Skip to main content
SpringerLink
Log in

A New Method of Adjusting Inconsistent Pairwise Comparison Matrix

  • Conference paper
  • First Online:
Foundations of Intelligent Systems

Part of the book series: Advances in Intelligent Systems and Computing ((AISC,volume 277))

  • 1249 Accesses

Abstract

In this paper, we develop a new approach to adjust an inconsistent pairwise comparison matrix (PCM). By deriving the consistent matrices from given PCM and finding out maximum consistent set of PCM, the consistent benchmark matrix of given PCM is obtained. Then, we can adjust the inconsistency by linear combination of the original PCM and benchmark matrix. Considering the reality of new PCM, a possible threshold of the value of linear combination parameter is given a mention. Finally, an illustrative example is given to show the practicality of the method.

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

Access this chapter

Log in via an institution
Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 169.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 219.99
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

References

  1. Saaty TL (1980) The analytic hierarchy process. McGraw-Hill, New York

    MATH  Google Scholar 

  2. Saaty TL, Ozdemir M (2003) Negative priorities in the analytic hierarchy process. Math Comput Model 37(9–10):1063–1075

    Article  MATH  MathSciNet  Google Scholar 

  3. Forman EH, Selly MA (2001) Decision by objectives. World Scientific Publishing Co., New Jersey

    Book  Google Scholar 

  4. Vargas LG (1990) An overview of the analytic hierarchy process and its applications. Eur J Oper Res 48:2–8

    Article  Google Scholar 

  5. Acezel J, Saaty TL (1983) Procedures for synthesizing ratio judgments. J Math Psychol 27:93–102

    Article  Google Scholar 

  6. Chu MT (1998) On the optimal consistent approximation to pairwise comparison matrices. Linear Algebra Appl 272:155–168

    Article  MATH  MathSciNet  Google Scholar 

  7. Wang GH, Liang L (2001) A method of regulating judgment matrix according as consistent rule. Syst Eng 19(4):90–96

    MathSciNet  Google Scholar 

  8. Xu Z (2000) On consistency of the weighted geometric mean complex judgment matrix in AHP. Eur J Oper Res 126:683–687

    Article  MATH  Google Scholar 

  9. Anito J, Noel B (1998) Parametric linear programming and cluster analysis. Eur J Oper Res 111:582–588

    Article  MATH  Google Scholar 

  10. Stan L, Asher T (1999) Interval estimation of priorities in AHP. Eur J Oper Res 114:153–164

    Article  MATH  Google Scholar 

  11. Stoklasa J, Jandova V, Talasova J (2013) Weak consistency in Saaty’s AHP—evaluating creative work outcomes of Czech Art Colleges. Neural Netw World 23(1):61–67

    Google Scholar 

  12. Claude B (2001) The theory of graphs. Dover Publications, Dover

    MATH  Google Scholar 

Download references

Acknowledgments

This work was partially funded by the National Natural Science Foundation of China (NSFC) under Grant No. 71101076 and by the Social Science Foundation of Ministry of Education of the People’s Republic of China under Grant No. 10YJA630147.

Author information

Authors and Affiliations

  1. School of Business, Nantong University, Nantong, 226019, People’s Republic of China

    Guohua Wang, Zhe Cui & Jingxian Chen

  2. School of Management, University of Science and Technology of China, Hefei, 230026, People’s Republic of China

    Jingxian Chen & Liang Liang

Authors
  1. Guohua Wang
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Zhe Cui
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Jingxian Chen
    View author publications

    You can also search for this author in PubMed Google Scholar

  4. Liang Liang
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding authors

Correspondence to Guohua Wang or Zhe Cui .

Editor information

Editors and Affiliations

  1. College of Computer and Software Engineering, Shenzhen University, Shenzhen, China

    Zhenkun Wen

  2. School of Information Science and Technology, Southwest Jiaotong University, Chengdu, China

    Tianrui Li

Rights and permissions

Reprints and permissions

Copyright information

© 2014 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Wang, G., Cui, Z., Chen, J., Liang, L. (2014). A New Method of Adjusting Inconsistent Pairwise Comparison Matrix. In: Wen, Z., Li, T. (eds) Foundations of Intelligent Systems. Advances in Intelligent Systems and Computing, vol 277. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-54924-3_41

Download citation

  • DOI: https://doi.org/10.1007/978-3-642-54924-3_41

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-54923-6

  • Online ISBN: 978-3-642-54924-3

  • eBook Packages: EngineeringEngineering (R0)

Publish with us

Policies and ethics

Search

Navigation