Abstract: A decision making method for two-sided matching is proposed to solve two-sided matching problem under linguistic preference information. Firstly, the linguistic preference information provided by agent on both sides is transformed into triangular fuzzy numbers. Secondly, the triangular fuzzy numbers are transformed into matching satisfaction degree by the defuzzification method. Furthermore, for maximizing matching satisfaction degree of each agent, a multiple objective optimization two-sided matching model is constructed considering the stable matching constraint conditions, and the two-sided matching result can be obtained by solving the model. Finally, an example is given to prove the feasibility and validity of the proposed method.

Key words: two-sided matching, linguistic preference, matching satisfaction degree, stable matching

摘要： 针对语言偏好信息下的双边匹配问题,提出一种双边匹配决策方法。首先,将双边主体给出的语言偏好信息转化为三角模糊数;然后,基于去模糊化处理方法将三角模糊数转化为匹配满意度,在此基础上,考虑稳定匹配约束条件,以最大化每方主体的匹配满意度为目标,建立双边匹配多目标优化模型,求解模型,获得双边匹配结果;最后,通过一个算例验证了提出方法的可行性和有效性。

关键词: 双边匹配, 语言偏好, 匹配满意度, 稳定匹配