GAHP中两种集结方式的等价性研究

Research on Equivalence of Two Aggregation Methods in GAHP

针对GAHP中群体偏好信息个体判断矩阵集结、个体排序向量集结两种方式之间的关系或优劣问题,从最终决策结果或综合排序向量角度考虑,运用线性代数方法,分析证明在统一使用加权几何平均模型前提下二者的等价性,并通过实际数值算例对其进行了直观显示.

In this paper,we discuss the relationship between the aggregation of individual judgment matrices and the aggregation of individual priorities from the decision results or the synthetic priorities,which are two different aggregation methods in the GAHP group preference information aggregations.We employ the linear algebra methods to prove the equivalence of the two different aggregation methods under the premise of a unified use of the weighted geometric mean model.In final,the numerical examples also show that the equivalence from the computational results.