摘要
针对图片模糊偏好信息下的双边匹配问题,考虑匹配主体有限理性行为与匹配属性的不完全性,提出基于改进TODIM的图片模糊双边稳定匹配决策方法.首先,文章定义了基于欧氏距离与反余弦的图片模糊数混合距离测度,避免了单一距离测度带来的缺陷,并提高了图片模糊数之间的区分度.其次,文章考虑了匹配属性信息的不完全性,并结合混合距离与最大偏差法构建优化模型,从而确定各匹配主体的属性权重信息.再次,鉴于匹配主体在决策过程中的有限理性行为,本文结合基于混合图片模糊距离的TODIM方法构建稳定的双边匹配决策优化模型.最后,以在线医疗平台医患双边匹配问题为案例背景,利用所提方法获得了稳定的双边匹配方案,并通过不同角度的对比分析和灵敏度分析进一步验证了方法的有效性和稳定性.
For the two-sided matching problem with the picture fuzzy preference information,the picture fuzzy two-sided stable matching decision-making approach based on the improved TODIM method is proposed considering the bounded rationality of matches and the incompleteness of the matching criteria.First,this paper defines a mixed picture fuzzy distance measure based on Euclidean distance and arc cosine,which can avoid the defects caused by a single distance measure and improve the discrimination between two picture fuzzy numbers.Second,this paper considers the incompleteness of matching attribute information,and constructs the optimization model by combining the proposed mixed distance and maximum deviation method to determine the attribute weight information of each matching subject.Third,from the bounded rationality behavior of matching subjects in the decision-making process,this paper constructs a stability-based two-sided matching decision-making optimization model by using the improved TODIM method based on the picture fuzzy mixed distance.Finally,based on the doctor-patient two-sided matching problem on the online medical platform as the case study,the stable two-sided matching scheme is obtained by using the proposed method.The effectiveness and stability of the method are further verified through comparative analysis and sensitivity analysis in different scenarios.
作者
彭娟娟
谭灏
隆清琦
陈辛格
PENG Juanjuan;TAN Hao;LONG Qingqi;CHEN Xinge(School of Management,Zhejiang University of Financeand Economics,Hangzhou 310018)
出处
《系统科学与数学》
CSCD
北大核心
2024年第8期2384-2411,共28页
Journal of Systems Science and Mathematical Sciences
基金
国家社会科学基金项目(22BGL249)资助课题。
关键词
双边匹配决策
图片模糊数
混合图片模糊距离
TODIM
最大偏差法
Two-sided matching decision-making
picture fuzzy numbers
mixed picture fuzzy distance measure
TODIM
the maximum deviation method
