Abstract

This paper endeavors to measure the consistency of a decision-making tool, popularly known as Best Worst Method (BWM), which is one of the latest developments in multiple-criteria decision analysis (MCDA). BWM is finding a vast arra of applications in the literature. Several investigators have extended this tool. BWM measures the weight of decision-making criterion and is recognized as a subjective decision tool. The first step in this method is to find the best and worst criterion, while we suppose several experts are asked to present their evaluation over set of criteria. The aim is to measure how these judgments are consistent and reliable. So, we statistically (using χ2 distribution) add a pre-evaluation to experts’ opinion and analyze whether the agreement of experts’ opinions is satisfactory and group opinion is established. This action improves the quality of the decision-making process by incorporating the reliability evaluation of experts’ idea. This extension for BWM helps decision makers in facilitating and getting results that are more consistent for criteria evaluation. We present examples in sustainable construction and architecture project.

Highlights

  • Improving and extending decision-making tools is very popular among the academic community and researchers

  • One method that was under investigation many times is analytical hierarchy procees (AHP) (Alonso & Lamata, 2006; Xu, 2000; Aguarón, Escobar, & Moreno-Jiménez, 2016)

  • Like AHP which is a subjective decision making tool, (Rezaei, 2015) invented a new algorithm that operates based on a linear programing model

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Summary

Introduction

Improving and extending decision-making tools is very popular among the academic community and researchers. Range of studies have been conducted to show the quality of decision-making increases when the consistency improves. This issue in multi attribute decision making is highlighted since decades. Like AHP which is a subjective decision making tool, (Rezaei, 2015) invented a new algorithm that operates based on a linear programing model. The approach confirms the consistency of the method and allows decision makers go forward and rely on the results. In this paper we are going to apply the recent approach for BWM in order to check its usability and performance. Second section presents the algorithm, an example about evaluating sustainable building factors are provided and a conclusion ends the debate

Improved BWM method
An example of the proposed technique
Conclusions

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