基于前景理论的多属性灰关联决策方法

发布时间：2018-04-18 04:28

本文选题：三参数区间灰数 + 前景理论　；参考：《模糊系统与数学》2017年02期

【摘要】：针对决策信息为三参数区间灰数、属性权重部分未知的多属性决策问题,考虑决策者主观风险态度,提出一种基于前景理论的灰关联决策方法。首先利用奖优罚劣的[-1,1]线性变换算子对原始决策信息规范化处理,由此确定正负理想方案。定义基于三参数区间灰数的关联系数,将其融入到前景理论给出了前景价值函数,构建综合前景值最大化的优化模型,求解最优属性权重,并最终确定方案的排序。最后用一个实例说明决策方法的合理性和有效性。
[Abstract]:Considering the subjective risk attitude of decision makers, a grey association decision making method based on foreground theory is proposed to solve the multi-attribute decision-making problem in which the decision information is three parameter interval grey number and the attribute weight is unknown.Firstly, the original decision information is normalized by using the [-1] linear transformation operator with merit and penalty, and then the positive and negative ideal scheme is determined.The correlation coefficient based on the three parameter interval grey number is defined, and the foreground value function is given by incorporating it into the foreground theory. The optimization model of maximizing the comprehensive foreground value is constructed, the optimal attribute weight is solved, and the ranking of the scheme is finally determined.Finally, an example is given to illustrate the rationality and effectiveness of the decision-making method.
【作者单位】：河南农业大学信息与管理科学学院;
【基金】：国家自然科学基金资助项目(71271086) 河南省软科学项目(122400450013)
【分类号】：O225

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