## 6 Example Analysis
### Single-Level Fuzzy Comprehensive Evaluation
(3) Calculate the combination weights  
AHP and entropy weight method are used synthetically to determine the subjective weights and objective weights of the indicators, respectively. The combination weights of indicators are given by Equation (12) with the results, as shown in Table 7. \begin{table}
\begin{tabular}{c c c c} \hline \hline
**Single-Level Indicators** & **Two-Level Indicators** & **Three-Level Indicators** & **The Weights of Indicators** \\ \hline \multirow{6}{*}{\(U\)} & & \(U_{11}\) & 0.0105 \\  & & \(U_{12}\) & 0.0050 \\  & & \(U_{13}\) & 0.2814 \\  & & \(U_{14}\) & 0.0320 \\  & & \(U_{15}\) & 0.0044 \\ \cline{2-4}  & & \(U_{21}\) & 0.1329 \\  & & \(U_{22}\) & 0.1300 \\  & & \(U_{23}\) & 0.0339 \\  & & \(U_{24}\) & 0.0179 \\ \cline{2-4}  & & \(U_{31}\) & 0.1072 \\  & & \(U_{32}\) & 0.1993 \\  & & \(U_{33}\) & 0.0140 \\  & & \(U_{34}\) & 0.0064 \\ \cline{2-4}  & & \(U_{4}\) & \(U_{41}\) & 0.0023 \\  & & \(U_{42}\) & 0.0042 \\ \cline{2-4}  & & \(U_{5}\) & \(U_{51}\) & 0.0171 \\ \cline{2-4}  & & \(U_{11}\) & 0.1443 & 0.0105 \\  & & \(U_{12}\) & 0.4309 & 0.0050 \\  & & \(U_{13}\) & 0.3155 & 0.2814 \\  & & \(U_{14}\) & 0.0665 & 0.0320 \\  & & \(U_{15}\) & 0.0429 & 0.0044 \\ \cline{2-4}  & & \(U_{21}\) & 0.5280 & 0.1329 \\  & & \(U_{22}\) & 0.3221 & 0.1300 & 0.3171 \\  & & \(U_{23}\) & 0.0604 & 0.0339 & 0.0602 \\  & & \(U_{24}\) & 0.0895 & 0.0179 & 0.0892 \\ \cline{2-4}  & & \(U_{31}\) & 0.3326 & 0.1072 & 0.3278 \\  & & \(U_{32}\) & 0.1136 & 0.1993 & 0.1170 \\  & & \(U_{33}\) & 0.2572 & 0.0140 & 0.2565 \\  & & \(U_{34}\) & 0.2975 & 0.0064 & 0.2971 \\ \hline \multirow{6}{*}{\(U\)} & & \(U_{41}\) & 0.2500 & 0.0023 & 0.2499 \\  & & \(U_{42}\) & 0.7500 & 0.0042 & 0.7494 \\ \cline{2-4}  & & \(U_{51}\) & 0.1429 & 0.0171 & 0.1425 \\ \cline{2-4}  & & \(U_{52}\) & 0.8571 & 0.0014 & 0.8569 \\ \hline \hline \end{tabular}
\end{table} 
Table 6: Objective weights of energy saving and emission reduction evaluation indicators of electricity retailers. \begin{table}
\begin{tabular}{c c c c c} \hline \hline
**Single-Level Indicators** & **Two-Level Indicators** & **Three-Level Indicators** & **Weights of Energy Saving and Emission Reduction Effects Indicators of Electricity Retailers** \\ \cline{3-5}  & & & \multicolumn{2}{c}{**Entropy Weight Method**} & **Combination Weights** \\ \hline \multirow{6}{*}{\(U\)} & & \(U_{11}\) & 0.1443 & 0.0105 & 0.1440 \\  & & \(U_{12}\) & 0.4309 & 0.0050 & 0.4305 \\  & & \(U_{13}\) & 0.3155 & 0.2814 & 0.3136 \\  & & \(U_{14}\) & 0.0665 & 0.0320 & 0.0663 \\  & & \(U_{15}\) & 0.0429 & 0.0044 & 0.0429 \\ \cline{2-4}  & & \(U_{21}\) & 0.5280 & 0.1329 & 0.5176 \\  & & \(U_{22}\) & 0.3221 & 0.1300 & 0.3171 \\  & & \(U_{23}\) & 0.0604 & 0.0339 & 0.0602 \\  & & \(U_{24}\) & 0.0895 & 0.0179 & 0.0892 \\ \cline{2-4}  & & \(U_{31}\) & 0.3326 & 0.1072 & 0.3278 \\  & & \(U_{32}\) & 0.1136 & 0.1993 & 0.1170 \\  & & \(U_{33}\) & 0.2572 & 0.0140 & 0.2565 \\  & & \(U_{34}\) & 0.2975 & 0.0064 & 0.2971 \\ \hline \multirow{6}{*}{\(U\)} & & \(U_{41}\) & 0.2500 & 0.0023 & 0.2499 \\  & & \(U_{42}\) & 0.7500 & 0.0042 & 0.7494 \\ \cline{2-4}  & & \(U_{51}\) & 0.1429 & 0.0171 & 0.1425 \\ \cline{2-4}  & & \(U_{52}\) & 0.8571 & 0.0014 & 0.8569 \\ \hline \hline \end{tabular}
\end{table} 
Table 7: Combination weights of energy saving and emission reduction effects evaluation indicators of electricity retailers. According to the distribution results of weights, we see that the importance ranking results of the two-level indicators to the energy saving and emission reduction effects of electricity retailers are followed by integrated energy services, technical means, market transactions, social responsibilities, and management system. It can be seen from the above that the level of integrated energy services has the greatest impact on the energy saving and emission reduction effects for electricity retailers among the two-level indicators, while the management system has the worst. To explore the impact of the three-level indicators on the two-level, the analysis results are as follows.