基于参考值的几何平均成对比较方法——统计方法
Geometric mean-based pairwise comparison method with the reference values -- statistical approach
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中文总结 AI 辅助
本文从统计视角出发，利用参考值和几何平均提出成对比较方法，可捕捉不一致现象与偏好距离，还定义了衡量权重向量质量的指标，为涉及专家的决策提供新方法和指标。
中文摘要 AI 辅助
多年来，成对比较方法广泛用于涉及专家的决策。最著名的例子是层次分析法（AHP），通过比较矩阵的主特征向量计算备选方案权重。本文提出成对比较方法的统计视角，利用参考值和几何平均计算备选方案优先级，能同时捕捉成对比较中的不一致现象和备选方案间的偏好距离。文中定义了衡量所得权重向量质量的指标，基于统计方法，这些指标有清晰直观的解释。
英文摘要
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.
发表机构
- AGH University of Krakow, WEAiIB（克拉科夫AGH大学，WEAiIB）
- AGH University of Krakow, WMS（克拉科夫AGH大学，WMS）
机构由 AI 辅助整理，请以论文原文为准。
