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模糊互补判断矩阵的一种一致性调整方法及其收敛性
引用本文:吕跃进,徐改丽,覃菊莹.模糊互补判断矩阵的一种一致性调整方法及其收敛性[J].模糊系统与数学,2007,21(3):86-92.
作者姓名:吕跃进  徐改丽  覃菊莹
作者单位:广西大学,数学与信息科学学院,广西,南宁,530004
基金项目:广西大学科研基金资助项目(X032016)
摘    要:首先对一个常用的检验互补判断矩阵一致性标准作了简化,对任一模糊互补矩阵构造相应的模糊一致矩阵,在此基础上给出了一种一致性调整的新方法,并证明了此方法的收敛性。最后用一个算例说明这种调整方法的应用。

关 键 词:模糊互补判断矩阵  满意一致性  权重矩阵  偏差矩阵
文章编号:1001-7402(2007)03-0086-07
收稿时间:2006-03-04
修稿时间:2006-03-04

A Method for Adjusting the Consistency of Fuzzy Complementary Judgment Matrices and Its Convergence
LV Yue-jin,XU Gai-li,QIN Ju-ying.A Method for Adjusting the Consistency of Fuzzy Complementary Judgment Matrices and Its Convergence[J].Fuzzy Systems and Mathematics,2007,21(3):86-92.
Authors:LV Yue-jin  XU Gai-li  QIN Ju-ying
Institution:College of Mathematics and Information Science,Guangxi University,Nanning 530004,China
Abstract:This paper first reduces a common standard checking the consistency of a complementary judgment matrix,and constructs a fuzzy consistent matrix corresponding for any fuzzy complementary judgment matrix.Based on it,the paper not only proposes a new method for regulating the consistency of complementary judgment matrix,but also proves the convergence of the method.Finally,a numerical example is given to illustrate the use of the new method.
Keywords:Fuzzy Complementary Judgment Matrix  Satisfying Consistency  Weight Matrix  Deviation Matrix
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