A Concentration Ratio for Nonlinear Best Worst Method

Jafar Rezaei ()
Additional contact information
Jafar Rezaei: Faculty of Technology, Policy and Management, Delft University of Technology, 2628 BX Delft, the Netherlands

International Journal of Information Technology & Decision Making (IJITDM), 2020, vol. 19, issue 03, 891-907

Abstract: Best Worst Method (BWM) is a multi-criteria decision-making method that is based on a structured pairwise comparison system. It uses two pairwise comparison vectors (best-to-others and others-to-worst) as input for an optimization model to get the optimal weights of the criteria (or alternatives). The original BWM involves a nonlinear model that sometimes results in multiple optimal weights meaning that the weight of each criterion is presented as an interval. The aim of this paper is to introduce a ratio, called concentration ratio, to check the concentration of the optimal intervals obtained from the nonlinear BWM. The relationship between the concentration ratio and the consistency ratio is investigated and it is found that the concentration ratio along with the consistency ratio of the model provides enhanced insights into the reliability and flexibility of the results of BWM.

Keywords: Multi-criteria decision-making; best worst method (BWM); concentration; consistency (search for similar items in EconPapers)
Date: 2020
References: Add references at CitEc
Citations: View citations in EconPapers (21)

Downloads: (external link)
http://www.worldscientific.com/doi/abs/10.1142/S0219622020500170
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:19:y:2020:i:03:n:s0219622020500170

Ordering information: This journal article can be ordered from

DOI: 10.1142/S0219622020500170

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 ().