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浙江大学学报（理学版）
浙江大学学报（理学版）  2017, Vol. 44 Issue (6): 735-741    DOI: 10.3785/j.issn.1008-9497.2017.06.013
管理科学     
得分信息下考虑多种形式主体期望的双边匹配方法
张笛, 孙涛, 闫超栋, 万良琪, 陈洪转
南京航空航天大学 经济与管理学院, 江苏 南京 211106
Method for two-sided matching considering multi-style aspiration of agents based on score information
ZHANG Di, SUN Tao, YAN Chaodong, WAN Liangqi, CHEN Hongzhuan
College of Economics and Management, Nanjing University of Aeronautics & Astronautics, Nanjing 211106, China
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摘要： 针对得分信息下带有多种形式主体期望的双边匹配问题，考虑主体的心理行为因素，提出了一种基于前景理论的双边匹配方法.首先，以主体期望为参照点将双边主体给出的得分信息转化为相对于参照点的收益和损失；然后，考虑主体对待收益和损失不同的风险态度，依据前景理论计算每个主体的前景值，在此基础上，建立双边匹配多目标优化模型，使用极大极小法求解该模型，获得双边匹配方案；最后，通过一个算例验证了该方法的可行性和有效性.
关键词： 双边匹配;  得分信息;  多种形式期望;  心理行为;  前景理论    
Abstract: Considering psychological behavior of agents, a method is proposed based on prospect theory to solve the two-sided matching problems with multi-style aspiration of agents under the score information. Firstly, the aspiration of agents is chosen as the reference point, then score information of agents on both sides are transformed into the gains or losses relative to the reference point. Secondly, considering the agents' different risk attitudes toward gains and losses, the prospect values of each agents are calculated based on prospect theory. Furthermore, a multi-objective optimization two-sided matching model is constructed. The maxmin method is proposed to solve this model, and the two-sided matching result can be obtained. Finally, an example is given to prove the feasibility and validity of the proposed method.
Key words: two-sided matching    score information    multi-style aspiration    psychological behavior    prospect theory
收稿日期: 2017-03-01 出版日期: 2018-04-09
CLC:  C934  
基金资助: 国家自然科学基金资助项目（71372080，71471087）；国家社会科学基金资助项目（15BGL056）；山东省社会科学规划研究项目（16CJJJ15）.
作者简介: 张笛(1987-),ORCID:http://orcid.org/0000-0002-0041-3521,男,博士研究生,主要从事管理决策分析和供应链管理研究,E-mail:bengbuzhangdi@163.com.
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引用本文:

张笛, 孙涛, 闫超栋, 万良琪, 陈洪转. 得分信息下考虑多种形式主体期望的双边匹配方法[J]. 浙江大学学报（理学版）, 2017, 44(6): 735-741.

ZHANG Di, SUN Tao, YAN Chaodong, WAN Liangqi, CHEN Hongzhuan. Method for two-sided matching considering multi-style aspiration of agents based on score information. Journal of ZheJIang University(Science Edition), 2017, 44(6): 735-741.

链接本文:

https://www.zjujournals.com/sci/CN/10.3785/j.issn.1008-9497.2017.06.013    或    https://www.zjujournals.com/sci/CN/Y2017/V44/I6/735

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