浙江大学学报（理学版）2018，Vol.45Issue(2)：169-179,11.DOI:10.3785/j.issn.1008-9497.2018.02.007
考虑双方主体失望-欣喜感知的多指标双边匹配决策方法
A method of two-sided matching based on multiple criteria considering disappointment and elation of both sides
摘要
Abstract
In two-sided matching problems,the agents of both sides can experience disappointment and elation regarding the potential objects to be matched.Few studies have focused on this issue that how to describe the disappointment and elation of agents or how to introduce them into the two-sided matching models.By portraying the disappointment and elation of agents,a new two-sided matching method accounting for the criteria of aspiration is proposed.Firstly,the mathematic description of the two-sided matching problem based on multiple criteria with one criterion of aspiration is given.Secondly,the gain and loss matrices of both sides are constructed by intermediary or decider based on the deference between the expectation of one side and the truth of the opposite side. Then,the perception matrices for each criterion of both sides are constructed according to disappointment theory, and the integrated perception matrices of both sides are constructed by aggregating perception matrices for all criteria.Further,a two-sided matching model with multi-objective optimization is developed to maximize the sum of perception utilities of each side under the constraint that they are above the lowest acceptable level of the other side. This model can be converted into a single-objective optimization model,and the optimal two-sided matching result can be obtained by solving the model.Finally,through a numerical example,the differences between the proposed method and the existing method are illustrated,which demonstrates the validity and rationality of the proposed method.关键词
多指标双边匹配/失望-欣喜/感知效用/优化模型Key words
multiple criteria two-sided matching/disappointment and elation/perception utility/optimization model分类
管理科学引用本文复制引用
李铭洋,李博,曹萍萍,霍春辉..考虑双方主体失望-欣喜感知的多指标双边匹配决策方法[J].浙江大学学报（理学版）,2018,45(2):169-179,11.基金项目
国家自然科学基金资助项目(71503266) （71503266）
国家社会科学基金资助项目(13CGL045) （13CGL045）
教育部人文社会科学基金资助项目(14YJC630063) （14YJC630063）
辽宁省社会科学基金资助项目(L16BGL022) （L16BGL022）
辽宁省社科联2017年度辽宁经济社会发展立项课题(2017lslktyb-082) （2017lslktyb-082）
沈阳市重点科技研发计划项目(17-192-9-00). （17-192-9-00）
