arXiv:2605.08991cs.AIecon.EM2026-05

提出启发式评分估计法的适用条件,确保评分结果准确可靠。

Sufficient conditions for a Heuristic Rating Estimation Method application

  • 给出算术与几何算法在完整和不完整比较下的应用条件
  • 算术变体的不一致性估计结果最优
  • 适合需要可信评分的决策分析场景

一系列论文提出了启发式评分估计(HRE)方法,基于成对比较和参考方案的权重来评估一组备选方案。本文给出了HRE方法正确应用的充分条件,研究了完整与不完整成对比较下算术与几何算法的适用性。通过实例验证,算术变体在不一致性估计方面表现最优,确保了评分结果的可靠性。

原文摘要 · Abstract (English)

A series of papers has introduced the Heuristic Rating Estimation method, which evaluates a set of alternatives based on pairwise comparisons and the weights of reference alternatives. We formulate the conditions under which the HRE method can be applied correctly. The research considers both arithmetic and geometric algorithms for complete and incomplete pairwise comparison methods. The illustrative examples show that the estimations of inconsistency in the arithmetic variant are optimal.

评分估计成对比较决策分析

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