运筹与管理2024，Vol.33Issue(3)：35-40,6.DOI:10.12005/orms.2024.0075
毕达哥拉斯模糊环境下基于TODIM的双边匹配决策方法
Two-sided Matching Decision Method Based on TODIM in the Pythagorean Fuzzy Environment
摘要
Abstract
There are various types of two-sided matching problems in people's social work and economic life.With the continuous development of two-sided matching theory and the deepening of research on two-sided matching methods,in the actual two-sided matching decision-making process,decision-makers are easily affected by their own cognitive limitations and the complex external environment,resulting in an increase in the ambiguity and uncertainty of their preference information expression.In addition,in the decision-making process,decision-makers often rely on intuitive judgments and lack sufficiently rational decision-making habits,which are often reflected in the final matching results.In response to this decision-making situation,this article proposes a two-sided matching decision-making method that targets multiple decision-making psychology of decision-makers. First,the two-sided matching problem based on Pythagorean fuzzy information is elaborated to depict the complex decision-making environment faced by decision-makers in the decision-making process as much as possible and avoid data loss and distortion in the evaluation information collection process.Second,based on the TODIM(Tomada de Decisao Interativa Multicritério)idea,the overall dominance of two-sided subjects compared with the matching subjects on the other side is obtained,and then a two-sided matching satisfaction matrix is constructed.Then,considering the one-to-one quantity matching constraint of two-sided subjects,a multi-objective two-sided matching decision model is established to maximize the satisfaction of two-sided subjects.Finally,it is further transformed into a single objective two-sided matching model by the linear weighting method,and the optimal two-sided matching scheme is obtained by model solution.The feasibility and effectiveness of the proposed method is verified through a transaction matching example in actual supply chain management system software. The research results indicate that in the complex decision-making environment,the method proposed in this paper takes into account the psychological behaviors of reference dependence and loss avoidance that may occur in the decision-making process of matching subjects,as well as the hesitation information of the Pythagorean fuzzy set,and therefore,it is more feasible to solve two-sided matching problems in the Pythagorean fuzzy environment.This study enriches the application of Pythagorean fuzzy sets in the field of two-sided matching decision-making,but further exploration is needed to explore psychological behaviors of subjects such as regret and disappointment behaviors that may occur,as well as the two-sided matching decision-making methods under various forms of preference information expression.关键词
双边匹配/毕达哥拉斯模糊数/TODIM/满意度/双边匹配模型Key words
two-sided matching/Pythagorean fuzzy number/TODIM/satisfaction/two-sided matching model分类
管理科学引用本文复制引用
胡文,乐琦..毕达哥拉斯模糊环境下基于TODIM的双边匹配决策方法[J].运筹与管理,2024,33(3):35-40,6.基金项目
国家自然科学基金资助项目(71861015) （71861015）
教育部人文社会科学基金项目(18YJA630047) （18YJA630047）
江西省杰出青年基金项目(20192BCBL23008) （20192BCBL23008）
