考虑匹配稳定性的多属性双边匹配决策方法  

Method for multiple attribute two-sided matching decision making considering the stability of matching problem

作　　者：李铭洋[1] 李博[1] 曹萍萍[2] 霍春辉[1] LI Ming-yang1 , LI Bo1 , CAO Ping-ping1,2 , HUO Chun-hui1(1. Business School, Liaoning University, Shenyang 110136, China; 2. Department of Basic Teaching and Research, Criminal Investigation Police University of China, Shenyang 110854, Chin)

机构地区：[1]辽宁大学商学院,沈阳110136 [2]中国刑事警察学院基础教研部,沈阳110854

出　　处：《系统工程》2017年第11期153-158,共6页Systems Engineering

基　　金：教育部人文社会科学基金资助项目(14YJC630063);辽宁省社会科学基金资助项目(L16BGL022);沈阳市哲学社会科学专项资金规划课题(17055)

摘　　要：针对具有属性期望的多属性双边匹配问题,提出了一种考虑匹配稳定性的双边匹配决策方法。首先给出匹配稳定性的相关定义,并对具有属性期望的多属性双边匹配问题进行描述;其次,根据双方主体针对各属性的属性期望和属性真实值,构建双方主体的损益矩阵;然后,依据行为决策理论中的失望理论,将双方主体的损益矩阵转化为感知效用矩阵;进一步地,依据主体间感知效用的大小,确定主体间的偏好排序,据此构建稳定匹配线性约束条件,并在此约束条件下以双方主体感知效用最大化为目标建立多目标优化模型,最后通过模型求解获得稳定的双边匹配结果。A decision method is proposed to solve the two-sided matching problems considering the stability of matching problem in which the multiple attribute two-sided matching decision making problems have the expectation value of the attribute.Firstly,the definition of matching stability is given,and the mathematic description of the multiple attribute two-sided matching problem with attribute aspirations is given.Secondly,the loss or profit matrices on both sides are constructed based on the attribute expectation and the attribute real value.Then,the perception utility matrices are constructed by turning the loss and profit matrices according to disappointment theory.Further,based on the both sides perception utility value the preference ordering can be confirmed.According to this,the stable matching condition can be given and based on this the multi-objective optimization two-sided matching model is developed for maximizing the sum of perception utilities of agents on each side,and the optimal two-sided matching result can be obtained by solving the model.

关 键 词：多属性双边匹配 稳定匹配 失望理论 优化模型 

分 类 号：C934[经济管理—管理学]