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语言判断矩阵的一致性调整方法
引用本文:靳凤侠,黄天民.语言判断矩阵的一致性调整方法[J].系统工程与电子技术,2013,35(7):1472-1476.
作者姓名:靳凤侠  黄天民
作者单位:西南交通大学,四川成都 610031
摘    要:研究两两方案之间具有严格偏好关系的语言判断矩阵满意一致性判定方法,若不具有一致性给出调整方法。首先,利用语言判断矩阵的0-1 型排列偏好关系矩阵是否是上三角矩阵,来判定语言判断矩阵是否具有满意一致性;接着给出判断不合逻辑的三个方案比较结果构成循环圈矩阵的定义,在循环圈矩阵的基础上找出构成循环圈的三个方案,根据方案行偏好值的大小对不合逻辑的循环圈进行调整,得出方案的优劣顺序和调整后的语言判断矩阵;最后通过实例验证该方法的合理性和有效性。

收稿时间:2012-04-28
修稿时间:2013-01-08

Method for regulating consistency of linguistic judgment matrix
JIN Feng-xia,HUANG Tian-min.Method for regulating consistency of linguistic judgment matrix[J].System Engineering and Electronics,2013,35(7):1472-1476.
Authors:JIN Feng-xia  HUANG Tian-min
Institution:School of Mathematics, Southwest Jiaotong University, Chengdu 610031, China
Abstract:The problem of the satisfying consistency of linguistic judgment matrix with strict preference relation and the approach for regulating consistency are studied in this paper. Firstly, we judge whether a linguistic judgment matrix has satisfying consistency according to whether its0-1permutation preference relation matrix is upper triangular matrix. Then, a definition of cyclic matrix is presented, we can get all the teams of judgment elements that are illegitimate in the linguistic judgment matrix form the cyclic matrix and thereby efficiently adjust circle according to row preference value. The ranking of alternatives and linguistic judgment matrix with satisfying consistency are gotten. Finally, we present an example to demonstrate the validity and the practicality of this method.
Keywords:
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