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Abstract
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In most multi-criteria decision-making methods, several
options are ranked according to numerous criteria. In the
decision-making process, experts often determine the importance
weight of the criteria by comparing them to each other or with ideal solutions. With increasing criteria, the decision-making process becomes more complex, and the compatibility of judgments is reduced. Another problem is the inadequacy of criteria at different levels of the decision-making process. A high-level criterion can be considered, which includes several sub-criteria. The sub-criteria considered may not include all of the possible sub-criteria because they could be unknown to decision-makers or could not be measured and used by decision-makers. Hence, the assumption that the importance weight of the sub-criteria equals one (for example, in the analytic hierarchy process method) may not always be accurate. In this article, a new decision-making method is proposed based on Shapley’s value that can extract the importance weight of criteria at different levels by considering the consistency between sub-criteria. Additionally, an interactive top–down decision-making
approach is presented for compatible judgments. The proposed
method is applied to determine the importance weights of criteria in a sustainable supplier selection problem, and we show how the method could facilitate the extraction of the importance weight and address the inadequacy and dependency properties between the criteria.
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