## 4 Results and Discussion
### Research Results
#### 4.1.3 Evaluation of Fuzzy Integration  
The evaluation set in this study consists of four evaluation results, which are represented by V, i.e., V = (Important, Important, General, Unimportant). Each evaluation result in the evaluation set was converted into a specific value, where \"very important\" = 100, \"important\" = 80, \"average\" = 60, \"unimportant\" = 50. \"Not important\" = 50. The W\({}^{1}\) indicates the weight vector of the primary indicator and \(W_{1}^{2},W_{2}^{2},W_{3}^{2},\) and W\({}_{4}^{2}\) indicates the weight vector of the secondary indicator. The above weights are determined as shown in Tables 6 and 7. \( \begin{array}{l}\text{W}^{1}=(0.30,0.25,0.20,0.24);\text{ }\text{W}_{1}^{2}=(0.19,0.22,0.29,0.30);\\ \text{W}_{2}^{2}=(0.18,0.20,0.19,0.26,0.17);\text{ }\text{W}_{3}^{2}=(0.57,0.4 3);\text{ }\text{W}_{4}^{2}=(0.40,0.60)\end{array} \) \begin{table}
\begin{tabular}{c c c c c c c} \hline \hline \multirow{2}{*}{**Functionality**} & \multirow{2}{*}{Scale valuer} & Multilayer & Style transfer and transfer & Image editing function & Image repair function & \(\omega_{1j}^{2}\) \\ \cline{2-7}  & & & & & & \\ \cline{2-7}  & & & & & & \\ \cline{2-7}  & & & & & & \\ \cline{2-7}  & & & & & & \\ \cline{2-7}  & & & & & & \\ \cline{2-7}  & & & & & & \\ \cline{2-7}  & & & & & & \\ \cline{2-7}  & & & & & & \\ \cline{2-7}  & & & & & & \\ \cline{2-7}  & & & & & & \\ \cline{2-7}  & & & & & & \\ \cline{2-7}  & & & & & & \\ \cline{2-7}  & & & & & & \\ \cline{2-7}  & & & & & & \\ \cline{2-7}  & & & & & & \\ \cline{2-7}  & & & & & & \\ \cline{2-7}  & & & & & & \\ \cline{2-7}  & & & & & & \\ \cline{2-7}  & & & & & & \\ \cline{2-7}  & & & & & & \\ \cline{2-7}  & & & & & & \\ \cline{2-7}  & & & & & & \\ \cline{2-7}  & & & & & & \\ \cline{2-7}  & & & & & & \\ \cline{2-7}  & & & & & & \\ \cline{2-7}  & & & & & & \\ \hline \multirow{2}{*}{**Ease of Use**} & \multirow{2}{*}{Scale valuer} & Media suitability & Service quality & Interaction & Visual harmony & Pattern recognition & \(\omega_{1j}^{2}\) \\ \cline{2-7}  & & & & & & & \\ \cline{2-7}  & & & & & & \\ \cline{2-7}  & & & & & & \\ \cline{2-7}  & & & & & & \\ \cline{2-7}  & & & & & & \\ \hline \multirow{2}{*}{**System Performance**} & \multirow{2}{*}{Scale valuer} & Scale valuer & Service stability & System response time & \(\omega_{3j}^{2}\) \\ \cline{2-7}  & & & & & & \\ \cline{2-7}  & & & & & & \\ \cline{2-7}  & & & & & & \\ \cline{2-7}  & & & & & & \\ \hline \multirow{2}{*}{**Security**} & \multirow{2}{*}{Scale valuer} & Privacy security & Access security & \(\omega_{4j}^{2}\) \\ \cline{2-7}  & & & & & & \\ \cline{2-7}  & & & & & & \\ \cline{2-7}  & & & & & & \\ \cline{2-7}  & & & & & & \\ \hline \hline \end{tabular}
\end{table} 
Table 7: Evaluation matrix and weight of secondary evaluation. The fuzzy evaluation matrix \(\rm R_{i}\) is calculated for each indicator as follows. \(\rm R_{1}\), \(\rm R_{2}\), \(\rm R_{3}\), and \(\rm R_{4}\) are the fuzzy evaluation matrices for functionality, ease of use, system performance, and safety, respectively. \[\rm R_{1}= \begin{bmatrix}0.50&0.32&0.1&0.08\\ 0.55&0.30&0.1&0.05\\ 0.59&0.36&0.05&0\\ 0.63&0.36&0.01&0\\ \end{bmatrix} \quad\rm R_{2}= \begin{bmatrix}0.24&0.56&0.2&0\\ 0.32&0.62&0.05&0.01\\ 0.25&0.60&0.1&0.05\\ 0.32&0.66&0.02&0\\ 0.24&0.55&0.21&0\\ \end{bmatrix} \]  
\[\rm R_{3}= \begin{bmatrix}0.25&0.26&0.48&0.01\\ 0.30&0.22&0.44&0.04\\ \end{bmatrix} \quad\rm R_{4}= \begin{bmatrix}0.29&0.28&0.43&0\\ 0.27&0.33&0.40&0\\ \end{bmatrix} \]  
Let \(\rm B_{1}^{2},\leavevmode\
obreak\ B_{2}^{2},\leavevmode\
obreak\ B_{3}^{2}, \leavevmode\
obreak\ and\leavevmode\
obreak\ B_{4}^{2}\) be the second layer of fuzzy integrated evaluation matrix and \(\rm B1\) be the first layer of fuzzy integrated evaluation matrix. \[\rm B_{1}^{2} =\rm W_{1}^{2}\cdot R_{1}=(0.19,0.22,0.29,0.30)\cdot \begin{bmatrix} 0.50&0.32&0.1&0.08\\ 0.55&0.30&0.1&0.05\\ 0.59&0.36&0.05&0\\ 0.63&0.36&0.01&0\\ \end{bmatrix} =(0.58,0.34,0.06,0.03)\] \[\rm B_{2}^{2} =\rm W_{2}^{2}\cdot R_{2}=(0.18,0.20,0.19,0.26,0.17)\cdot