Best-Worst method (BWM) is a new multi-criteria decision-making method based on pairwise comparisons, but only the comparisons concerning the best and the worst alternatives or criteria. This method shows some significant advantages in the simplicity with a less requirement of comparison data and reliability with better consistency. This paper proposes a new consistency measure method based on the distance of the vectors of reference comparisons in BWM because the difference of the preference in two vectors directly affects the reliability of results. Through the establishment of the threshold of consistency ratio, we supplement the definition of satisfactory consistency of the comparisons in BWM. With comparisons satisfying the acceptable consistency, we use linear programming models to find all possible priority weights between the preferences given by decision maker and derive interval weights. For comparisons with unacceptable consistency, another approach is presented to find the interval weights meeting the consistent requirement. At last, several examples are used to illustrate the details of process.

中文翻译：

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Best-Worst多准则决策方法的基于距离的一致性度量和优先权权重

Best-Worst Method (BWM) 是一种新的基于成对比较的多标准决策方法，但仅比较最佳和最差备选方案或标准。该方法具有简单性、对比较数据要求少、可靠性好、一致性好等显着优点。由于两个向量的偏好差异直接影响结果的可靠性，本文提出了一种新的基于参考比较向量距离的一致性度量方法。通过一致性比阈值的建立，补充了BWM中比较满意一致性的定义。通过满足可接受一致性的比较，我们使用线性规划模型在决策者给出的偏好之间找到所有可能的优先权重，并得出区间权重。对于不可接受的一致性比较，提出了另一种方法来找到满足一致性要求的区间权重。最后用几个例子来说明过程的细节。