基于非传递路径的次序一致性判断与修正-控制与决策.PDFVIP

第27 卷 第8 期 控 制 与 决 策 2012 年 8 月 Vol. 27 No. 8 Control and Decision Aug. 2012 文章编号: 1001-0920 (2012) 08-1251-05 基于非传递路径的次序一致性判断与修正 张细香, 金 镇, 张 云 (嘉兴学院商学院，浙江嘉兴314001) 摘 要: 为了修正非次序一致性矩阵, 定义了非传递路径数和非传递路径贡献数两个概念. 提出利用非传递路径矩 阵来进行模糊判断矩阵的次序一致性判断方法. 同时, 根据非传递路径数的大小来确定模糊判断矩阵中的最不合理 元素, 这样模糊判断矩阵的次序一致性判断和修正可以一体化实现. 最后, 用1 个中小板上市公司的非财务指标体系 构建作为实例进行说明. 关键词: 次序一致性；模糊判断矩阵；修正；判断；非传递路径 中图分类号: C934 文献标识码: A Integrated method for judging and revising ordinal consistency based on non-transitive route ZHANG Xi-xiang, JIN Zhen, ZHANG Yun (Business School，Jiaxing College ，Jiaxing 314001 ，China ．Correspondent ：ZHANG Xi-xiang ，E-mail ：zhangmiddle @126.com) Abstract: To revise the judgment matrix without ordinal consistency, the concepts of non-transtive route number and non- transitive route contribution are defined. The method to judge the ordianl consistency of a fuzzy judgment matrix using non-transitive route matrix is proposed, and the way to find the most unresonable element in the fuzzy judgment matrix based on non-transitive route number is proposed, which integrates the judging process and the revising process. Finally, an example of building the non-financial evaluation system for listed companies in Chinese small and medium-sized entreprises board is used to illustrate the method. Key words: ordinal consistency ；fuzzy judgment matrix ；revising ；judging ；non-transitive route 1 引引引 言言言 一致性是保持判断者思维符合不矛盾律的起码要求. 在决策过程中, 有时难以用精确的数据来表示其 [6-7] 也提出了次序一致性是进行判断矩阵的基本一 偏好, 较容易用“差、一般、好”等模糊语言来表示. 模 致性判断的前提. 已有的文献结果显示, 对于判断矩 糊语言偏好可以用模糊数、区间数、模糊三角数、梯 阵的次序一致性判定方法有3 种: [8] 提出了通过计 [1-3]