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.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
Bozóki, S., Fülöp, J.: Efficient weight vectors from pairwise comparison matrices. Eur. J. Oper. Res. 264(2), 419–427 (2018)
Bozóki, S., Fülöp, J., Rónyai, L.: On optimal completion of incomplete pairwise comparison matrices. Math. Comput. Modell. 52, 318–333 (2010)
Nishizawa, K.: A consistency improving method in binary AHP. J. Oper. Res. Soc. Jpn. 38(1), 21–33 (1995)
Saaty, T.L.: The Analytic Hierarchy Process. McGraw-Hill, New York (1980)
Saaty, T.L.: Fundamentals of Decision Making and Priority Theory. RWS Publication, Pittsburgh (1994)
Sekitani, K., Yamaki, N.: A logical interpretation for the eigenvalue method in AHP. J. Oper. Res. Soc. Jpn. 42, 219–232 (1999)
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2019 Springer International Publishing AG, part of Springer Nature
About this paper
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
DOI: https://doi.org/10.1007/978-3-319-92028-3_19
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-92027-6
Online ISBN: 978-3-319-92028-3
eBook Packages: Intelligent Technologies and RoboticsIntelligent Technologies and Robotics (R0)