一种基于区间估计的多属性决策组合赋权方法

A Method of Combination Weighting for Multiple Attribute Decision Making based on Interval Estimation

讨论了多属性决策组合赋权问题中进行权重间相容性检验的必要性,提出了一种权重的相容性定义及判别定理,其基本思想是在评价矩阵已知的情况下,根据不同权重对方案间序关系的影响程度来确定它们的相容性.并且给出了在权重不相容情况下如何寻找并剔除疵点权重的方法.在此基础上,根据组合权重的特点,提出了一种基于区间估计求解组合权重的数学模型.最后运用本文提出的方法给出了一个实例的计算过程,检验了该方法的有效性.

The necessity of the consistence test in the problem of combination weighting of multiple attribute decision making is discussed. On the condition of given evaluation matrix, it puts forward a consistence definition between weights, whose ideology is based on different scheme priority with various weights, and the sufficient condition of the consistence is presented. It also offers the method to find and get rid of defect weight when the weights under combination are not consistent. On this basis, a mathematical model to solve the interval estimation of combination weight is established. At last the calculation process of an example using this method is demonstrated, which tests its validity.