2&3&5&4\\ 1/3&1&1/3&1/2&3&2\\ 1/2&3&1&2&4&3\\ 1/3&2&1/2&1&3&2\\ 1/5&1/3&1/4&1&3&2\\ 1/4&1/2&1/3&1/2&2&1\end{bmatrix}  \tag{7}\]  
\[\mathbf{U}_{3}= \begin{bmatrix}1&1&1&1/2&1&1/2&1/2\\ 1&1&1&2&1&1/2&1/2\\ 1&1&1&2&1&1/2&1/2\\ 2&1/2&1/2&1&1/2&1/3&1/3\\ 1&1&1&2&1&1/2&1/2\\ 2&2&2&3&2&1&1\\ 2&2&2&3&2&1&1\end{bmatrix}  \tag{8}\]  
\[\mathbf{U}_{4}= \begin{bmatrix}1&1/4&1/2&1/3&1/4&1/5\\ 4&1&3&2&1&1/2\\ 2&1/3&1&1/2&1/3&1/4\\ 3&1/2&2&1&1/2&1/3\\ 4&1&3&2&1&1/2\\ 5&2&4&3&2&1\end{bmatrix}  \tag{9}\]  
\[\mathbf{U}_{5}= \begin{bmatrix}1&2&1&2&3\\ 1/2&1&1/2&1&2\\ 1&2&1&2&3\\ 1/2&1&1/2&1&2\\ 1/3&1/2&1/3&1/2&1\end{bmatrix}  \tag{10}\]  
\[\mathbf{U}_{6}= \begin{bmatrix}1&3\\ 1/3&1\end{bmatrix}  \tag{11}\]  
The weights of the 31 indicators are \(W_{1}=\) [0.0734, 0.1259, 0.2365, 0.4309, 0.1332], \(W_{2}=\) [0.3578, 0.1166, 0.2429, 0.1512, 0.0513, 0.0802], \(W_{3}=\) [0.1030, 0.1188, 0.1188, 0.0863, 0.1188, 0.2271, 0.2271], \(W_{4}=\) [0.0496, 0.2054, 0.0762, 0.1226, 0.2054, 0.3409] and \(W_{5}=\) [0.2976, 0.1579, 0.2976, 0.1579, 0.0890], \(W_{6}=\) [0.7500, 0.2500]. The weights of the 31 evaluation indicators were calculated using the FAHP method.