Influence of aggregation and measurement scale on ranking a compromise alternative in AHP
AbstractAnalytic Hierarchy Process (AHP) is one of the most popular multi-attribute decision aid methods. However, within AHP, there are several competing preference measurement scales and aggregation techniques. In this paper, we compare these possibilities using a decision problem with an inherent trade-off between two criteria. A decision-maker has to choose among three alternatives: two extremes and one compromise. Six different measurement scales described previously in the literature and the new proposed logarithmic scale are considered for applying the additive and the multiplicative aggregation techniques. The results are compared with the standard consumer choice theory. We find that with the geometric and power scales a compromise is never selected when aggregation is additive and rarely when aggregation is multiplicative, while the logarithmic scale used with the multiplicative aggregation most often selects the compromise that is desirable by consumer choice theory.
Download InfoIf you experience problems downloading a file, check if you have the proper application to view it first. In case of further problems read the IDEAS help page. Note that these files are not on the IDEAS site. Please be patient as the files may be large.
Bibliographic InfoPaper provided by University Library of Munich, Germany in its series MPRA Paper with number 19563.
Date of creation: 20 Dec 2009
Date of revision:
AHP; Multi-criteria Decision analysis;
Other versions of this item:
- Alessio Ishizaka & Dieter Balkenborg & Todd Kaplan, 2005. "Influence of aggregation and measurement scale on ranking a compromise alternative in AHP," Discussion Papers 0506, Exeter University, Department of Economics.
- C60 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - General
This paper has been announced in the following NEP Reports:
- NEP-ALL-2010-01-16 (All new papers)
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
- Stam, Antonie & Duarte Silva, A. Pedro, 2003. "On multiplicative priority rating methods for the AHP," European Journal of Operational Research, Elsevier, vol. 145(1), pages 92-108, February.
- Vaidya, Omkarprasad S. & Kumar, Sushil, 2006. "Analytic hierarchy process: An overview of applications," European Journal of Operational Research, Elsevier, vol. 169(1), pages 1-29, February.
- Patrick T. Harker & Luis G. Vargas, 1987. "The Theory of Ratio Scale Estimation: Saaty's Analytic Hierarchy Process," Management Science, INFORMS, vol. 33(11), pages 1383-1403, November.
- Lootsma, F. A. & Mensch, T. C. A. & Vos, F. A., 1990. "Multi-criteria analysis and budget reallocation in long-term research planning," European Journal of Operational Research, Elsevier, vol. 47(3), pages 293-305, August.
- Robert L. Winkler, 1990. "Decision Modeling and Rational Choice: AHP and Utility Theory," Management Science, INFORMS, vol. 36(3), pages 247-248, March.
- Vargas, Luis G., 1990. "An overview of the analytic hierarchy process and its applications," European Journal of Operational Research, Elsevier, vol. 48(1), pages 2-8, September.
- Alessio Ishizaka & Markus Lusti, 2006. "How to derive priorities in AHP: a comparative study," Central European Journal of Operations Research, Springer, vol. 14(4), pages 387-400, December.
- Lootsma, F. A., 1989. "Conflict resolution via pairwise comparison of concessions," European Journal of Operational Research, Elsevier, vol. 40(1), pages 109-116, May.
- Thomas L. Saaty, 1990. "An Exposition of the AHP in Reply to the Paper "Remarks on the Analytic Hierarchy Process"," Management Science, INFORMS, vol. 36(3), pages 259-268, March.
- Ishizaka, Alessio & Balkenborg, Dieter & Kaplan, Todd R, 2010. "Does AHP help us make a choice? - An experimental evaluation," MPRA Paper 24213, University Library of Munich, Germany.
- Siraj, S. & Mikhailov, L. & Keane, J.A., 2012. "Preference elicitation from inconsistent judgments using multi-objective optimization," European Journal of Operational Research, Elsevier, vol. 220(2), pages 461-471.
For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Ekkehart Schlicht).
If references are entirely missing, you can add them using this form.