群组决策中调整判断矩阵的统计平均法

探讨在群组决策中充分利用判断矩阵的信息对其进行调整的方法，给出了判断矩阵生成元的概念及其表达式，并论证了每个生成元都可以构造出一个一致的正互反矩阵的结论；确认将生成元得到的一致正互反矩阵进行几何平均，就能得出一个充分利用判断矩阵的信息且满足一致性的矩阵，并可用该矩阵替代判断矩阵．文中还以算例说明了该方法的实施过程，为群体决策的理论研究开拓了新的思路．

Geometrical average method of adjusting judgment matrix in group decision

The geometrical average method for adjusting the judgment matrix in the group decision is discussed by deriving fine-detail information from the judgment matrix. Firstly, the building-element' s conception is put forward and its expression is obtained. Each of building-elements can construct a consistent and reciprocal matrix is proved. The information of judgment matrix is extracted by all building-elements. Secondly, according to the buildingelement ' s expression a consistent and reciprocal matrix is provided by geometric mean of all judgment matrices constructed by the building-elements. The matrix owns better information than the judgment matrix. It can take the place of the judgment matrix. Finally, the method was applied by exampling yet. It opens a new sight for the group decision.