三端点区间数互反判断矩阵的排序方法研究

中国管理科学 ›› 2012, Vol. ›› Issue (2): 152-158.

三端点区间数互反判断矩阵的排序方法研究

张娜^1,2, 朱建军²

1. 石河子大学商学院, 新疆石河子 831300;
2. 南京航空航天大学经济与管理学院, 江苏南京 210016

收稿日期:2010-10-25 修回日期:2011-12-30 出版日期:2012-04-29 发布日期:2012-04-25
基金资助:
国家自然科学基金资助项目(70701017,70971064,71171112);南京航空航天大学基本科研业务费专项科研基金(NS2010209);教育部人文社科项目(11YJC630129);重庆市教育委员会人文社会科学研究重点项目(11SKH03)

Research on the Priority Method of Three-point Interval Number Reciproca Judgment Matrix

ZHANG Na^1,2, ZHU Jian-jun²

1. Commerce college, Shihezi University, Shihezi 831300, China;
2. College of Economics and Management, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, China

Received:2010-10-25 Revised:2011-12-30 Online:2012-04-29 Published:2012-04-25

摘要/Abstract

摘要： 本文研究了三端点区间数互反判断矩阵的一致性和排序方法。在三端点区间数互反判断矩阵完全一致性概念的基础上,首次将矩阵特征向量思想引入三端点区间数互反判断矩阵之中——研究了三端点区间数互反判断矩阵的一致性与权重向量之间的类似特征向量关系,并运用线性规划模型给出一种处理三端点区间数决策者对方案属性权重的方法,然后通过三端点区间数权重向量的期望值,进行方案集结排序。最后通过具体的案例,验证了所提出方法的有效性和适用性。

关键词: 多属性决策, 三端点区间数, 互反判断矩阵, 排序

Abstract: The consistency and the priority method of three-point interval number Reciproca judgment matrix are studied. Based on the definition of three-point interval number reciproca judgment matrix, the relations between the consistency and the the weight vector for three-point interval number reciproca judgment matrix discussed.Then, a linear programming model is established,and the weight vector of three-point interval number reciproca judgment matrix is obtained. By using the expectations of three-point interval number reciproca judgment matrix, the decision alternatives are ranked. Finally, some numerical examples illustrate the effectiveness and practicality of the proposed methods.

Key words: multi-attribute decision, three-point interval number, reciproca judgment matrix, priority

中图分类号:

C934
O223

张娜, 朱建军. 三端点区间数互反判断矩阵的排序方法研究 [J]. 中国管理科学, 2012, (2): 152-158.

ZHANG Na, ZHU Jian-jun. Research on the Priority Method of Three-point Interval Number Reciproca Judgment Matrix[J]. Chinese Journal of Management Science, 2012, (2): 152-158.

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