Abstract: This paper investigates the two-sided matching problem based on intuitive fuzzy sets information from the perspective of matching aspiration. Firstly, the concepts of intuitive fuzzy set and two-sided matching are given. Then, the intuitive fuzzy two-sided matching problem considering matching aspiration is described. In order to solve this problem, the intuitive fuzzy set matrixes are transformed into score matrixes. To maximize the score of each agent, a two-sided matching model under the constraint conditions of one-to-one two-sided matching is developed. Moreover, the matching aspiration matrix can be calculated based on score matrixes. The two-sided matching model is converted into a single-objective two-sided matching model according to the matching aspiration matrix. The “optimization” two-sided matching can be obtained by solving the model. Lastly, the feasibility and effectiveness of the proposed two-sided matching decision are illustrated with an example of person-post matching.

Key words: two-sided matching, intuitive fuzzy set, matching aspiration, two-sided matching model

摘要： 本文从匹配意愿的视角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的概念;接着描述了考虑匹配意愿的直觉模糊双边匹配问题。为求解该问题,先将直觉模糊集矩阵转化为得分矩阵。以每个主体得分最大为目标,在一对一双边匹配约束条件下,建立了双边匹配模型。依据得分矩阵,计算匹配意愿矩阵;依据匹配意愿矩阵,将双边匹配模型转化为单目标优化模型;通过求解该模型获得“最佳”双边匹配。最后,通过一个人岗匹配实例说明了所提双边匹配决策的可行性和有效性。

关键词: 双边匹配, 直觉模糊集, 匹配意愿, 双边匹配模型