The Best-Worst Method (BWM) is a Multi-Criteria Decision Making (MCDM) method that has recently been introduced. The original BWM assumes that decision-makers are always certain about their judgments even if, in reality, decision-makers often express uncertain preferences. To deal with uncertainty, we introduce a belief structure in the BWM, a concept involving the preference degree adopted via Dempster-Shafer theory. A new approach is proposed to allow BWM to cope with this kind of information, where the level of belief in preferences being expressed is taken into account. In addition, an inconsistency measurement and an uncertainty measurement are proposed for the belief-based BWM, providing the foundation for a reliability degree of the decision-makers, after which the belief-based BWM is extended to include a group of decision-makers. Based on their reliability degrees and the weights of the criteria obtained from the various individuals, the overall criteria weights can be aggregated accordingly. Finally, a case study on the assessment of the infrastructure project criteria system in Indonesia is provided to demonstrate the applicability and feasibility of the proposed method.

中文翻译：

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基于信念的最佳最差方法

最佳最差方法 (BWM) 是最近引入的一种多标准决策 (MCDM) 方法。最初的 BWM 假设决策者总是对他们的判断是确定的，即使在现实中，决策者经常表达不确定的偏好。为了处理不确定性，我们在 BWM 中引入了一个信念结构，这是一个涉及通过 Dempster-Shafer 理论采用的偏好度的概念。提出了一种新方法以允许 BWM 处理此类信息，其中考虑了对所表达的偏好的信念水平。此外，对基于信念的BWM提出了不一致性度量和不确定性度量，为决策者的可靠程度提供了基础，然后将基于信念的BWM扩展到包括一组决策者。根据他们的可靠程度和从不同个体获得的标准的权重，可以相应地聚合总体标准权重。最后，通过对印度尼西亚基础设施项目标准体系评估的案例研究，证明了该方法的适用性和可行性。