互补判断矩阵排序的最小偏差法的性质  

The Properties of the Least Deviation Priority Method for Complementary Judgement Matrix

作　　者：陈华友[1] 周礼刚[2] 

机构地区：[1]南京大学管理科学与工程研究院,江苏南京210093 [2]安徽大学数学系,安徽合肥230039

出　　处：《运筹与管理》2004年第3期39-43,共5页Operations Research and Management Science

基　　金：安徽省教育厅科研基金资助项目(2002kj022)

摘　　要：互补判断矩阵是决策者给出的一种重要的偏好信息形式。本文基于完全一致性互补判断矩阵的定义,提出互补判断矩阵排序的最小偏差法,研究了它的一些优良性质,包括强条件下保序性、置换不变性、相容性等,最后给出了一个算例,结果表明该种排序方法是有效的。Complementary judgement matrix is a kind of important preference information form provided by decision maker. Based on the definition of perfectly consistent complementary judgement matrix, the least deviations priority method for priorities of complementary judgement matrix is proposed. Some properties, such as rank preservation under strong condition, permutation invariability, compatibility etc, are studied in this paper. Finally a numerical example is given and the results show that this method is effective.

关 键 词：互补判断矩阵 最小偏差法 保序性 置换不变性 排序 多属性决策 

分 类 号：C934[经济管理—管理学] O223[理学—运筹学与控制论]