一种组合赋权的灰色聚类综合模型及其实证研究

A Comprehensive Grey Clustering Model with Combination Weighting and Its Empirical Study

为减少主观因素的影响,避免权重失真,充分发挥主客观赋权法的优势,提出一种基于梯形模糊层级分析法和修正熵法耦合的赋权方法。针对地方高校《统计学》课程线上教学质量评价这一外延明确但内涵不明确的问题,运用灰色聚类综合评价法构建评价模型,同时将模型运用于M地方高校某教师《统计学》线上课程教学质量评价中,得到该教师线上教学质量的综合评价结果等次为“二级”,并与实际检查结果进行比较,最后给出了相关建议。

In order to reduce the influence of subjective factors,avoid weight distortion,and fully leverage the advantages of subjective and objective weighting methods,this paper proposes a weighting method based on the coupling of trapezoidal fuzzy hierarchical analysis and modified entropy method.Then,combined with the grey correlation method,a grey clustering comprehensive evaluation model based on combination weighting is constructed.At the same time,the model was applied to the evaluation of the online teaching quality of"Statistics"for a certain teacher in M local university,and the comprehensive evaluation result of the teacher's online teaching quality was obtained as a"second level"level.The results were compared with the actual situation,indicating that the model has certain effectiveness.