引用本文:张笛,孙涛,耿成轩,等.基于TODIM的直觉模糊双边公平满意匹配方法[J].控制与决策,2019,34(6):1338-1344
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基于TODIM的直觉模糊双边公平满意匹配方法
张笛,孙涛,耿成轩,万良琪,陈洪转
(南京航空航天大学经济与管理学院,南京211106)
摘要:
针对直觉模糊偏好信息下的双边匹配问题,考虑匹配主体参照依赖和损失规避的心理行为,提出一种基于TODIM(TOmada de decis\ao interativa multicritério)的双边公平满意匹配方法.首先,对直觉模糊偏好信息下的双边匹配问题进行描述;然后,依据前景理论将双边主体的直觉模糊偏好信息转化为相对于参照点的收益或损失,在此基础上,依据TODIM法计算每个主体的总体优势度,构建满意度计算规则,建立双边公平满意匹配优化模型,求解模型并获得双边匹配解;最后,通过一个算例验证所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  公平匹配  满意匹配  TODIM法
DOI:10.13195/j.kzyjc.2017.1596
分类号:C934
基金项目:国家自然科学基金项目(71573115);国家社会科学基金项目(15BGL056).
Method for intuitionistic fuzzy two-sided fair and satisfied matching based on TODIM
ZHANG Di,SUN Tao,GENG Cheng-xuan,WAN Liang-qi,CHEN Hong-zhuan
(College of Economics and Management,Nanjing University of Aeronautics and Astronautics,Nanjing211106,China)
Abstract:
With respect to the two-sided matching problems with intuitionistic fuzzy preference information, in which the reference dependence and loss aversion psychological behavior of the agents are considered, a two-sided fair and satisfied matching method is proposed based on TODIM (TOmada de decis\ao interativa multicritério). Firstly, the description of two-sided matching problems with intuitionistic fuzzy preference information is given. Then, the intuitionistic fuzzy preference information of the agents on both sides are transformed in to the gains or losses relative to the reference point based on the prospect theory. Furthermore, the total dominance degree of each agent is calculated based on the TODIM method, and the calculating rules of satisfaction degree is confirmed. An optimization two-sided fair and satisfied matching model is constructed, and the two-sided matching result 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  fair matching  satisfied matching  TODIM method

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