## 3 System Architecture and Methodology
### Multi-Criteria Decision Making (MCDM)  
Three kinds of gloves can be easily bought at a relatively low cost. For these reasons, they have the highest priority in consideration. They are labor gloves, slip-proof gloves, and nylon gloves. A multi-criteria decision-making (MCDM) analysis has been built for evaluation shown in Figure 4. The goal, criteria and alternatives are also shown in Figure 4. A survey was conducted to obtain the opinion and perception of the glove's selection assessment. One hundred questionnaires were distributed to the participants through Google Forms in 2021. All the questionnaires are received from undergraduate students in Hong Kong. Table 3 shows the summarized results. Figure 4: Multi-criteria decision making for glove’s selection assessment. Figure 3: Proposed wearable hand device. \begin{table}
\begin{tabular}{c c c c c} \hline \hline  & **1** & **2** & **3** & **4** \\ \hline Attribute or criteria & Cost & Comfortability & Processability & Flexibility \\ \hline \hline \end{tabular}
\end{table} 
Table 4: Attribute of FAHP. Figure 5: Membership function [106; 107; 108; 109; 110; 111; 112]. Figure 6: Fuzzy AHP. Fuzzification is used in the fuzzy system. It can cause covert linguistic gum in the membership function. As the shape of the membership function is triangular, it is known as a triangular membership function. \[\mu(x)=\widetilde{A}=(1,\,2,\,3) \tag{1}\]  
\(\mu_{\hat{A}}(x)\) is the fuzzy value. (1, 2, 3) are fuzzy numbers associated with the membership function. These fuzzy numbers are the triangle's lower, middle, and upper ends on the \(x\)-axis, shown in Table 5.  
On the scale of relative importance, the quiz numbers such as 1,3,5,7,9 are spirited with fuzzy numbers. It seems that assigning a single number to any thumb is not justified. Moderate has the given number (2, 3, 4), which are the triangle's lower, middle, and upper points. The corresponding triangle is the membership function for the moderate. The intermediate membership functions are shown in the red lines. Table 6 shows the pairwise comparison matrix. Referring to the fuzzy scale of relative importance, the corresponding fuzzy number can replace the numeric value, but the fractional values are not converted into a fuzzy number. \[\widetilde{A}^{-1}=\left(l,\,m,\,u\right)^{-1}=\left(\frac{1}{u^{\prime}},\, \frac{1}{m^{\prime}},\,\frac{1}{l}\right) \tag{2}\] \begin{table}
\begin{tabular}{c c c c c} \hline \hline  & **Price or Cost** & **Storage Space** & **Camera** & **Looks** \\ \hline Cost & 1 & 5 & 4 & 7 \\ \hline Comfortability & \(\frac{1}{5}\) & 1 & \(\frac{1}{2}\) & 3 \\ \hline Processability & \(\frac{1}{4}\) & 2 & 1 & 3 \\ \hline Flexibility & \(\frac{1}{7}\) & \(\frac{1}{3}\) & \(\frac{1}{3}\) & 1 \\ \hline \multicolumn{5}{c}{**Price or Cost**} & **Storage Space** & **Camera** & **Looks** \\ \hline Cost & (1,1,1) & (4,5,6) & (3,4,5) & (6,7,8) \\ \hline Comfortability & \(\frac{1}{5}\) & (1,1,1) & \(\frac{1}{2}\) & (2,3,4) \\ \hline Processability & \(\frac{1}{4}\) & (1,2,3) & (1,1,1) & (2,3,4) \\ \hline Flexibility & \(\frac{1}{7}\) & \(\frac{1}{3}\) & \(\frac{1}{3}\) & (1,1,1) \\ \hline \hline \end{tabular}
\end{table} 
Table 6: Pairwise comparison matrix. \begin{table}
\begin{tabular}{c c c} \hline \hline  & **Numeric Value** & **Fuzzy Number** \\ \hline Equal & 1 & (1,1,1) \\ \hline Moderate & 3 & (2,3,4) \\ \hline Strong & 5 & (4,5,6) \\ \hline Very strong & 7 & (6,7,8) \\ \hline Extremely strong & 9 & (9,9,9) \\ \hline \multirow{4}{*}{Intermediate values} & 2 & (1,2,3) \\ \cline{2-3}  & 4 & (3,4,5) \\ \cline{1-1}  & 6 & (5,6,7) \\ \cline{1-1}  & 8 & (7,8,9) \\ \hline \hline \end{tabular}
\end{table} 
Table 5: The fuzzy scale of relative importance [110, 111, 112]. Using the above equation, the fractions can be converted to fuzzy numbers. Table 7 shows the fuzzified pairwise comparison matrix. The geometric mean is used to calculate the weights. The fuzzy geometric mean value \(\widetilde{r}_{1}\) can be calculated by the equation as shown below [106; 107; 108; 109; 110; 111; 112].