区间数判断矩阵满意一致性的判定方法和方案的排序  

Determining satisfying consistency of interval comparison matrix and ranking of alternatives

作　　者：靳凤侠[1] 黄天民[1] 

机构地区：[1]西南交通大学数学学院,成都610031

出　　处：《控制与决策》2013年第3期451-455,共5页Control and Decision

基　　金：国家自然科学基金项目(60873108;61100046);中央高校科研业务费专项资金项目(swjtu09ZT37;swjtu11ZT29)

摘　　要：研究区间数判断矩阵的满意一致性和方案的排序.首先,给出区间数判断矩阵满意一致性的一种新的定义;然后,利用区间数判断矩阵的0-1型中心值排列矩阵是否为标准0-1型排列矩阵来判断区间数判断矩阵是否为满意一致性矩阵,若具有满意一致性,则可以直接从0-1型中心值排列矩阵中得出方案的优劣顺序,此种方法适用于对存在等价方案的区间数判断矩阵满意一致性的判定;最后给出两个例子说明了该方法的合理性和可行性.The problem of the satisfying consistency of interval comparison matrix and the ranking of alternatives are studied. Firstly, a new definition of the satisfying consistency of the interval comparison matrix is proposed. Then, whether an interval comparison matrix has satisfying consistency is judged according to whether its O-1 central value permutation matrix is a standard 0-1 permutation matrix. If the interval comparison matrix has satisfying consistency, the ranking of alternatives are obtained directly from the O- 1 central value permutation matrix, and thereby the satisfying consistency of an interval comparison matrix with non-strict palrwise comparison information is judged. Finally, two examples are given to demonstrate the rationality and the feasibility of the proposed method.

关 键 词：群决策 区间数判断矩阵 满意一致性 排列矩阵 

分 类 号：C934[经济管理—管理学]