## 3 Results
### Technical Parameter Mapping of Elderly Game Products  
Based on the key user needs of ease of use, fun, and comfort mentioned above, the information independence principle was combined to effectively map elements across different fields. This process transformed the elderly users' requirement parameters (CA) into functional parameters (FA) for elderly-friendly game products, as shown in Table 7. The resulting matrix of the functional requirements is given by Equation (23). \[\left\{ \begin{array}{c}FR_{11}\\ FR_{12}\\ FR_{21}\\ FR_{22}\\ FR_{31}\\ FR_{32}\\ FR_{41}\\ FR_{42}\\ FR_{43}\\ FR_{44}\\ FR_{51}\\ FR_{52}\end{array} \right\}=\left\{ \begin{array}{c}\text{Easily understandable information}\\ \text{Selectable game difficulty}\\ \text{Bright and harmonious color scheme}\\ \text{Simple geometric shapes}\\ \text{Physically interactive products}\\ \text{Recreational game elements}\\ \text{Immediate feedback response}\\ \text{Compact and lightweight}\\ \text{Clear product operation guide}\\ \text{Simple game operation}\\ \text{Durable materials}\\ \text{Ergonomic dimensions suitable for elderly}\end{array} \right\} \tag{23}\] \begin{table}
\begin{tabular}{c c c c c c} \hline
**Criterion Layer** & **Weight** & **Sub-Criterion Layer** & **Weight** & **Comprehensive Weight** & **Ranking** \\ \hline \multirow{4}{*}{X\({}_{4}\)} & \multirow{4}{*}{0.407} & X\({}_{41}\) & 0.192 & 0.0781 & 4 \\  & & X\({}_{42}\) & 0.111 & 0.0452 & 8 \\  & & X\({}_{43}\) & 0.255 & 0.1038 & 2 \\  & & X\({}_{44}\) & 0.422 & 0.1718 & 1 \\ \hline \multirow{4}{*}{X\({}_{5}\)} & \multirow{4}{*}{0.110} & X\({}_{51}\) & 0.177 & 0.0195 & 16 \\  & & X\({}_{52}\) & 0.140 & 0.0154 & 18 \\ \cline{1-1}  & & X\({}_{53}\) & 0.264 & 0.0290 & 13 \\ \cline{1-1}  & & X\({}_{54}\) & 0.419 & 0.0461 & 7 \\ \hline \end{tabular}
\end{table} 
Table 6: Cont. In alignment with aging-friendly design principles, the functional requirements of aging-friendly game products were further mapped into specific design parameters suitable for production and processing. The results are listed in Table 8 and in the design parameter set matrix (24). \[ \begin{cases}DP_{11}\\ DP_{12}\\ DP_{21}\\ DP_{22}\\ DP_{31}\\ DP_{32}\\ DP_{41}\\ DP_{42}\\ DP_{43}\\ DP_{44}\\ DP_{51}\\ DP_{52}\end{cases} \left\{ \begin{array}{c}\text{Common universal icons and symbols to reduce language dependency}\\ \text{Personalized game difficulty options}\\ \text{Bright low $-$ saturation primary color, with local high $-$ saturation color}\\ \text{Circular, square, and triangular $-$ shaped outlines}\\ \text{Modular physical props}\\ \text{Timed challenge games}\\ \text{\"Ding\" sound cue for feedback}\\ \text{Compact design, small and easy to move}\\ \text{Add lighting guidance to the product interface to guide users to complete the game}\\ \text{Single $-$ hand $-$ operated props}\\ \text{ABS plastic material}\\ \text{Enlarged icons and buttons based on elderly usersvisual and hand size characteristics}\end{array} \right\} \tag{24}\]  
Incorporating the functional requirements and design parameters of elderly-friendly game products into Equation (9) results in the first-level design matrix for FRn and DPn, as shown in Equation (25). Based on the design matrix type shown in Figure 6, this matrix is a non-coupled diagonal matrix, confirming the rationality of the design parameters. \[\left[ \begin{array}{c}FR_{1}\\ FR_{2}\\ FR_{3}\\ FR_{4}\\ FR_{5}\end{array} \right]=\left[ \begin{array}{ccccc}X&O&O&O&O\\ O&X&O&O&O\\ O&O&X&O&O\\ O&O&O&X&O\\ O&O&O&O&X\end{array} \right]\left[ \begin{array}{c}DP_{1}\\ DP_{2}\\ DP_{3}\\ DP_{4}\\ DP_{5}\end{array} \right] \tag{25}\]  
A second-level design matrix was established for FRnm and DPnm. The final design matrix for elderly-friendly puzzle game products, as shown in Equation (26), is a non-coupled diagonal matrix. This conforms to the independence axiom of the AD theory, ensuring that the design parameters can align with user needs without conflict. Thus, these parameters were deemed reasonable and appropriate for subsequent manufacturing and processing.