Abstract

The Best Worst Method (BWM) represents a powerful tool for multi-criteria decision-making and defining criteria weight coefficients. However, while solving real-world problems, there are specific multi-criteria problems where several criteria exert the same influence on decision-making. In such situations, the traditional postulates of the BWM imply the defining of one best criterion and one worst criterion from within a set of observed criteria. In this paper, an improvement of the traditional BWM that eliminates this problem is presented. The improved BWM (BWM-I) offers the possibility for decision-makers to express their preferences even in cases where there is more than one best and worst criterion. The development enables the following: (1) the BWM-I enables us to express experts’ preferences irrespective of the number of the best/worst criteria in a set of evaluation criteria; (2) the application of the BWM-I reduces the possibility of making a mistake while comparing pairs of criteria, which increases the reliability of the results; and (3) the BWM-I is characterized by its flexibility, which is expressed through the possibility of the realistic processing of experts’ preferences irrespective of the number of the criteria that have the same significance and the possibility of the transformation of the BWM-I into the traditional BWM (should there be a unique best/worst criterion). To present the applicability of the BWM-I, it was applied to defining the weight coefficients of the criteria in the field of renewable energy and their ranking.

Highlights

  • In everyday life, we meet and analyze problems to find an optimal solution, i.e., the task of optimization

  • We introduce a six-dimensional model in order to define the weights of the drivers for renewable energy sources, as shown in Figure 1, in which several criteria are considered for each dimension

  • The authors believe that the presented analysis shows the stability and robustness of the modified Best Worst Method (BWM) methodology

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Summary

Introduction

We meet and analyze problems to find an optimal solution, i.e., the task of optimization. We meet them almost everywhere—in technical and economic systems, in the family, and elsewhere. The decision-making process and the choice of “the best” alternative is most frequently based on the analysis of more than one criterion and a series of limitations. The essence of the problem of MCDM is reduced to the ranking of an alternative from within the considered set by applying specific mathematical tools and/or logical preferences. A decision is made on the choice of the best alternative, taking into consideration different evaluation criteria. MCDM is an integral part of the contemporary science of decision-making and the science of management and systems engineering, which has broadly

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