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模糊判断矩阵排序向量的确定方法研究
引用本文: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.
作者姓名:宋光兴  杨德礼
作者单位:1. 云南财贸学院,工商管理学院,云南,昆明,650221
2. 大连理工大学,管理学院,辽宁,大连,116024
基金项目:云南省教育厅基金资助项目(02ZY102)
摘    要:首先给出模糊判断矩阵的两种一致性的定义。然后分析现有确定模糊判断矩阵排序向量的方法的特点及存在的问题,在此基础上,系统研究确定模糊判断矩阵排序向量的两类方法,第一类方法是先将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;另一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。最后用算例说明所提出方法的应用。

关 键 词:模糊判断矩阵  AHP判断矩阵  加性一致性模糊判断矩阵  乘性一致性模糊判断矩阵  排序向量
文章编号:1001-7402(2004)02-0073-10
修稿时间:2002年12月23

Study on Approaches for Determining the Priority Weight Vectorof Fuzzy Judgment Matrix
SONG Guang-xing,YANG De-li.Study on Approaches for Determining the Priority Weight Vectorof Fuzzy Judgment Matrix[J].Fuzzy Systems and Mathematics,2004,18(2):73-82.
Authors:SONG Guang-xing  YANG De-li
Institution:SONG Guang-xing~1,YANG De-li~2
Abstract:The definitions of two kinds of consistency of fuzzy judgment matrix are given first. After (analyzing) the characteristics and problems of the existing methods for determining the priority weight (vector) of fuzzy judgment matrix, we systematically study two kinds of priority approaches. In the (first) kind of approach,the fuzzy judgment matrix 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 one with satisfactory consistency. In the end, some examples are presented to illustrate the proposed (approaches.)
Keywords:Fuzzy Judgment Matrix  AHP Judgment Matrix  Fuzzy Judgment Matrix with Additive Consistency  Fuzzy Judgment Matrix with Multiplicative Consistency  Priority Weight Vector
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