| 区间数判断矩阵的准一致性及其修正IEM算法 |
| |
| 引用本文： | 方宇,刘心报.区间数判断矩阵的准一致性及其修正IEM算法[J].合肥工业大学学报(自然科学版),2005,28(10):1299-1302. |
| |
| 作者姓名： | 方宇 刘心报 |
| |
| 作者单位： | 合肥工业大学,管理学院,安徽,合肥,230009 |
| |
| 摘 要： | 区间数判断矩阵的一致性问题一直是不确定性层次分析法(AHP)的研究难点,至今仍没有一个统一而且规范的定义。文章提出了区间数判断矩阵的准一致性概念作为一个新的评判标准,并在此基础上对已较为广泛应用的计算区间数判断矩阵权重向量的IEM算法进行了修正,给出了一个可通用的计算权重向量的公式,并举例证明了该方法的合理性以及计算简单性。
|
| 关 键 词： | 不确定性AHP 区间数判断矩阵 准一致性 区间特征向量 |
| 文章编号： | 1003-5060(2005)10-1299-04 |
| 修稿时间： | 2004年12月1日 |
Similar-consistency of the interval number judgment matrix and its modified IEM arithmetic |
| |
| FANG Yu,LIU Xin-bao.Similar-consistency of the interval number judgment matrix and its modified IEM arithmetic[J].Journal of Hefei University of Technology(Natural Science),2005,28(10):1299-1302. |
| |
| Authors: | FANG Yu LIU Xin-bao |
| |
| Abstract: | The consistency of the interval number judgement matrix is a difficult problem in the study of the uncertain Analytic Hierarchy Process(AHP),and it still has not a normative definition by far.In this paper,the concept of similar-consistency of the interval number judgment matrix is put forward as a new criterion and the IEM arithmetic that has been applied widely is modified on the basis of similar-consistency,then a new formula of calculating the interval number eigenvalue is presented.The rationality and simplicity of the given method are proven by a numerical example. |
| |
| Keywords: | uncertain Analytical Hierarchic Process(AHP) interval number judgment matrix similar-consistency interval number eigenvalue vector |
| 本文献已被 CNKI 万方数据 等数据库收录！ |
|
