## 3 Method
### Construction of Judgment Matrices and Consistency Tests
#### 3.3.2 Relative Weight and Consistency Test  
As shown in Table 4, the weights of the criterion layer are 0.164, 0.080, 0.275, 0.335, and 0.146, with the highest weights assigned to scene experience and sensory experience. These five weight values are multiplied by the corresponding indicators in the sub-criteria layer, followed by a consistency test to verify the rationality of the results. Formula (4) is employed to confirm that \(CR=0.054<0.1\), demonstrating that the evaluation model passes the consistency test. Finally, the relative weight results, shown in Table 10, indicate that scene immersion (C13), vision (C8), and accuracy of information transmission (C2) are the most critical factors. The weights are 0.184, 0.124, and 0.104. The consistency of operational behavior (C1) and the rationality of color application (C4) hold relatively low importance. Among all indicators, the accuracy of packaging function realization (C15) carries the least weight and exerts the most minor influence on virtual packaging design. Additionally, the score (M) of the virtual packaging multi-sensory evaluation model is  
\begin{table}
\begin{tabular}{c c c c c} \hline \hline
**Matrix 3** & \begin{tabular}{c} **Rationality of Color** \\ **Application (C4)** \\ \end{tabular} & \
\begin{tabular}{c} **Coordination of Color** \\ **and Environment (C5)** \\ \end{tabular} &
\begin{tabular}{c} **Replaceability of** \\ **Color Groups (C6)** \\ \end{tabular} & **Weight** \\ \hline Rationality of color application (C4) & 1 & 1/3 & 1/2 & 0.163 \\ Coordination of color and & & & & \\ environment (C5) & 3 & 1 & 2 & 0.540 \\ Replaceability of color groups (C6) & 2 & 1/2 & 1 & 0.297 \\ \hline \hline \end{tabular}
\end{table}
Table 6: Judgment matrix for pairwise comparison of criteria C4 to C6.  
\begin{table}
\begin{tabular}{c c c c c c} \hline \hline
**Matrix 4** & **Hearing (C7)** & **Vision (C8)** & **Touch (C9)** & **Smell (C10)** & **Taste (C11)** & **Weight** \\ \hline Hearing (C7) & 1 & 1/6 & 1/3 & 3 & 2 & 0.131 \\ Vision (C8) & 6 & 1 & 3 & 3 & 3 & 0.450 \\ Touch (C9) & 3 & 1/3 & 1 & 3 & 2 & 0.233 \\ Smell (C10) & 1/3 & 1/3 & 1/3 & 1 & 1/2 & 0.073 \\ Taste (C11) & 1/2 & 1/3 & 1/2 & 2 & 1 & 0.114 \\ \hline \hline \end{tabular}
\end{table}
Table 7: Judgment matrix for pairwise comparison of criteria C7 to C11.  
\begin{table}
\begin{tabular}{c c c c} \hline \hline
**Matrix 5** &
\begin{tabular}{c} **Adaptation of Scene** \\ **and Packaging (C12)** \\ \end{tabular} & **Scene Immersion (C13)** & **Scene Entertainment (C14)** & **Weight** \\ \hline Adaptation of scene and & 1 & 1/3 & 1 & 0.210 \\ packaging (C12) & 3 & 1 & 2 & 0.550 \\ Scene immersion (C13) & 1 & 1/2 & 1 & 0.240 \\ Scene entertainment (C14) & 1 & 1/2 & 1 & 0.240 \\ \hline \hline \end{tabular}
\end{table}
Table 8: Judgment matrix for pairwise comparison of criteria C12 to C14.  
\begin{table}
\begin{tabular}{c c c c c} \hline \hline
**Matrix 6** & \begin{tabular}{c} **Accuracy of Packaging** \\ **Function Realization** \\ **(C15)** \\ \end{tabular} & \
\begin{tabular}{c} **Matching Degree of** \\ **Packaging Function** \\ **(C16)** \\ \end{tabular} &
\begin{tabular}{c} **Suitability of Packing** \\ **Model and Function** \\ **(C17)** \\ \end{tabular} & **Weight** \\ \hline Accuracy of packaging & 1 & 1/4 & 1/7 & 0.079 \\ Matching degree of & 4 & 1 & 1/3 & 0.263 \\ packaging function (C16) & 7 & 3 & 1 & 0.659 \\ The suitability of packing & & & & \\ model and function (C17) & & & & \\ \hline \hline \end{tabular}
\end{table}
Table 9: Judgment matrix for pairwise comparison of criteria C15 to C17.  
established, as shown in Equation (5). Each indicator's score (G) is multiplied by the corresponding weight (W), and the total sum is calculated:  
\[X=\sum_{i=1}^{17}G_{i}W_{i} \tag{5}\]