三参数区间灰数信息下风险型多准则决策方法

李存斌; 赵坤; 祁之强

doi:10.16383/j.aas.2015.c140157

三参数区间灰数信息下风险型多准则决策方法

doi: 10.16383/j.aas.2015.c140157

1.
华北电力大学经济与管理学院北京 102206

基金项目:

国家自然科学基金(71071054, 71271084)资助

详细信息

作者简介:
李存斌华北电力大学经济与管理学院教授. 主要研究方向为信息管理与风险型决策分析.E-mail: Lcb999@263.net

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出版历程
- 收稿日期: 2014-03-14
- 修回日期: 2015-03-20
- 刊出日期: 2015-07-20

A Risky Multi-criteria Decision-making Method with Three-parameter Interval Grey Number

1.
School of Economics and Management, North China Electronic Power University, Beijing 102206

Funds:

Supported by National Natural Science Foundation of China (71071054, 71271084)

摘要

摘要: 针对概率和准则值均为三参数区间灰数的多准则决策问题,本文提出了一种基于前景理论的决策方法. 该方法首先定义了三参数区间灰数的距离和精确记分函数,并通过讨论其性质给出了比较大小的方法; 其次,通过给出三参数区间灰数前景价值和概率权重函数的定义,以多参考点为思路,构建前景决策矩阵, 并通过提出参考点集结算子,集结出综合前景决策矩阵. 进而,由优化模型求得的最优准则权系数加权得出方案的综合前景值及排序; 最后,通过算例对比说明了该方法的合理性和可靠性.
- 风险型决策 /
- 前景理论 /
- 三参数区间灰数 /
- 参考点
Abstract: In view of the multi-criteria decision-making problem that probabilities and the criteria values of alternatives are both three-parameter interval grey number, a risky decision-making approach based on prospect theory is proposed. In this method, firstly, the distance and the exact function of three-parameter interval grey number are defined, and on the basis of the analysis and discussion of its properties, a three-parameter interval grey number comparison method is defined. Secondly, we give the definition of the prospect value function and the probabilities weighting function of three-parameter interval grey number. Then, the prospect value of each alternative is calculated based on multi-reference point, and the integrated prospect decision matrix is constructed by giving the reference point aggregating operator. Moreover, the integrated prospect value of each alternative is aggregated by the integrated prospect decision matrix and the optimal criteria weights given by the optimization model. After that we can order these alternatives by comparing their integrated prospect values. Finally, an example is presented to examine the effectiveness of our method.
- Risky decision-making /
- prospect theory /
- three-parameter interval number /
- reference point

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