Abstract: To identify the correlation between the aesthetic of human-machine interface layout and the user visual cognition characteristics,provide an objective basis for the optimal design of human-machine interface layout,a grey H-convex correlation model based on the combination of Best Worst Method (BWM) and Criteria Importance Though Intercrieria Correlation method (CRITIC) was proposed.The existing human-machine interface layout aesthetic and the user visual cognition of the factors were sorted out and summarized,and an evaluation index system of human-machine interface layout aesthetic was built.The subjective and objective weights of each evaluation index were determined by using Bayesian BWM and CRITIC method,and the comprehensive weights of each evaluation index was obtained by combining game theory.Based on the grey theory,a grey H-convex incidence model was constructed,which quantified the mapping between the aesthetic of human-machine interface layout and user visual cognitive.Finally,the proposed model was applied to the analysis of human-machine interface layout design scheme of Virtual Museum,which fully verified the validity of the model and its ability to judge the positive and negative correlation of the human-machine layout aesthetic index.

Key words: grey H-convex incidence degree, interface layout aesthetic, visual cognitive, Bayesian best worst method, criteria importance though intercrieria correlation method

摘要： 为明晰用户视觉认知特征与人机界面布局美度之间的相关性,并为人机界面布局的优化设计提供客观依据,提出一种基于贝叶斯最优最劣法（BWM）与相关性定权法（CRITIC）权重组合的灰色H-凸关联模型。首先,对现有影响用户视觉认知的人机界面布局美度影响指标进行梳理和归纳,构建人机界面布局美度的评价指标体系;其次,利用贝叶斯BWM与CRITIC方法分别确定各评价指标的主客观权重,并结合博弈论思想获取各评价指标的综合权重;再次,基于灰色理论构建组合赋权的灰色H-凸关联模型,量化用户视觉认知与人机界面布局美度之间的映射关系;最后将该模型应用于虚拟博物馆人机界面布局设计方案分析,验证了模型的有效性及其对人机布局美度指标正负关联性的判断能力。

关键词: 灰色H-凸关联度, 界面布局美度, 视觉认知, 贝叶斯BWM, CRITIC