安庆师范大学学报（自然科学版）2026，Vol.32Issue(2)：10-16,7.DOI:10.13757/j.cnki.cn34-1328/n.2026.02.002
犹豫模糊集的混合相关系数及其应用
Mixed Correlation Coefficient of Hesitant Fuzzy Sets and Its Application
摘要
Abstract
To address the limitations of existing correlation coefficients for hesitant fuzzy sets in terms of information measurement,this paper proposes a hybrid correlation coefficient for hesitant fuzzy sets.To accurately quantify the degree of uncertainty in the decision-making process while accounting for the dispersion of membership degrees and the difference in el-ement cardinality,an improved hesitancy degree measure for hesitant fuzzy elements is constructed,and its effectiveness is verified through an illustrative example.On this basis,a correlation coefficient based on the improved hesitancy degree is de-fined.Furthermore,considering that traditional methods struggle to simultaneously capture the dual differences in the mean membership degrees and hesitancy degree between two hesitant fuzzy sets,a hybrid correlation coefficient for hesitant fuzzy sets is proposed.Finally,the proposed coefficient is applied to a medical diagnosis example.A comparative analysis with exist-ing methods demonstrates the feasibility and rationality of the proposed approach in characterizing complex decision-making information.关键词
犹豫模糊集/犹豫模糊元/犹豫度/相关系数/医疗诊断Key words
hesitant fuzzy sets/hesitant fuzzy element/hesitancy degree/correlation coefficient/medical diagnosis分类
数理科学引用本文复制引用
程呈,张艳娜,王拥兵..犹豫模糊集的混合相关系数及其应用[J].安庆师范大学学报（自然科学版）,2026,32(2):10-16,7.基金项目
安徽省高等学校自然科学研究重点项目(2022AH051053) （2022AH051053）
