Journal of Systems Engineering and Electronics ›› 2009, Vol. 31 ›› Issue (9): 2129-2132.

• 系统工程 • 上一篇    下一篇

一种判断矩阵的不一致性调整方法

江文奇   

  1. 南京理工大学经济管理学院, 江苏, 南京, 210094
  • 收稿日期:2008-07-30 修回日期:2009-02-20 出版日期:2009-09-20 发布日期:2010-01-03
  • 作者简介:江文奇(1976- ),男,副教授,博士,主要研究方向为决策分析.E-mail:wqjiang@ustc.edu
  • 基金资助:
    国家自然科学基金(70871059);国家科技支撑计划基金(2008BAK42B07);江苏省哲学社科基金(09SJD630044);南京理工大学科研发展基金(AB51568);南京理工大学经济管理学院青年基金(JGQN0704);预研项目(JGQYY0806)资助课题

Method of adjusting inconsistency of judgment matrixes

JIANG Wen-qi   

  1. School of Economics and Management, Nanjing Univ. of Science and Technology, Nanjing 210094, China
  • Received:2008-07-30 Revised:2009-02-20 Online:2009-09-20 Published:2010-01-03

摘要: 针对判断矩阵的不一致性调整问题,考虑标度在因素重要性描述中的模糊性,提出了一种基于扰动矩阵的层次分析法(analytic hierarchy process,AHP)中各要素排序权值计算新方法(BDA-CAHP)。该方法将判断矩阵分解为一致性矩阵与扰动矩阵,基于扰动矩阵调整的理论分析,得到了不一致性调整步骤。实例说明了该方法的有效性。

Abstract: To study the inconsistency adjustment of judgment matrixes in analytic hierarchy process(AHP),a new method,named BDA-CAHP,is proposed to compute rank weights which considers the illegibility of scale when it depicts the importance of factors.The judgment matrix is separated into a consistency matrix and a disturb matrix,the process of the inconsistency adjustment is given based on a theoretical analysis of the disturb matrix.Finally,the case study shows that the new method is practical.

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