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The Interactive Weighting Method Concerning Consistency, Inadequacy, Complementary and Supplementary Properties of Criteria | IEEE Journals & Magazine | IEEE Xplore

The Interactive Weighting Method Concerning Consistency, Inadequacy, Complementary and Supplementary Properties of Criteria


Abstract:

In most multicriteria decision-making methods, several options are ranked according to numerous criteria. In the decision-making process, experts often determine the impo...Show More

Abstract:

In most multicriteria 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 subcriteria. The subcriteria considered may not include all of the possible subcriteria 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 subcriteria 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 subcriteria. 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.
Published in: IEEE Transactions on Engineering Management ( Volume: 69, Issue: 5, October 2022)
Page(s): 2014 - 2025
Date of Publication: 17 June 2020

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