残缺互补判断矩阵排序方法

Journal of Systems Engineering and Electronics ›› 2009, Vol. 31 ›› Issue (1): 95-99.

残缺互补判断矩阵排序方法

许叶军^1,2, 达庆利¹

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

收稿日期:2007-11-08 修回日期:2008-07-01 出版日期:2009-01-20 发布日期:2010-01-03
作者简介:许叶军(1979- ),男,博士研究生,主要研究方向为决策预测分析,非线性系统分析.E-mail:xuyejohn@163.com
基金资助:
南京林业大学科技创新基金资助课题(CX07-060-6)

Methods for priority of incomplete complementary judgement matrices

XU Ye-jun^1,2, DA Qing-li¹

1. Coll. of Economics and Management, Nanjing Forestry Univ., Nanjing 210037, China;
2. School of Economics and Management, Southeast Univ., Nanjing 210096, China

Received:2007-11-08 Revised:2008-07-01 Online:2009-01-20 Published:2010-01-03

摘要/Abstract

摘要： 在残缺互补判断矩阵的加性一致性概念的基础上,首先对其他两种残缺互补判断矩阵排序方法进行改进,然后提出了残缺互补判断矩阵的最小方差法和二次规划法,为解决残缺互补判断矩阵排序问题提供了新的途径。理论分析和数值结果均表明:这些排序方法具有简洁、有效,且易于计算器或计算机上实施等优点。

Abstract: Based on the concept of additive consistency of incomplete complementary judgement matrix,this paper first improves the two kinds priority methods of incomplete complementary judgement matrix which are given in the other two priority methods—the least variance priority method(LVM) and quadratic programming method for incomplete complementary judgement matrices.These methods develop the theory and methodology of priority of incomplete complementary judgement matrices.The theoretic analyses and numerical results show that the methods are simple,efficiency,and can be performed on computer easily.

中图分类号:

C934

许叶军, 达庆利. 残缺互补判断矩阵排序方法[J]. Journal of Systems Engineering and Electronics, 2009, 31(1): 95-99.

XU Ye-jun, DA Qing-li. Methods for priority of incomplete complementary judgement matrices[J]. Journal of Systems Engineering and Electronics, 2009, 31(1): 95-99.

参考文献

[1] 姚敏,张森.模糊一致矩阵及其在软科学中的应用[J].系统工程,1997,15(2):54-56.
[2] 张吉军.模糊层次分析法(FAHP)[J].模糊系统与数学,2000,14(2):80-88.
[3] Chiclana F,Herrera F,Herrera-Viedma E.Integrating three representation models in fuzzy multipurpose decision making based on fuzzy preference relations[J].Fuzzy Sets and Systems,1998,97:33-48.
[4] 徐泽水.AHP中两类标度的关系研究[J].系统工程理论与实践,1999,19(7):97-101.
[5] 徐泽水.模糊互补判断矩阵排序的一种算法[J].系统工程学报,2001,16(4):311-314.
[6] 徐泽水.模糊互补判断矩阵排序的最小方差法[J].系统工程理论与实践,2001,21(10):93-96.
[7] 吕跃进.基于模糊一致矩阵的模糊层次分析法的排序[J].模糊系统与数学,2002,16(2):79-85.
[8] 樊治平,姜艳萍.模糊判断矩阵排序方法研究的综述[J].系统工程,2001,19(5):12-18.
[9] Herrera-Viedma E,Herrera F,Chiclana F,et al.Some issues on consistency of fuzzy preference relations[J].European Journal of Operational Research,2004,154:98-109.
[10] 宋光兴,杨德礼.确定模糊判断矩阵排序向量的两类方法[J].系统工程理论方法应用,2004,13(2):161-166.
[11] 宋光兴,杨德礼.模糊判断矩阵排序向量的确定方法研究[J].模糊系统与数学,2004,18(2):73-82.
[12] 姜艳萍,樊治平.基于模糊判断矩阵的一种方案排序方法[J].东北大学学报,2000,21(4):450-452.
[13] 侯福均,吴祈宗.模糊互补判断矩阵的加性一致性[J].北京理工大学学报,2004,24(4):367-372.
[14] 徐泽水.残缺互补判断矩阵[J].系统工程理论与实践,2004,24(6):91-97.
[15] Xu Z S.Goal programming models for obtaining the priority vector of incomplete fuzzy preference relation[J].International Journal of Approximate Reasoning,2004,36:261-270.
[16] 运筹学教材编写组.运筹学[M].北京:清华大学出版社,1990.
[17] 许叶军,达庆利.残缺互补判断矩阵权的最小平方排序方法及其改进.系统工程与电子技术,2008,30(7):1273-1276.(Xu Yejun,Da Qingli.Weighted least-square method and its improvement for priority of incomplete complementary judgement matrix[J].Systems Engineering and Electronics,2008,30(7):1273-1276.)