## 5 Application
### Model Testing and Comparison  
#### 5.4.1 Effect Comparison  
To assess the efficacy of the gray H-convex correlation model utilizing the ICRITIC method, identical data preprocessing techniques were employed. The gray correlation [30], novel gray absolute correlation [33], and gray H-convex correlation [13] were chosen for comparative analysis with the approach outlined in this study. The statistical outcomes are delineated in Table 5. Owing to constraints in space, only the correlation findings between fixation duration and layout aesthetics are provided.  
In Table 5, the results from the three models, aside from the gray correlation model, generally demonstrate a consistent pattern, highlighting the strongest correlation between gaze duration and symmetry and dominance. This substantiates the effectiveness of the model proposed in this paper. However, there are notable discrepancies, as follows.  
1. The gray correlation model yields positive results even in cases of negative correlation between indicators, failing to align with the actual scenario, which is highly consistent with the findings of [PERSON] et al. [48].
2. The new gray absolute correlation model lacks stability in accurately reflecting positive and negative correlations among indicators, exemplified by a correlation coefficient of 0.0489 between fixation duration and order, still indicating a positive correlation. This conclusion corroborates the findings of [PERSON] et al. [48], demonstrating that the model lacks the capability to determine negative correlations between variables.
3. The original gray H-convex correlation model indicates that the highest negative correlation between fixation duration and dominance was 0.8546, followed by symmetry at 0.7016. This is consistent with the ranking outcomes of the enhanced gray H-convex correlation model.
4. In the improved model, the correlation between fixation duration and simplicity surpasses that of density, contrary to the results of the original gray H-convex correlation model. This discrepancy may stem from the improved model's integration of differential indicator characteristics and their impact on the system, thereby influencing the final outcome.  
Additionally, by employing the interface layout scheme as the \(X\)-axis, a line graph is constructed to illustrate the fluctuations in user visual cognitive attributes and layout aesthetics. As depicted in Figure 11, it is discernible that the line pattern of fixation duration closely resembles that of symmetry and dominance, exhibiting an inverse correlation. The fixation count aligns more closely with the folded graph shape of symmetry and dominance, also showcasing an inverse relationship, similar to the findings of other scholars [49]. Meanwhile, the mean pupil diameter bears the closest resemblance to the shape of symmetry and simplicity, demonstrating an inverse correlation. Conversely, gaze shift frequency exhibits the closest association with order and symmetry, indicating a positive correlation. Likewise, gaze time percentage closely corresponds to symmetry and dominance, with a positive correlation. [PERSON] et al. [50] found that gaze time percentage also affects pupil diameter. In summary, the line graphs depict outcomes congruent with the model calculations. Consequently, the enhanced model proves to be feasible and possesses considerable application value.