基于不完全直觉模糊信息的双边匹配决策方法  

Decision Method for Two-Sided Matching Based on the Incomplete Intuitionistic Fuzzy Information

作　　者：赵培臣 乐琦 胡文 ZHAO Peichen;YUE Qi;HU Wen(School of Mathematics and Statistics,Heze University,Heze 274015;School of Management,Shanghai University of Engineering Science,Shanghai 201620;School of Information Management,Jiangci University of Finance and Economics,Nanchang 330013)

机构地区：[1]菏泽学院数学与统计学院,菏泽274015 [2]上海工程技术大学管理学院,上海201620 [3]江西财经大学信息管理学院,南昌330013

出　　处：《系统科学与数学》2025年第1期297-310,共14页Journal of Systems Science and Mathematical Sciences

基　　金：国家自然科学基金项目(72371153,71861015);教育部人文社会科学基金项目(18YJA630047)资助课题。

摘　　要：针对匹配主体评价信息不完全的情形,给出一种不完全直觉模糊双边匹配决策方法.首先,在直觉模糊数和双边匹配概念的基础上,对不完全直觉模糊信息的双边匹配问题进行了描述.其次,利用Borda分值函数将匹配双方不完全直觉模糊数矩阵转化成不完全分值矩阵,接着通过优化模型的解的存在性探讨了完全双边匹配的存在性.然后,在完全双边匹配存在情形下,利用完全分值矩阵构建双边匹配模型,并给出基于不完全直觉模糊信息的双边匹配问题求解算法,通过该算法获得完全双边匹配方案.最后,采用一个具体实例验证了该方法的可行性与有效性.According to the incomplete evaluation information of the matching sub-ject,this paper presents an incomplete intuitionistic fuzzy two-sided matching decision-making method.Firstly,based on the concepts of intuitionistic fuzzy set and two-sided matching,the two-sided matching problem of incomplete intuitionistic fuzzy information is described.Secondly,the incomplete intuitionistic fuzzy set matrices of matching subjects are transformed into incomplete score matrix by Borda score function,and then the existence of complete two-sided matching is discussed by the existence of the solution of the optimization model.Then,in the case of the existence of complete two-sided matching,the two-sided matching model is constructed by us-ing the complete score matrix,and the algorithm based on incomplete intuitionistic fuzzy information is given,through which the complete two-sided matching scheme is obtained.Finally,a specific example is used to verify the feasibility and effectiveness of the method.

关 键 词：双边匹配 不完全直觉模糊信息 Borda分值 优化模型 

分 类 号：O225[理学—运筹学与控制论] O159[理学—数学]