## 5 Illustrative Example
### Implementation
Consequently, the computation results for the four knowledge parameters are displayed in Tables 3-6, respectively. Note that the collective picture fuzzy evaluation vectors of local weights and global weights should be defuzzified and normalized, as presented in the last columns of Tables 3 and 4. \begin{table}
\begin{tabular}{c c} \hline \hline
**Linguistic Term** & **Picture Fuzzy Number** \\ \hline Very Low & (0,0,0.9) \\ Low & (0,0.5,0.4) \\ Moderate & (0,0.9,0) \\ High & (0.5,0.4,0) \\ Very High & (0.9,0,0) \\ \hline \hline \end{tabular}
\end{table} 
Table 2: Linguistic term set defined by picture fuzzy numbers (PFNs). \begin{table}
\begin{tabular}{c c c c c c c c c} \hline \hline \multirow{2}{*}{**WFFPRs**} & \multirow{2}{*}{**Global**} & \multicolumn{5}{c}{**Initial Picture Fuzzy Evaluation Vectors**} & \multicolumn{2}{c}{**Collective Picture**} & \multicolumn{2}{c}{**Defuzzification and**} \\  & **Weights** & **TM\({}_{1}\)** & **TM\({}_{2}\)** & **TM\({}_{3}\)** & **TM\({}_{4}\)** & **TM\({}_{5}\)** & **Fuzzy Evaluations** & **Normalization** \\ \hline
1 & \(gw_{1}\) & & & & & & & \\
2 & \(gw_{2}\) & (0.7.0.1.0.1) & (0.5.1.0.3) & (0.5.0.2.0) & (0.6.0.2.0.1) & (0.2.0.4.0.3) & (0.518.0.175,0.206) & 0.297 \\
3 & \(gw_{3}\) & (0.7.0.1.0.1) & (0.6.0.1.0.2) & (0.6.0.1.0.2) & (0.6.0.1.0.2) & (0.6.0.1.0.2) & (0.556.1.0.243) & 0.303 \\
4 & \(gw_{4}\) & (0.9.0.0) & (0.7.0.1.0.1) & (0.5.0.3.0.1) & (0.3.0.3.0.3) & (0.6.20.1) & (0.829.0.0.07) & 0.4 \\
5 & \(gw_{5}\) & (0.6.0.1.0.2) & (0.6.0.1.0.2) & (0.3.0.5.0.1) & (0.7.0.1.0.1) & (0.6.0.20.1) & (0.725.0.103,0.072) & 0.602 \\
6 & \(gw_{6}\) & (0.3.0.40.2) & (0.4.0.2.0.3) & (0.5.0.3.0.1) & (0.3.0.4.0.2) & (0.3.0.4.0.2) & (0.352.0.32,0.228) & 0.398 \\ Similarity degree & 0.556 & 0.588 & 0.581 & 0.599 & 0.591 & & & \\ Expert weight & 0.189 & 0.201 & 0.198 & 0.209 & 0.203 & & & \\ Consensus degree & 0.447 & 0.3598 & 0.459 & 0.345 & 0.36 & & & \\ \hline \hline \end{tabular}
\end{table} 
Table 4: Global weights on six WFFPRs by five experts. \begin{table}
\begin{tabular}{c c c c c c c c} \hline \hline \multirow{2}{*}{**WFFPRs**} & \multirow{2}{*}{**Local Weight**} & \multicolumn{5}{c}{**Initial Picture Fuzzy Evaluation Vectors**} & \multicolumn{2}{c}{**Collective Picture**} & \multicolumn{2}{c}{**Defuzzification and**} \\  & & **TM\({}_{1}\)** & **TM\({}_{2}\)** & **TM\({}_{3}\)** & **TM\({}_{4}\)** & **TM\({}_{5}\)** & **Fuzzy Evaluations** & **Normalization** \\ \hline  & \(lw_{11}\) & (0.9,0.0) & (0.8,0.05,0.05) & (0.7,0.1,0.1) & (0.8,0.05,0.05) & (0.8,0.0.1) & (0.862,0.0.038) & 0.468 \\
1 & \(lw_{21}\) & (0.5,0.1.0.3) & (0.4,0.2.0.3) & (0.5,0.2.0.2) & (0.6,0.2.0.1) & (0.5,0.1.0.3) & (0.534,0.362) & 0.292 \\
1 & \(lw_{31}\) & (0.3,0.4,0.2) & (0.3,0.4,0.2) & (0.2,0.4.0.3) & (0.3,0.3,0.3) & (0.2,0.2,0.5) & (0.304,0.27,0.324) & 0.240 \\
2 & \(lw_{42}\) & & & & & & & 1 \\
3 & \(lw_{33}\) & & & & & & 1 \\
4 & \(lw_{44}\) & & & & & & 1 \\
5 & \(lw_{5}\) & & & & & & 1 \\
6 & \(lw_{46}\) & & 0.625 & 0.544 & 0.635 & 0.540 & 0.551 & \\  & Expert weight & 0.216 & 0.187 & 0.223 & 0.185 & 0.190 & & \\  & Consensus degree & 0.357 & 0.397 & 0.378 & 0.335 & 0.385 & & \\ \hline \hline \end{tabular}
\end{table} 
Table 3: Local weights on six weight picture fuzzy production rules (WFFPRs) by five experts.