AHP中群决策的几何平均超传递近似法  

Geometric mean and super-transitive approximate method of AHP group decision

作　　者：黄德才[1,2] 李秉焱[1] 

机构地区：[1]浙江工业大学理学院 [2]浙江工业大学计算机科学与技术学院,杭州310032

出　　处：《控制与决策》2012年第5期797-800,共4页Control and Decision

基　　金：浙江省科技计划项目(2009C11024)

摘　　要：研究了层次分析法(AHP)群决策中判断矩阵的合并问题.首先,论证了层次分析法中m个判断矩阵的几何平均矩阵是判断矩阵,以及m个判断矩阵的加权几何平均复合判断矩阵是判断矩阵;然后,提出了层次分析法中简化的超传递近似法及群决策的几何平均超传递近似法,该方法不需要一致性检验,同时又保持了专家的原始意见;最后,通过一个实例验证了该方法的有效性和实用性.The judgment matrix combination problem of analytic hierarchy process（AHP） group decision making is studied. Firstly,it is proved that geometric mean matrix of m judgment matrices is a judgment matrix,and the weighted geometric mean matrix of m judgment matrices is a judgment matrix too.After that,a simplified over super-transitive approximate method in AHP decision making and a geometric mean over super-transitive approximate method in AHP group decision making are proposed.The method does not require a consistency check,while maintaining the original opinion of the experts. Finally,an example illustrates the effectiveness and feasibility of the proposed method.

关 键 词：层次分析法 群决策 几何平均 超传递近似 

分 类 号：C934[经济管理—管理学]