新疆师范大学学报（自然科学版）2025，Vol.44Issue(3)：1-10,10.
加权概率区间值直觉犹豫模糊集多属性群决策方法及应用
Weighted Probabilistic Interval Valued Intuitionistic Hesitant Fuzzy Sets Multi-attribute Group Decision Making Method and Its Application
摘要
Abstract
In order to store more decision information in Probabilistic Interval Valued Intuitionistic Hesitant Fuzzy Sets(PIVIHFS)and deal with decision problems more scientifically,a Weighted Probabilistic Interval Valued Intuitionistic Hesitant Fuzzy Set(WPIVIHFS)is defined by assigning decision expert weight to each Probabilistic Interval Valued Intuitionistic Hesitant Fuzzy Set number in PIVIHFS.The weighted score function model and the weighted precision function model of Weighted Probabilistic Interval Valued Intuitionistic Hesitant Fuzzy Element(WPIVIHFE)and the size comparison rules of two WPIVIHFE are established.The Weighted Probabilistic Interval Valued Intuitionistic Hesitant Fuzzy Ordered Weighted Average(WPIVIHFOWA)operator,Weighted Probabilistic Interval Valued Intuitionistic Hesitant Fuzzy Ordered Weighted Geometry(WPIVIHFOWG)operator and Weighted Probabilistic Interval Valued Intuitionistic Hesitant Fuzzy Weighted Maclaruin Symmetric Average(WPIVIHFWMSM)operator models are established.At the same time,the expression form and properties of WPIVIHFWMSM operator are studied.Based on the above three operators,a set of decision method is constructed,and the rationality of WPIVIHFS theory and the feasibility of the decision method are verified by numerical examples.关键词
加权概率区间值直觉犹豫模糊集/WPIVIHFWMSM算子/加权得分函数/加权精确函数Key words
Weighted Probabilistic Interval Valued Intuitionistic Hesitant Fuzzy Set/WPIVIHFWMSM operator/Weighted score function/Weighted exact function分类
数学引用本文复制引用
朱国成,何惠娟,陈翠盈..加权概率区间值直觉犹豫模糊集多属性群决策方法及应用[J].新疆师范大学学报（自然科学版）,2025,44(3):1-10,10.基金项目
广东省普通高校特色创新类项目(2024KTSCX403 （）
2023KTSCX414) （）
广东创新科技职业学院特色创新类重点项目(2023TSZD05 （）
2025TSZD02) （）
广东创新科技职业学院教育教学改革研究与实践重点项目(JGZD202302). （JGZD202302）
