浙江大学学报（理学版）2026，Vol.53Issue(4)：423-436,14.DOI:10.3785/1008-9497.25167
加权概率q阶犹豫模糊集及其决策应用
Weighted probabilistic q-rung hesitant fuzzy sets and their application to decision-making
摘要
Abstract
By assigning weights to the membership degree and non-membership degree in a probabilistic q-rung hesitant fuzzy set simultaneously for decision experts,a weighted probabilitic q-rung hesitant fuzzy set is constructed.The operation rules of union,intersection,complement,remainder and scalar multiplication of the q-rung hesitant fuzzy sets with weighted probability are given,and their basic properties are studied at the same time.The weighted score function model of the weighted probabilistic q-rung hesitant fuzzy set,the weighted exact function model,and the distance models of two weighted probabilistic q-rung hesitant fuzzy elements are established.Based on the algorithm of weighted probabilistic q-rung hesitant fuzzy sets,two multi-attribute group decision-making models of weighted probabilistic q-rung hesitant fuzzy sets are constructed,and the feasibility of the above two models is verified through practical cases.关键词
概率q阶犹豫模糊集/加权概率q阶犹豫模糊集/加权概率q阶犹豫模糊元/群决策Key words
probabilistic q-rung hesitant fuzzy set/weighted probabilistic q-rung hesitant fuzzy set/weighted probabilistic q-rung hesitant fuzzy element/group decision-making分类
数理科学引用本文复制引用
朱国成,程金烈,方顺适,李亚丽..加权概率q阶犹豫模糊集及其决策应用[J].浙江大学学报（理学版）,2026,53(4):423-436,14.基金项目
广东省普通高校特色创新类科研项目(2024KTSCX403) （2024KTSCX403）
广东创新科技职业学院特色创新类重点项目(2025TSZD02) （2025TSZD02）
广东省职业技术教育学会规划课题(202509G048) （202509G048）
广东创新科技职业学院产教融合专项研究课题(CJRHZD202504) （CJRHZD202504）
广东创新科技职业学院科研团队项目(2026KYTD02). （2026KYTD02）
