Consistency issues in the best worst method: Measurements and thresholds

By Fuqi Liang, Matteo Brunelli, Jafar Rezaei. 2020

320 citations recorded by the source corpus.

The Best-Worst Method (BWM) uses ratios of the relative importance of criteria in pairs based on the assessment done by decision-makers. When a decision-maker provides the pairwise comparisons in BWM, checking the acceptable inconsistency, to ensure the rationality of the assessments, is an important step. Although both the original and the extended versions of BWM have proposed several consistency measurements, there are some deficiencies, including: (i) the lack of a mechanism to provide immediate feedback to the decision-maker regarding the consistency of the pairwise comparisons being provided, (ii) the inability to consider the ordinal consistency into account, and (iii) the lack of consistency thresholds to determine the reliability of the results. To deal with these problems, this study starts by proposing a cardinal consistency measurement to provide immediate feedback, called the input-based consistency measurement, after which an ordinal consistency measurement is proposed to check the coherence of the order of the results (weights) against the order of the pairwise comparisons provided by the decision-maker. Finally, a method is proposed to balance cardinal consistency ratio under ordinal-consistent and ordinal-inconsistent conditions, to determine the thresholds for the proposed and the original consistency ratios.

Subfields: Control and Systems Engineering, Management Science and Operations Research, Statistics and Probability

View Paper: https://www.semanticscholar.org/paper/cffd929167186f3d4c197e09f5a2e54e29513bd9

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Control and Systems Engineering

1. Francisco Javier Santos-Arteaga
2. Madjid Tavana
3. Mehdi Soltanifar

In Management Science and Operations Research

1. Francisco Javier Santos-Arteaga
2. Madjid Tavana
3. Mehdi Soltanifar

In Statistics and Probability

1. Francisco Javier Santos-Arteaga
2. Madjid Tavana
3. Mehdi Soltanifar

Citations in the corpus

• Analytical hierarchy process: revolution and evolution (2021, methodology): “The BWM, presented by Rezaei (2015), constitutes another criteria weighting technique that has become quite popular in the literature (Ahmadi et al., 2017; Delice & Can, 2020; Liang et al., 2020; Rezaei, 2016; Rezaei et al., 2015, 2016).”