不确定多属性决策双目标组合赋权模型研究

本文提出了灰距离熵的概念,并把灰距离熵作为区间灰数相离度的一个度量标准,建立了不确定多属性决策属性值的灰距离熵离差最大化模型。并在此基础上, 讨论了基于灰距离熵和极大熵的双目标规划组合赋权模型。从而实现了决策属性区间权重向点值权重的转化。最后并结合具体实例,验证了模型的有效性。

The Study of Multiple Attribute Decision Making Based on Bi-objective Combined Weights Model

In this paper,the distance entropy of the interval grey number is defined,and grey number distance entropy is used as the measurement standard of interval grey number distance.The grey distance entropy maximizing deviations model of the attributes of uncertain multiple attribute decision making is build.Then the bi-objective combined weight model based on the grey distance entropy and maximum-entropy is discussed.There by the transformation from the interval weights to certain weights is achieved.At last an example is used to verify this effectiveness of the decision making method.