基于累积前景理论的具有不确定偏好序信息的双边匹配决策方法

乐琦

系统科学与数学 ›› 2013, Vol. 33 ›› Issue (9) : 1061-1070.

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PDF(447 KB)
系统科学与数学 ›› 2013, Vol. 33 ›› Issue (9) : 1061-1070. DOI: 10.12341/jssms12170
论文

基于累积前景理论的具有不确定偏好序信息的双边匹配决策方法

    乐琦
作者信息 +

DECISION METHOD FOR THE TWO-SIDED MATCHING WITH UNCERTAIN PREFERENCE ORDINAL INFORMATION BASED ON CUMULATIVE PROSPECT THEORY

    YUE Qi
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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.

Abstract

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.

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乐琦. 基于累积前景理论的具有不确定偏好序信息的双边匹配决策方法. 系统科学与数学, 2013, 33(9): 1061-1070. https://doi.org/10.12341/jssms12170
YUE Qi. DECISION METHOD FOR THE TWO-SIDED MATCHING WITH UNCERTAIN PREFERENCE ORDINAL INFORMATION BASED ON CUMULATIVE PROSPECT THEORY. Journal of Systems Science and Mathematical Sciences, 2013, 33(9): 1061-1070 https://doi.org/10.12341/jssms12170
中图分类号: 90B50   
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