区间数判断矩阵满意一致性递推排序方法研究

区间数判断矩阵满意一致性递推排序方法研究

胡钢¹,冯向前¹,魏翠萍²,李宗植¹

1. 南京航空航天大学经济与管理学院, 江苏南京 210016; 2. 曲阜师范大学运筹与管理学院, 山东日照 276826

收稿日期:1900-01-01 修回日期:1900-01-01 出版日期:2006-10-24 发布日期:2006-10-24
通讯作者: 胡钢

Research on consistency and recursive priority of an interval number complementary judgment matrix

HU Gang¹,FENG Xiang-qian¹,WEI Cui-ping², LI Zong-zhi¹

1. College of Economics and Management, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, Jiangsu;2. College of Operations Research and Management, Qufu Normal University, Rizhao 276826

Received:1900-01-01 Revised:1900-01-01 Online:2006-10-24 Published:2006-10-24
Contact: HU Gang

摘要/Abstract

摘要： 研究了区间数判断矩阵的一致性和递推排序方法. 根据区间数判断矩阵的概念给出了区间数判断矩阵的完全一致性定义, 通过对完全一致性性质的讨论演绎出区间数判断矩阵的一致性和满意一致性定义及其判别方法，并且研究了一致性和满意一致性定义的合理性, 提出了求解区间数判断矩阵排序向量的递推排序方法, 最后用算例验证了方法的有效性.

关键词: 区间数判断矩阵, 标准化 , 特征向量, 一致性

Abstract: The consistency and the recursive priority method of an interval number complementary judgment matrix were studied. According to the definition of an interval number complementary judgment matrix, the definition of complete consistency and satisfactory were introduced. Furthermore, the recursive method for the consistency of an interval number complementary judgment matrix was addressed from the perspective of complete consistency. Based on the interval-weight vector of the priority method, the method for recursive priorities of the interval number judgment matrix was proposed. Finally, a numerical example was given to illustrate the effectiveness of this method.

Key words: normalization , eigenvector, consistency, interval number judgment matrix

中图分类号:

C934

胡钢,冯向前,魏翠萍,李宗植 . 区间数判断矩阵满意一致性递推排序方法研究[J]. J4, 2007, 42(11): 89-93 .

HU Gang,FENG Xiang-qian,WEI Cui-ping,LI Zong-zhi . Research on consistency and recursive priority of an interval number complementary judgment matrix[J]. J4, 2007, 42(11): 89-93 .

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