研究了基于直觉模糊集信息的双边匹配问题。首先给出了直觉模糊集和双边匹配相关理论;接着描述了基于直觉模糊集信息的双边匹配问题;以每个主体满意程度最大为目标,考虑到一对一双边匹配约束条件,建立了多目标双边匹配模型;运用线性加权法将多目标双边匹配模型转化为单目标双边匹配模型;进而通过求解该模型获得“最佳”双边匹配。最后,供需匹配实例分析说明了所提方法的有效性。
This paper investigates the two-sided matching problem based on intuitionistic fuzzy set information.Firstly,the theories of intuitionistic fuzzy set and two-sided matching are given.Secondly, the two-sided matching problem based on intuitionistic fuzzy set is described. To maximize the satis-faction degree of each agent, a multi-objective two-sided matching model considering the constraint conditions of one-to-one two-sided matching is developed.The multi-bjective two-sided matching model is transformed into a single-objective two-sided matching model by using the simple weighted method. Then the "optimization" two-sided matching can be obtained by solving the model. Lastly, an instance analysis of supply-demand matching shows the effectiveness of the proposed method.