# Deep Learning-Based Imagery Style Evaluation for Cross-Category Industrial Product Forms
## 3 Constructing NTTSSD Paradigms for Imagery Style of Industrial Product Forms
### Quantifying the Imagery Style of Industrial Product Forms Based on Kansei Engineering
#### 3.1.1 Acquisition of Cross-Category Industrial Product Forms
The values of imagery style words \(a_{xy}\) were scaled to a range of 0 to 1 based on the 5-point Likert scale, as shown in Table 3:  
Finally, this paper uses the TOPSIS method [69; 70] to calculate comprehensive evaluation scores for imagery style words associated with a specific product form. The vocabulary with a score closest to the positive ideal solution was then selected as the representative word for each category of morphology style. The expression is as follows:  
Let the set of experts be E = {e\({}_{1}\), e\({}_{2}\), e\({}_{3}\),..., e\({}_{n}\)}, where \(i\) = 1,2,3,..., \(n\). The set of imagery style words to be evaluated is S = {s\({}_{1}\), s\({}_{2}\), s\({}_{3}\),..., s\({}_{n}\)}, where \(j\) = 1,2,3,..., \(m\). The m similar imagery style words are rated by n experts based on the u type of product form, which creates a similarity evaluation matrix:  
\[A^{u}= \begin{bmatrix}a_{11}^{u}&a_{12}^{u}&\ldots&a_{1n}^{u}\\ \vdots&\ddots&\vdots\\ a_{m1}^{u}&a_{m2}^{u}&\ldots&a_{nm}^{u}\end{bmatrix}  \tag{1}\]  
\[(i\text{ = 1,2, 3,..., }n;j\text{ = 1, 2, 3,..., }m)\]  
Because the expert scoring in this paper uses a 5-point Likert scale ranging from 0 to 1, the positive ideal solution is defined as 1 and the negative ideal solution is 0. For the j imagery style word, the distances to the positive and negative ideal solutions are \(D_{j}^{u+}\) and \(D_{j}^{u-}\), which are calculated using the Euclidean Distance:  
\[D_{j}^{u+}=\sqrt{\sum_{i=1}^{n}\left(a_{ij}^{u}-1\right)^{2}}\quad(j\text{ = 1,2,3,.........}m) \tag{2}\]  
\[D_{j}^{u-}=\sqrt{\sum_{i=1}^{n}\left(a_{ij}^{u}\right)^{2}}\quad(j\text{ = 1,2,3,.........}m) \tag{3}\] \begin{table}
\begin{tabular}{c c c c c c c} \hline \hline
**Serial** & **Imagery** & **Serial** & **Imagery** & **Serial** & **Imagery** & **Serial** & **Imagery** \\
**Number** & **Style Words** & **Number** & **Style Words** & **Number** & **Style Words** & **Number** & **Style Words** \\ \hline
11 & Daring & 36 & Swanking & 61 & Natural & 86 & Comfortable \\
12 & Organic & 37 & Kingly & 62 & Rational & 87 & High-grade \\
13 & Ornate & 38 & Exquisite & 63 & Amiable & 88 & Rustic \\
14 & Gliding & 39 & Conservative & 64 & Sedate & 89 & Classical \\
15 & Steady & 40 & Coordinating & 65 & Laconic & 90 & Unified \\
16 & Nostalgic & 41 & Technological & 66 & Sincere & 91 & Romantic \\
17 & Simple & 42 & Plain & 67 & Staid & 92 & Dynamic \\
18 & Rational & 43 & Tenuous & 68 & Friendly & 93 & Stately \\
19 & Quiet & 44 & Lively & 69 & Slant & 94 & Formal \\
20 & Cute & 45 & Vivid & 70 & Tough & 95 & Unbending \\
21 & Sportive & 46 & Sharp & 71 & Stocky & 96 & Heavy \\
22 & Streamline & 47 & Reliable & 72 & Future & 97 & Demure \\
23 & Hard & 48 & Particular & 73 & Rounded & 98 & Fashion \\
24 & Solid & 49 & Elegant & 74 & Pure & 99 & Bionic \\
25 & Peculiar & 50 & Brisk & 75 & Genial & 100 & Speed \\ \hline \hline \end{tabular}
\end{table} 
Table 2: _Cont._ \begin{table}
\begin{tabular}{c c c c c} \hline \hline
**Degree of Relevance** & **Irrelevant** & **Slightly Related** & **Relevant** & **Very Relevant** & **Strong Relevant** \\ \hline \(a_{xy}\) & 0 & 0.2 & 0.5 & 0.8 & 1 \\ \hline \hline \end{tabular}
\end{table} 
Table 3: 5-point Likert scale range. The composite evaluation score \(C_{j}^{u}\) for each imagery style word was calculated as follows:  
\[C_{j}^{u}=\frac{D_{j}^{u-}}{\left(D_{j}^{u+}+D_{j}^{u-}\right)}\ \ \left(0\leq C_{j}^{u}\leq 1,\ j=1,2, \ldots\ldots.m\right) \tag{4}\]  
where \(C_{j}^{u}\) represents the comprehensive evaluation score given by experts for the j imagery style word of the u type of industrial product form. According to the above expression, six experts were invited to score 100 imagery style words for six categories product forms on a 5-point Likert scale. After calculating comprehensive scores, the 100 words were ranked according to their proximity to the positive ideal solution. As shown in Table 4, the key imagery style words for six types of automobiles were quantitatively ranked using TOPSIS.