四川师范大学学报（自然科学版）2024，Vol.47Issue(2)：275-284,10.DOI:10.3969/j.issn.1001-8395.2024.02.015
加权概率犹豫模糊集多属性群决策算法及应用
Decision Algorithm for the Multi-Attribute Group of Weighted Probabilistic Hesitant Fuzzy Set and Its Application
摘要
Abstract
The weight for different membership degrees of the probabilistic hesitant fuzzy set is given to the decision expert,and a kind of probabilistic hesitant fuzzy set-weighted probabilistic hesitant fuzzy set,which contains more information and is more convenient to solve the decision problem,is constructed.Aiming at the weighted probabilistic hesitant fuzzy element in the weighted probabilistic hesitant fuzzy set,the three dimensional score value model,the three dimensional deviation model,the geometric distance model of two weighted probabilistic hesitant fuzzy elements and the size criterion are established using three dimensional point coordinates to describe the weighted probabilistic hesitant fuzzy element.A method to determine the positive ideal scheme and the negative ideal scheme is pro-posed based on the comprehensive weight of decision experts and the comprehensive weight of attributes.A new approximation formula is given based on TOPSIS idea,and the new approximation formula is used to identify the pros and cons of each scheme.Finally,a nu-merical example is given to illustrate the feasibility of the proposed theory and method.关键词
概率犹豫模糊集/加权概率犹豫模糊集/三维点坐标/综合权重/TOPSISKey words
probabilistic hesitant fuzzy set/weighted probabilistic hesitant fuzzy set/three dimensional point coordinate/compre-hensive weigh/TOPSIS分类
数学引用本文复制引用
朱国成..加权概率犹豫模糊集多属性群决策算法及应用[J].四川师范大学学报（自然科学版）,2024,47(2):275-284,10.基金项目
广东省普通高校特色创新类课题(2023KTSCX414)和广东省高等教育学会"十四五"规划2023年度高等教育研究课题(23GYB174) 广东创新科技职业学院特色创新类重点资助项目(2023TSZD05)对本文给予了资助,谨致谢意. （2023KTSCX414）
