# The Application of Fuzzy Theory in the Evaluation of Visual Images of Smartphone Rear Cameras
## 3 Results and Discussions
### The Results of Fuzzy Operation  
Based on 11 representative samples (i.e., 2D images) from Figure 6, in combination with the five categories of renamed visual image adjectives in Table 9, a visual images \begin{table}
\begin{tabular}{c c c c c c c c c} \hline \hline \multirow{2}{*}{**Factor of**} & \multicolumn{3}{c}{**Initial Eigenvalues**} & \multicolumn{3}{c}{**Squares Loading Extraction**} & \multicolumn{3}{c}{**Transformed Squares Loading**} \\ \cline{2-9}  & \multirow{2}{*}{**Total**} & **Variance** & **Accumulative** & \multirow{2}{*}{**Total**} & **Variance** & **Accumulative** & \multirow{2}{*}{**Total**} & **Variance** & **Accumulative** \\  & & **(\%)** & **(\%)** & **(\%)** & **(\%)** & **(\%)** & **(\%)** & **(\%)** \\ \hline
1 & 14.827 & 49.422 & 49.422 & 14.827 & 49.422 & 49.422 & 6.785 & 22.617 & 22.617 \\
2 & 2.212 & 7.372 & 56.794 & 2.212 & 7.372 & 56.794 & 5.063 & 16.878 & 39.495 \\
3 & 1.705 & 5.684 & 62.478 & 1.705 & 5.684 & 62.478 & 3.369 & 11.229 & 50.724 \\
4 & 1.330 & 4.434 & 66.913 & 1.330 & 4.434 & 66.913 & 3.184 & 10.614 & 61.338 \\
5 & 1.186 & 3.953 & 70.866 & 1.186 & 3.953 & 70.866 & 2.858 & 9.528 & 70.866 \\ \hline \hline \end{tabular}
\end{table} 
Table 7: Total variance explained. \begin{table}
\begin{tabular}{c c c c c c} \hline \hline \multirow{2}{*}{**Adjectives**} & \multicolumn{3}{c}{**Component**} \\ \cline{2-6}  & **1** & **2** & **3** & **4** & **5** \\ \hline Individual & 0.770 & 0.247 & 0.162 & 0.208 & 0.051 \\ Spotlit & 0.768 & 0.277 & 0.159 & 0.153 & 0.118 \\ Groundbreaking & 0.767 & 0.031 & 0.311 & 0.155 & 0.201 \\ Innovative & 0.760 & 0.218 & 0.336 & 0.114 & 0.061 \\ Unique & 0.755 & 0.104 & 0.014 & 0.220 & 0.250 \\ Original & 0.748 & 0.265 & 0.175 & 0.227 & 0.174 \\ Newfangled & 0.728 & 0.384 & 0.182 & 0.162 & 0.074 \\ Fashionable & 0.587 & 0.284 & 0.216 & 0.250 & 0.353 \\ Creative & 0.575 & 0.541 & 0.193 & 0.183 & 0.177 \\ Classic & 0.498 & 0.129 & 0.494 & 0.095 & 0.434 \\ Rational & 0.110 & 0.766 & 0.294 & 0.004 & \(-\)0.040 \\ Ordered & 0.013 & 0.749 & 0.042 & 0.383 & 0.135 \\ Sequential & 0.301 & 0.725 & 0.210 & 0.114 & 0.217 \\ Rigid & 0.295 & 0.700 & 0.173 & 0.160 & 0.030 \\ Uniform & 0.331 & 0.652 & 0.147 & 0.005 & 0.431 \\ Balanced & 0.410 & 0.564 & 0.202 & 0.177 & 0.264 \\ Mechanical & 0.198 & 0.560 & 0.021 & 0.518 & \(-\)0.014 \\ Harmonious & 0.312 & 0.551 & 0.247 & \(-\)0.026 & 0.531 \\ Convenient & 0.237 & 0.337 & 0.686 & \(-\)0.006 & 0.287 \\ Durable & 0.139 & 0.244 & 0.666 & 0.457 & 0.141 \\ Solid & 0.363 & 0.364 & 0.656 & 0.151 & 0.084 \\ Quality & 0.422 & 0.195 & 0.546 & 0.354 & 0.340 \\ Technical & 0.379 & 0.155 & 0.502 & 0.454 & 0.199 \\ Superior & 0.250 & 0.150 & 0.233 & 0.669 & 0.395 \\ Future & 0.487 & 0.042 & 0.210 & 0.616 & 0.111 \\ Valuable & 0.292 & 0.381 & 0.315 & 0.547 & \(-\)0.082 \\ Fascinating & 0.489 & 0.164 & \(-\)0.174 & 0.545 & 0.389 \\ Premium & 0.188 & 0.203 & 0.448 & 0.539 & 0.333 \\ Concise & 0.221 & \(-\)0.033 & 0.147 & 0.255 & 0.753 \\ Simple & 0.113 & 0.361 & 0.292 & 0.143 & 0.695 \\ \hline \hline \end{tabular}
\end{table} 
Table 8: Transformed component matrices. \begin{table}
\begin{tabular}{c c c} \hline \hline \multicolumn{1}{c}{**Factor**} & **Factor Naming** & **Adjective Groups** \\ \hline
1 & Innovative and Fashionable & \multirow{2}{*}{Individual; Spotlit; Groundbreaking; Innovative; Unique; Original; Newfangled; Fashionable; Creative; Classic} \\ \cline{2-3}
2 & Harmonious and Ordered & \multirow{2}{*}{Rational; Ordered; Sequential; Rigid; Uniform; Balanced; Mechanical; Harmonious} \\ \cline{2-3}
3 & Premium and Technical & \multirow{2}{*}{Convenient; Durable; Solid; Quality; Technical} \\ \cline{2-3}
4 & Superior and Valuable & Superior; Future; Valuable; Fascinating Premium \\ \hline
5 & Simple and Pure & \multirow{2}{*}{Concise; Simple} \\ \cline{2-3} \end{tabular}
\end{table} 
Table 9: Factor renaming list.