摘要
针对属性值以区间数形式给出并且已知方案偏好信息的多属性决策问题,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,给出了该问题的计算步骤,其核心是通过构建并求解一个单目标最优化模型,得到属性权重信息,从而计算出每个方案客观偏好值与主观偏好值的灰色关联系数,进而得到每个方案客观偏好与主观偏好的关联度,根据关联度对所有方案进行排序。最后给出了一个数值例子,结果表明方法简单,有效和易于计算。
With respect to the problem of multiple attribute decision-making with interval numbers and preference information on alternatives, the method of Grey Relational Analysis （GRA） is proposed. Then the calculation steps to solve it are given. As the key step, a single objective programming model is constructed to obtain the attribute weights. Then, the relational coefficients between objective preference and subjective preference of every alternative are obtained. Then, according to the relational degree, all alternatives are ranked. At last, a numerical example is provided to illustrate the proposed method. The result shows the approach is simple, effective and easy to calculate.
出处
《中国管理科学》
CSSCI
2008年第1期158-162,共5页
Chinese Journal of Management Science
基金
国家自然科学基金资助项目(70501025)
关键词
多属性决策
属性权重
区间数
灰色关联分析
单目标最优化
multiple attribute decision-making
attribute weight
interval numbers
Grey Relational Analysis （GRA）
single objective programming
