 Best-worst multi-criteria decision-making method: Some properties and a linear modelJafar Rezaei Omega, 2016, vol. 64, issue C, 126-130 Abstract: The Best Worst Method (BWM) is a multi-criteria decision-making method that uses two vectors of pairwise comparisons to determine the weights of criteria. First, the best (e.g. most desirable, most important), and the worst (e.g. least desirable, least important) criteria are identified by the decision-maker, after which the best criterion is compared to the other criteria, and the other criteria to the worst criterion. A non-linear minmax model is then used to identify the weights such that the maximum absolute difference between the weight ratios and their corresponding comparisons is minimized. The minmax model may result in multiple optimal solutions. Although, in some cases, decision-makers prefer to have multiple optimal solutions, in other cases they prefer to have a unique solution. The aim of this paper is twofold: firstly, we propose using interval analysis for the case of multiple optimal solutions, in which we show how the criteria can be weighed and ranked. Secondly, we propose a linear model for BWM, which is based on the same philosophy, but yields a unique solution. Keywords: Best worst method (BWM); Multi-criteria decision-making (MCDM); Interval analysis (search for similar items in EconPapers) Downloads: (external link) Related works: Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text Persistent link: https://EconPapers.repec.org/RePEc:eee:jomega:v:64:y:2016:i:c:p:126-130 Ordering information: This journal article can be ordered from DOI: 10.1016/j.omega.2015.12.001 Access Statistics for this article Omega is currently edited by B. Lev More articles in Omega from Elsevier |
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