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确定模糊判断矩阵排序向量的两类方法
引用本文:宋光兴,杨德礼.确定模糊判断矩阵排序向量的两类方法[J].系统管理学报,2004,13(2):161-166.
作者姓名:宋光兴  杨德礼
作者单位:大连理工大学,管理学院,大连,116024
基金项目:云南省教育厅基金项目(02ZY102)
摘    要:在给出模糊判断矩阵的加性一致性和乘性一致性概念的基础上,提出了确定模糊判断矩阵排序向量的两类方法,第1类方法是先将一致性或具有满意一致性的模糊判断矩阵转化为AHP判断矩阵,然后将后者的排序向量作为前者的排序向量;第2类方法是直接由一致性或具有满意一致性的模糊判断矩阵计算排序向量。最后进行了算例分析。

关 键 词:模糊判断矩阵  AHP判断矩阵  加性一致性  乘性一致性  排序向量
文章编号:1005-2542(2004)02-0161-06
修稿时间:2002年12月23

Two Kinds of Approaches for Determining the Priority Weight Vector of Fuzzy Judgment Matrix
SONG Guang-xing,YANG De-li.Two Kinds of Approaches for Determining the Priority Weight Vector of Fuzzy Judgment Matrix[J].Systems Engineering Theory·Methodology·Applications,2004,13(2):161-166.
Authors:SONG Guang-xing  YANG De-li
Abstract:After giving the concetps of additive consistency and multiplicative consistency of fuzzy judgment matrix, we propose two kinds of approach for determining the priority weight vector of fuzzy judgment matrix. In the first kind of approach, a consistent fuzzy judgment matrix or a fuzzy judgment matrix with satisfactory consistency is transformed into an AHP judgment matrix, and the priority weight vector of the AHP judgment matrix is regarded as that of the fuzzy judgment matrix. In the second kind of approach, the priority weight vector is calculated directly from a consistent fuzzy judgment matrix or a fuzzy judgment matrix with satisfactory consistency. Finally, some examples are presented to illustrate the approaches.
Keywords:fuzzy judgment matrix  AHP judgment matrix  additive consistency  multiplicative consistency  priority weight vector
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