## 3 Research Methodology
### Construction of the AHP Model
#### 3.2.5 Determination of Weights
\begin{table}
\begin{tabular}{c c c c c} \hline \hline
**Functional** & **Practical** & **Versatile** & **Safe** & **wi** \\ \hline Practical & 1 & 2.352158 & 0.334156 & 0.240195 \\ Versatile & 0.425124 & 1 & 0.195530 & 0.113589 \\ Safe & 2.992556 & 5.114623 & 1 & 0.646216 \\  & & \(\lambda\it max=3.011348\), \(CI=\frac{\lambda\it max-n}{n-1}=\frac{3.001348-3}{3-1}=0.005674\) & \\ Consistency test & & When n = 3, the average random consistency index RI = 0.58 & \\  & & \(CR=\frac{CI}{RI}=\frac{0.005674}{0.58}=0.009783\) \textless{} 0.1, conformance check passed & \\ \hline \hline \end{tabular}
\end{table} 
Table 5: Function judgment matrix and weight. Based on the perceptual vocabulary and AHP model calculation results, the optimization direction and cue words are summarized, in which the optimization direction is shape > function > material > color. In terms of modeling, the first prompt word is \"innovative\", which breaks the form of the original packaging using plastic bags or simple boxes; the second is \"stable\", which highlights the sense of historical heaviness; and the last one is \"straight\", which echoes the curve of the clay figure itself; The flatness of the packaging can echo the curve of the clay sculpture itself, combining static and dynamic elements. Functionally, the first word to be considered is \"safe\", as the characteristics of the clay sculptures themselves are more fragile, so safety is considered a prerequisite, followed by \"practical\", always adhering to the purpose of practicality in design, and finally, \"versatile\". The second is \"practical\", which is always aimed at practicality in design. The last is \"versatile\", in which various functions can increase the attractiveness of packaging. The prompt word pursued in material was \"sustainable\", sustainable material is conducive to the harmony of the environment, followed by \"soft\", and finally \"light\". The prompt word paid attention to in color was \"interesting\". The cue word is \"interesting\", and the box needs to be highly recognizable and decorative, followed by \"personalized\" and \"cutting-edge\". Therefore, in \begin{table}
\begin{tabular}{c c c c c} \hline \hline
**Material** & **Sustainable** & **Lightweight** & **Soft** & **wi** \\ \hline Scheme 1. & 1 & 4.373448296 & 2.352158045 & 0.610087 \\ Lightweight & 0.228652526 & 1 & 0.698799165 & 0.152220 \\ Soft & 0.425150001 & 1.430940461 & & 0.237693 \\  & \(\lambda_{\text{max}}=3.007611,\,CI=\frac{\lambda_{\text{max}}-n}{n-1}=\frac{3.007611-3}{3-1}=0.003805\) & & \\ Consistency test & \multicolumn{3}{c}{When n = 3, the average random consistency index RI = 0.58} \\  & \(CR=\frac{CI}{RI}=\frac{0.003805}{0.88}=0.006561<0.1\), conformance check passed & \\ \hline \hline \end{tabular}
\end{table} 
Table 6: Material judgment matrix and weights. \begin{table}
\begin{tabular}{c c c c} \hline \hline
**Color** & **Personalized** & **Cutting-Edge** & **Interesting** & **wi** \\ \hline Personalized & 1 & 2.550849001 & 0.334155847 & 0.243698 \\ Cutting-edge & 0.392002819 & 1 & 0.185948311 & 0.107366 \\ Interesting & 2.992555739 & 5.378268785 & 1 & 0.648936 \\  & \(\lambda max=3.013647,\,CI=\frac{\lambda_{\text{max}}-n}{n-1}=\frac{3.013647-3 }{3-1}=0.006824\) & & \\ Consistency test & \multicolumn{3}{c}{When n = 3, the average random consistency index RI = 0.58} \\  & \(CR=\frac{CI}{RI}=\frac{0.008824}{0.58}=0.011765<0.1\), conformance check passed & \\ \hline \hline \end{tabular}
\end{table} 
Table 7: Color judgment matrix and weight. \begin{table}
\begin{tabular}{c c} \hline \hline
**Norm** & **Combined Weights** \\ \hline Innovative & 0.4092 \\ Safe & 0.1942 \\ Stable & 0.0842 \\ Practical & 0.0725 \\ Sustainable & 0.0708 \\ Straight & 0.0396 \\ Versatile & 0.0343 \\ Interesting & 0.0322 \\ Soft & 0.0277 \\ Lightweight & 0.0177 \\ Personalized & 0.0122 \\ Cutting-edge & 0.0054 \\ \hline \hline \end{tabular}
\end{table} 
Table 8: Combined weights of indicators.