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Rezaei, J. (2016). Best-worst multi-criteria decision-making method:some properties and a linear model. Omega, 64, 126–130. Added by: Klaus D. Goepel (10 Jun 2019 04:29:34 Asia/Singapore) |
| Resource type: Journal Article DOI: 10.1016/j.omega.2015.12.001 BibTeX citation key: Rezaei2016 Email resource to friend View all bibliographic details  |
Categories: Decision Making Keywords: best worst method (BWM), interval analysis, multi-criteria decision-making Creators: Rezaei Publisher: Elsevier Collection: Omega |
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| Abstract |
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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.
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