A Multi-Attribute Two-Sided Matching Decision-Making Method Based on Improved TODIM and Picture Fuzzy Preference Information
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 ratio-nality 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 optimiza-tion 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.