Skip to main content

A Link Diagram for Pairwise Comparisons

  • Conference paper
  • First Online:
Book cover Intelligent Decision Technologies 2018 (KES-IDT 2018 2018)

Part of the book series: Smart Innovation, Systems and Technologies ((SIST,volume 97))

Included in the following conference series:

Abstract

In decision making processes such as Analytic Hierarchy Process, weights of alternatives are derived from pairwise comparisons. I propose a link diagram to visualize pairwise comparisons and weights. In the diagram, each alternative is represented in a loop floating on the ground. Weights of alternatives are represented as heights of corresponding loops from the ground, and crossing of loops represents which alternative is superior or inferior. So, decision-makers can grasp roughly inconsistency of pairwise comparisons just by viewing the diagram.

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 129.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 169.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 169.99
Price excludes VAT (USA)
  • Durable hardcover 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. Bozóki, S., Fülöp, J.: Efficient weight vectors from pairwise comparison matrices. Eur. J. Oper. Res. 264(2), 419–427 (2018)

    Article  MathSciNet  Google Scholar 

  2. Bozóki, S., Fülöp, J., Rónyai, L.: On optimal completion of incomplete pairwise comparison matrices. Math. Comput. Modell. 52, 318–333 (2010)

    Article  MathSciNet  Google Scholar 

  3. Nishizawa, K.: A consistency improving method in binary AHP. J. Oper. Res. Soc. Jpn. 38(1), 21–33 (1995)

    Article  MathSciNet  Google Scholar 

  4. Saaty, T.L.: The Analytic Hierarchy Process. McGraw-Hill, New York (1980)

    MATH  Google Scholar 

  5. Saaty, T.L.: Fundamentals of Decision Making and Priority Theory. RWS Publication, Pittsburgh (1994)

    Google Scholar 

  6. Sekitani, K., Yamaki, N.: A logical interpretation for the eigenvalue method in AHP. J. Oper. Res. Soc. Jpn. 42, 219–232 (1999)

    Article  MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Takafumi Mizuno .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2019 Springer International Publishing AG, part of Springer Nature

About this paper

Check for updates. Verify currency and authenticity via CrossMark

Cite this paper

Mizuno, T. (2019). A Link Diagram for Pairwise Comparisons. In: Czarnowski, I., Howlett, R., Jain, L., Vlacic, L. (eds) Intelligent Decision Technologies 2018. KES-IDT 2018 2018. Smart Innovation, Systems and Technologies, vol 97. Springer, Cham. https://doi.org/10.1007/978-3-319-92028-3_19

Download citation

Publish with us

Policies and ethics