运筹与管理 ›› 2015, Vol. 24 ›› Issue (2): 113-120.DOI: 10.12005/orms.2015.0053

• 理论分析与方法探讨 • 上一篇    下一篇

不确定偏好序信息下考虑主体心理行为的双边匹配决策方法

乐琦1, 张磊2, 张莉莉3   

  1. 1.江西财经大学 信息管理学院,江西 南昌 330013;
    2.北京交通大学 经济管理学院,北京 100044;
    3.辽宁科技大学 工商管理学院,辽宁 鞍山 114051
  • 收稿日期:2013-05-20 出版日期:2015-04-12
  • 作者简介:乐琦(1983-),男,江西东乡人,江西财经大学信息管理学院讲师,博士,研究方向:管理决策分析与运筹学。
  • 基金资助:
    国家自然科学基金资助项目(71261007,71261006,71361021)

Decision Method for Two-sided Matching Considering Agents’ Psychological Behavior with Uncertain Preference Ordinal Information

YUE Qi1, ZHANG Lei2, ZHANG Li-li3   

  1. 1.School of Information Management, Jiangxi University of Finance and Economics, Nanchang 330013, China;
    2.School of Economics & Management, Beijing Jiaotong Uinversity, Beijing 100044, China;
    3.School of Business Administration, Liaoning Science and Technology University, Anshan 114051, China
  • Received:2013-05-20 Online:2015-04-12

摘要: 针对基于不确定偏好序信息的双边匹配问题,本文提出了一种决策方法。给出了双边匹配和不确定偏好序的相关概念,同时给出了不确定偏好序信息下考虑主体心理行为的双边匹配问题描述;以每个主体给出的临界值作为其参照点,计算了每个主体给出的不确定偏好序相对于参照点的收益或损失;考虑到主体损失规避的心理行为特征,依据TODIM思想计算每个主体对另一方主体的益损值的感知价值;在此基础上,构建了求解该双边匹配问题的双目标优化模型,使用线性加权法将双目标优化模型转化为单目标优化模型,通过求解该单目标优化模型获得匹配结果;最后,通过IT服务外包中的供给方与需求方的双边匹配实例分析说明了所提方法的有效性。

关键词: 管理科学, 双边匹配, 不确定偏好序, 心理行为, TODIM, 感知价值, 优化模型

Abstract: With regard to the two-sided matching problem based on uncertain preference ordinal information, a decision method is proposed. The related concepts of two-sided matching and uncertain preference ordinal are firstly introduced, and the problem description of two-sided matching considering agents’ psychological behavior with uncertain preference ordinal information is given. Secondly, the threshold value given by each agent is chosen as the reference point, and the gain and loss relative to the reference point corresponding to the uncertain preference ordinal given by each agent are calculated. Considering trait of loss aversion of the agent’s psychological behavior, the perceived value of gain and loss of each agent with respect to the agent of the other side is calculated according to the idea of TODIM. Furthermore, a bi-objective optimization model is developed. By using linear weighted method, the bi-objective optimization model is converted into a single objective model. The matching result is obtained by solving the model. Finally, an illustrative example of two-sided matching between demanders and suppliers in IT service outsourcing is used to illustrate the validity of the proposed method.

Key words: management science, two-sided matching, uncertain preference ordinal, psychological behavior, TODIM, perceived value, optimization model

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