用几何平均与参考值改进排序方法，同时衡量不一致性和偏好距离
Geometric mean-based pairwise comparison method with the reference values -- statistical approach
- 基于几何平均和参考值构建统计化比较框架
- 可同时量化判断不一致性和备选方案间偏好距离
- 适合需要评估权重质量的决策分析场景
长期以来，成对比较法广泛应用于决策问题中的偏好获取与方案排序。该方法从成对比较矩阵中估计优先权重，已成为多准则决策分析的标准工具。本文提出一种结合参考值与几何平均的统计视角下的成对比较方法，用于计算备选方案的优先权重。通过该方法，能够同时捕捉成对比较中的不一致性现象以及不同备选方案间的偏好距离。本文定义了若干指标来衡量所得权重向量的质量，这些指标在统计框架下具有明确的解释意义。
原文摘要 · Abstract (English)
For many years, pairwise comparison methods have been widely used for eliciting preferences and ranking alternatives in decision-making problems. These methods estimate priority weights from a pairwise comparison matrix and are now standard tools in multi-criteria decision analysis. In this paper, we present a statistical view of the pairwise comparison method using reference values and the geometric mean to calculate alternative priorities. Thanks to this approach, we can simultaneously capture the phenomenon of inconsistency in pairwise comparisons and the preference distance between different alternatives. In this paper, we define indicators that measure the quality of the obtained weight vector, which, thanks to the statistical approach, have an understandable interpretation.
Thank you to arXiv for use of its open access interoperability. PaperDance 不是 arXiv 官方产品；中文卡片由大模型生成，请以原文为准。