一致性区间数互补判断矩阵的性质及排序  

On the Properties and Priority Method of a Consistent Interval Complementary Judgement Matrix

作　　者：李继乾[1] 张智刚[1] 赵成元[1] 

机构地区：[1]曲阜师范大学运筹与管理学院,山东日照276826

出　　处：《滨州学院学报》2008年第6期21-25,共5页Journal of Binzhou University

基　　金：国家自然科学基金资助项目(10671108);山东省自然科学基金资助项目(Y2005A04)

摘　　要：讨论了具有序传递性的区间数互补判断矩阵的性质,在此基础上证明了一致性区间数互补判断矩阵的权值可行域中所有向量的分量在不劣于的次序关系下具有完全相同的排列次序.因此,用权值可行域的顶点的算术平均和几何平均作为一致性区间数互补判断矩阵的排序向量是合理的.In this paper,we discuss the properties of an interval complementary judgement matrix with transitivity. On the base of this theory,we prove that any vector in the feasible region of the priority weights on the consistent interval complementary comparison matrix, exhibit the same rank order in the sense of the alternative not being inferior to the alternative. Thus,it is a simple and reasonable priority method using the arithmetic mean or geometric mean of all the vertices of the feasible region to generate the priority weights of a consistent internal complementary judgement matrix.

关 键 词：传递性 一致性 区间数互补判断矩阵 

分 类 号：O223[理学—运筹学与控制论]