具有不确定偏好序信息的双边匹配决策问题研究  

Study on Two-sided Matching Decision-making Problems with Uncertain Preference Ordinal Information

作　　者：乐琦[1,2] 樊治平[1] 

机构地区：[1]东北大学工商管理学院,辽宁沈阳110819 [2]江西财经大学信息管理学院,江西南昌330013

出　　处：《运筹与管理》2012年第1期57-63,共7页Operations Research and Management Science

基　　金：国家自然科学基金创新群体资助项目(70721001);国家自然科学基金资助项目(90924016);中央高校基本科研业务费专项资金资助项目(N090606001)

摘　　要：针对具有不确定偏好序信息的双边匹配决策问题,提出了一种决策方法。首先,给出了不确定偏好序和双边匹配决策问题的描述;接着,引入了满意度和支付的概念;在此基础上,考虑到匹配主体对之间的满意度要求及中介收益,构建了求解该双边匹配决策问题的多目标优化模型,采用基于隶属函数的加权和方法求解该模型获得双边匹配方案。最后,通过一个算例说明了该方法的可行性和有效性。A decision-making method is proposed to solve two-sided matching decision-making problems with uncertain preference ordinals.First,the description of uncertain preference ordinal and two-sided matching decision-making problem is given.Then,concepts of satisfaction degree and payment are introduced.Furthermore,considering the requirement of satisfaction degrees between matching body pairs and the agent income,a multi-objective optimization model to solve the two-sided matching decision-making problem is developed.To obtain matching alternative,the weighted sums method based on membership function is used to solve the optimization model.Finally,an illustrative example is given to explain the feasibility and validity of the proposed method.

关 键 词：管理科学 双边匹配 不确定偏好序 满意度 支付 多目标优化模型 

分 类 号：C931[经济管理—管理学]