Skip to main content

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

  • Conference paper
Information Computing and Applications (ICICA 2011)

Part of the book series: Lecture Notes in Computer Science ((LNISA,volume 7030))

Included in the following conference series:

  • 2438 Accesses

Abstract

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.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 39.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 54.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Huang, D.-c., Xu, L.: Proportion Criteria and Method for Building Comparison Matrices in the Analytic Hierarchy Process. Control and Decision 04, 484–486 (2002)

    Google Scholar 

  2. Chen, J.-x., Luo, W.-q., Pang, S.-l.: A New Standard of Consistent for Comparison Matrix in the AHP. Mathematics in Practice and Theory 20, 213–216 (2010)

    MATH  Google Scholar 

  3. Wu, Z.-k., Qu, S.-j.: A Valid Method for Adjusting Inconsistency Judgment Matrix in AHP. Journal of Qingdao Agricultural University (Natural Science) 02, 160–162 (2008)

    Google Scholar 

  4. Guo, Z.-m.: A New Method for Improving the Consistency of the Judgement Matrix in AHP. Journal of Qiqihar University (Natural Science Edition) 06, 84–86 (2010)

    Google Scholar 

  5. Han, L.-l., Li, J.-q.: The New Method of Comparison Matrix Consistency Checking. Journal of Qufu Normal University (Natural Science) 03, 44–46 (2002)

    MATH  Google Scholar 

  6. Wu, S.-h., Guo, N.-l.: A Method for Improving the Consistency Check in AHP. Journal of Projectiles, Rockets, Missiles and Guidance S9, 1059–1060 (2006)

    Google Scholar 

  7. Guo, P., Zheng, W.-w.: Certain Improvements in Application of AHP. Systems Engineering 01, 28–31 (1995)

    Google Scholar 

  8. Yue, L.-z.: Another Method of Testing Judgement Matrix Uniformity. Journal of Shenyang Institute of Chemical Technology 02, 139–144 (1991)

    Google Scholar 

  9. Zhou, X.-h., Zhang, J.-j.: Generalized Consistency Transformation of Judgement Matrix and a Algorithm of Ranking. Journal of Zhejiang University (Science Edition) 02, 157–162 (2011)

    Google Scholar 

  10. Zhang, G.-q., Chen, Y.-h.: A New Method for Improving the Consistency of the Comparison Matrix in AHP. Mathematics in Practice and Theory 23, 140–146 (2009)

    Google Scholar 

  11. Cai, M.-y., Gong, S.-w., Li, X.-b.: Technique of Human Error Failure Analysis Based on Analytic Hierarchy Process. Journal of Safety Science and Technology 02, 74–77 (2008)

    Google Scholar 

  12. Zhang, X., Li, G., Xiong, W.-q.: Particle Swarm Optimization for Correcting Judgment Matrix Consistency in Analytic Hierarchy Process. Computer Engineering and Applications 36, 43–47 (2010)

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2011 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Fan, Q., Liu, B., Zhang, Y., Zhou, R. (2011). An Algorithm of Improving the Consistence of the Positive Reciprocal Matrix Based on Relative Error. In: Liu, B., Chai, C. (eds) Information Computing and Applications. ICICA 2011. Lecture Notes in Computer Science, vol 7030. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-25255-6_23

Download citation

  • DOI: https://doi.org/10.1007/978-3-642-25255-6_23

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-25254-9

  • Online ISBN: 978-3-642-25255-6

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics