基于前景理论和证据推理的双边匹配决策方法

张亚杰,王应明,陈圣群

系统科学与数学 ›› 2017, Vol. 37 ›› Issue (3) : 768-780.

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PDF(493 KB)
系统科学与数学 ›› 2017, Vol. 37 ›› Issue (3) : 768-780. DOI: 10.12341/jssms13101
论文

基于前景理论和证据推理的双边匹配决策方法

    张亚杰1,王应明1,陈圣群2
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Decision Method for Two-Sided Matching Based on Prospect Theory and Evidence Reasoning

    ZHANG Yajie1 ,WANG Yingming1 ,CHEN Shengqun2
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摘要

针对考虑匹配主体心理因素的双边匹配决策问题, 提出了一种决策方法. 首先, 以匹配主体给出的期望值为参照点, 利用前景理论计算属性前景值, 在此基础上, 以属性前景值作为证据, 通过融合证据计算出综合前景值; 然后, 将综合前景值融合为综合感知价值并将综合感知价值转化为匹配满意度, 建立并求解以匹配满意度最大化为目标的优化模型; 最后, 算例分析说明该匹配方法的有效性和实用性.

Abstract

A decision-making method is proposed to solve two-sided matching problems with the consideration of matching agents' psychological factors. First, the expected values given by each agent are chosen as the reference points and the prospect values of attributes relative to the reference points are obtained by prospect theory. The prospect values of attributes are then taken as pieces of evidence and comprehensive prospect values of matching are gotten by evidence fusion. Furthermore, the comprehensive prospect values are transformed into comprehensive perceived values by evidence fusion and the comprehensive perceived values are converted into satisfaction degrees. An optimization model which maximizes the satisfaction degrees of matching is constructed and solved. A numerical example is used to illustrate the validity and practicality of the proposed method.

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张亚杰 , 王应明 , 陈圣群. 基于前景理论和证据推理的双边匹配决策方法. 系统科学与数学, 2017, 37(3): 768-780. https://doi.org/10.12341/jssms13101
ZHANG Yajie1 , WANG Yingming , CHEN Shengqun. Decision Method for Two-Sided Matching Based on Prospect Theory and Evidence Reasoning. Journal of Systems Science and Mathematical Sciences, 2017, 37(3): 768-780 https://doi.org/10.12341/jssms13101
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