摘要
针对考虑主体预期值的具有不确定偏好序信息的双边匹配问题,提出了一种基于累积前景理论的决策方法.依据已有的双边匹配和不确定偏好序的概念,描述了该双边匹配问题;将主体给出的预期值视为参照点,构建了两个相对参照点的益损矩阵;依据累积前景理论和规范化公式,构建了两个规范化前景矩阵;在此基础上,构建了一个多目标双边匹配优化模型,使用线性加权法将多目标优化模型进行转化,通过求解转化后的单目标优化模型获得匹配方案;最后,人员与工作任务的双边匹配实例分析说明了所提方法的有效性.
This paper proposes a decision method based on cumulative prospect theory to solve the two-sided matching problem with uncertain preference ordinal in-
formation considering agents’ expected values. Firstly, according to the existing con- cepts of two-sided matching and uncertain preference ordinal, the two-sided matching problem above is described. Then the expected value given by each agent is chosen as the reference point, and two matrixes of gain and loss relative to the reference points are constructed. The two normalized prospect matrix are set up based on cumulative prospect theory and normalized formula. Furthermore, a multi-objective two-sided matching optimization model is developed. The multi-objective optimization model is transformed by using the linear weighted method. The matching result is obtained by solving the transformed single objective optimization model. Finally, an illustrative example of two-sided matching between persons and tasks illustrates the validity of the proposed method.
出处
《系统科学与数学》
CSCD
北大核心
2013年第9期1061-1070,共10页
Journal of Systems Science and Mathematical Sciences
基金
国家自然科学基金资助项目(71261007
71261006
71361021)
教育部人文社会科学基金资助项目(12YJC630080)
江西省自然科学基金资助项目(20132BAB201015)
江西省自然科学基金青年资助项目(20122BAB211009)
江西省社会科学"十二五"规划项目(12GL32)
江西省教育厅科学技术研究项目(GJJ13292)
江西财经大学2012年度校级重点课题资助项目(05682015)资助课题
关键词
双边匹配
不确定偏好序
预期值
累积前景理论
优化模型
Two-sided matching, uncertain preference ordinal, expected value, cumulative prospect theory, optimization modeh
