An Algorithm of Improving the Consistence of the Positive Reciprocal Matrix Based on Relative Error

  • Qiuhong Fan
  • Baoxiang Liu
  • Yuhuan Zhang
  • Ruiying Zhou
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 7030)


By analyzing the inconsistent relationship between the small triangular matrix and positive reciprocal matrix, a convenient correction method based on the relative error is brought up. This method can fully retain the effective information of original positive reciprocal matrix. It helps people to solve practical problems effectively and enriches the theories and methods of decision analysis.


positive reciprocal matrix consistency examination ER correction method small triangular matrix 


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Copyright information

© Springer-Verlag Berlin Heidelberg 2011

Authors and Affiliations

  • Qiuhong Fan
    • 1
  • Baoxiang Liu
    • 1
  • Yuhuan Zhang
    • 2
  • Ruiying Zhou
    • 2
  1. 1.College of ScienceHebei United UniversityTangshanChina
  2. 2.College of Light IndustryHebei United UniversityTangshanChina

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