导入CI权函数的群组AHP拓广简化最小二乘法

The expand simplify least square method of group AHP with CI weight function

本文对群组判断矩阵排序提出一种新的导入CI权函数的拓广简化最小二乘法,鉴于群组AHP中不同专家所给判断矩阵质量上的差异,引入规一化后判断矩阵的一致性指标CI的倒数为相应专家的权函数,对群组判断矩阵进行不同程度的加权处理,得到了权重向量的相应计算公式,并给出其严格证明,最后通过算例验证了该算法的有效性。

This paper proposes a new expand simplify least square method with CI weight function in group judgment matrices compositor.Because of the differences of the comparison qualities given by experts,the new priority method used the reciprocal of CI as correspond expert’s weight function.With the different coefficients among the group comparison matrices it gains the calculate formula of weight vector,Moreover it is proved grimly.Finally an example shows that the method is very effective and useful.