权重信息不完全的区间数多属性决策GRA方法

针对属性权重信息不完全,且属性值以区间数形式给出的多属性决策问题,提出了一种灰色关联分析的决策方法。该方法依据一般的灰色关联分析方法的基本思路,给出了解决属性权重信息不完全的区间数多属性决策问题的计算步骤。其核心是通过构建并求解一个单目标最优化模型,得到每个方案与正、负理想方案的关联度,进而计算出每个方案与正理想方案的相对关联度,即可得到所有方案的排序结果。最后给出一个数值例子,结果表明该方法简单、有效并易于计算。

Grey relational analysis method for interval multiple attribute decision making with incomplete attribute weights

For the problem of multiple attribute decision-making with incomplete information on attribute weights to which the attribute values are given in terms of interval numbers,a modified Grey Relational Analysis(GRA) method is proposed.Then the calculation steps to solve it are given.As the key step,a single objective programming model is developed to determine the relation degree between every alternative and positive ideal point or negative ideal point.Then,according to the relation degree,the relative relation degree to the positive point is calculated to rank all alternatives.At last,a numerical example is provided to illustrate the proposed method.The result shows the approach is simple,effective and easy to calculate.