计算机工程与科学2024，Vol.46Issue(6)：1101-1111,11.DOI:10.3969/j.issn.1007-130X.2024.06.017
基于新图模糊距离的EDAS决策方法及其应用
An EDAS decision making method and its application based on a novel picture fuzzy distance
摘要
Abstract
For multi-attribute decision-making problems with decision information as picture fuzzy,this paper firstly defines the assignment of the degree of refusal membership with parameters based on the limitations of existing picture fuzzy distances.It also proposes a picture fuzzy distance that reflects decision-makers'risk preferences by combining consistency concepts.Through a numerical example,the new picture fuzzy distance is compared and analyzed with existing picture fuzzy distances to verify its superiority.Secondly,for attribute weights,this paper adopts the combination weighting method of game theory to combine the objective weights determined by entropy weighting with the subjective weights given by decision-makers.On this basis,the new picture fuzzy distance is extended to evalua-tion based on distance from average solution(EDAS)method,and the weighted sum of positive and negative distances between each scheme and the average scheme is calculated using the new distance,re-sulting in comprehensive scores.Finally,numerical examples are used to verify the applicability and ef-fectiveness of the proposed decision-making method.Sensitivity and comparative analysis results show that decision-makers can adjust the parameter values according to their risk preferences to meet different decision-making needs.The method is more general and flexible compared to other existing decision-making methods,and the ranking results are more reasonable.关键词
图模糊集/图模糊距离/博弈论组合赋权法/EDAS方法/多属性决策Key words
picture fuzzy set/picture fuzzy distance/combination weighting method of game theory/evaluation based on distance from average solution(EDAS)method/multi-attribute decision making分类
信息技术与安全科学引用本文复制引用
王磊,柳然然..基于新图模糊距离的EDAS决策方法及其应用[J].计算机工程与科学,2024,46(6):1101-1111,11.基金项目
教育部研究规划基金(21YJCZH204) （21YJCZH204）
辽宁省教育厅科学研究经费项目(LJ2019QL014,LJ2020JCL018) （LJ2019QL014,LJ2020JCL018）
