Abstract: A two-sided matching method considering regret aversion psychological behavior and matching aspiration of the agents is proposed to solve two-sided matching problems with intuitionisticfuzzy preference information. Firstly,intuitionistic fuzzy preference information provided by agents on both sides is transformed into utility values. Secondly, the regret valuesand rejoice values of each agent in match are calculated through pairwise comparisons of another side agent using the idea of regret theory.Furthermore, the comprehensive regret-rejoice values of eachagent are calculated, and the calculating rules of matching satisfaction degree are built. A multiple objective optimization two-sided matching model is constructed. By analyzing the insufficiency of thepresent approach to determining coemcientof matching aspiration, a new approach to determining coemcient of matching aspiration is given. Then linear weight sum method is used to convert the multiple objective optimization model into a single objective programming model considering matching aspiration of the agents on both sides, and the two-sidedmatching results 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, intuitionistic fuzzy preference, regret aversion, matching aspiration

摘要： 针对直觉模糊偏好信息的双边匹配问题,提出一种考虑匹配主体后悔规避心理行为和匹配意愿的双边匹配方法。首先,将双边主体的直觉模糊偏好信息转化为效用值;然后,依据后悔理论的思想,通过一方主体将另一方主体进行两两比较计算每个主体的后悔值和欣喜值,进而计算每个主体的总体后悔欣喜值,构建匹配满意度计算规则,建立双边匹配多目标优化模型,通过分析现有匹配意愿系数确定方法的不足,给出一种新的匹配意愿系数确定方法,在此基础上,考虑双边主体的匹配意愿,采用线性加权法将多目标优化模型转化为单目标规划模型进行求解,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, 直觉模糊偏好, 后悔规避, 匹配意愿