残缺互补判断矩阵权的最小平方排序方法及改进  

Weighted least-square method and its improvement for priority of incomplete complementary judgement matrix

作　　者：许叶军[1] 达庆利[2] 

机构地区：[1]南京林业大学经济管理学院,江苏南京210037 [2]东南大学经济管理学院,江苏南京210096

出　　处：《系统工程与电子技术》2008年第7期1273-1276,共4页Systems Engineering and Electronics

基　　金：国家自然科学基金(70472033);南京林业大学科技创新基金(CX07-060-6)资助课题

摘　　要：研究了积型残缺互补判断矩阵的排序方法,提出了残缺互补判断矩阵权的最小平方法,然后在此基础上提出了残缺互补判断矩阵排序的二次规划法,并且给出了残缺互补判断矩阵一致性检验的公式。提出的方法不仅可以用于残缺互补判断矩阵的排序,而且可以用于完全互补判断矩阵的排序,从而为解决残缺互补判断矩阵排序问题提供了新的途径。理论和数值结果均表明:这些排序方法具有简洁可行?易于计算机上实施等优点。The priority method for multiplicative incomplete complementary judgement matrixes is studied, a weighted least square method for priority of incomplete complementary judgement matrixes is proposed. Based on that, a quadratic programming method is also proposed, and then a formula to test the consistency of the incom- plete complementary judgement matrix is given. The proposed methods can not only be used for the priority of the incomplete complementary judgement matrix but also the complementary judgement matrix, thus affording a novel approach to the priority of incomplete complementary judgement matrixes. The theoretic and numerical results show that the methods are simple, feasible, and can be performed on computer easily.

关 键 词：残缺互补判断矩阵 排序 一致性 

分 类 号：N945.25[自然科学总论—系统科学]