郑州大学学报（理学版）2025，Vol.57Issue(3)：49-56,8.DOI:10.13705/j.issn.1671-6841.2023187
基于几何平均犹豫度的概率犹豫模糊多属性决策方法
Probabilistic Hesitant Fuzzy Multi-attribute Decision-making Method Based on Geometric Mean Hesitant Degree
摘要
Abstract
A probabilistic hesitant fuzzy multi-attribute decision making method based on geometric mean hesitancy degree was proposed,which could solve the problem of probabilistic hesitant fuzzy multi-attrib-ute decision making with completely unknown attribute weights.Firstly,in response to the differences in membership degrees between elements and the varying number of elements in probabilistic hesitant fuzzy element,the geometric mean hesitant degree of probabilistic hesitant fuzzy element was defined.Second-ly,based on the traditional distance measure of probabilistic hesitant fuzzy elements,the distance meas-ure of probabilistic hesitant fuzzy elements based on geometric mean hesitant degree was proposed.Fur-ther,the probabilistic hesitant fuzzy element entropy measure was constructed based on the distance measure proposed,and the entropy weight method was combined to determine the attribute weight.Final-ly,the corresponding multi-attribute decision model was given in combination with TOPSIS method.The feasibility and practicability of the proposed method were verified by a specific case and sensitivity analy-sis of the corresponding parameters.关键词
概率犹豫模糊元/多属性决策/距离测度/犹豫度/属性权重Key words
probabilistic hesitant fuzzy element/multi-attribute decision making/distance measure/hesitant degree/attribute weight分类
计算机与自动化引用本文复制引用
张艳娜,张丽霞,王拥兵..基于几何平均犹豫度的概率犹豫模糊多属性决策方法[J].郑州大学学报（理学版）,2025,57(3):49-56,8.基金项目
国家自然科学基金项目(11975025) （11975025）
安徽省高校自然科学研究重点项目(2022AH051053) （2022AH051053）
