Modeling Group Perceptions Using Stochastic Simulation: Scaling Issues in the Multiplicative AHP

Michael Bruhn Barfod, Robin van den Honert () and Kim Bang Salling
Additional contact information
Michael Bruhn Barfod: Department of Transport, Technical University of Denmark, Bygningstorvet 115, DK-2800 Kgs. Lyngby, Denmark
Robin van den Honert: #x2020;Risk Frontiers – Natural Hazards Research Centre, Macquarie University, North Ryde, NSW 2109, Australia
Kim Bang Salling: Department of Transport, Technical University of Denmark, Bygningstorvet 115, DK-2800 Kgs. Lyngby, Denmark

International Journal of Information Technology & Decision Making (IJITDM), 2016, vol. 15, issue 02, 453-474

Abstract: This paper proposes a new decision support approach for applying stochastic simulation to the multiplicative analytic hierarchy process (AHP) in order to deal with issues concerning the scale parameter. The paper suggests a new approach that captures the influence from the scale parameter by making use of probability distributions. Herein, the uncertainty both with regard to the scale and the inherent randomness from the parameter is captured by probabilistic input and output distributions. Provided that each alternative and criteria under consideration are independent it is assumed that the embedded uncertainty from the progression factors remains the same. The result is then an interval estimate for each alternative’s final scores. This can lead to overlapping intervals of scores which may be interpreted as possible rank reversals. Thus, the decision support approach makes it possible to calculate the probability of overlapping for any given set of pairwise comparisons.

Keywords: Decision support; multi-criteria decision analysis; multiplicative AHP; stochastic simulation (search for similar items in EconPapers)
Date: 2016
References: View references in EconPapers View complete reference list from CitEc
Citations:

Downloads: (external link)
http://www.worldscientific.com/doi/abs/10.1142/S0219622016500103
Access to full text is restricted to subscribers

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:wsi:ijitdm:v:15:y:2016:i:02:n:s0219622016500103

Ordering information: This journal article can be ordered from

DOI: 10.1142/S0219622016500103

Access Statistics for this article

International Journal of Information Technology & Decision Making (IJITDM) is currently edited by Yong Shi

More articles in International Journal of Information Technology & Decision Making (IJITDM) from World Scientific Publishing Co. Pte. Ltd.
Bibliographic data for series maintained by Tai Tone Lim ().