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| 基于Kendall W系数的交叉效率共识一致性模型 |
| Cross-Efficiency Consensus Consistency Model based on Kendall's W Coefficient |
| 投稿时间：2025-05-12 修订日期：2025-06-22 |
| DOI： |
| 中文关键词: 数据包络分析 交叉效率 共识一致性 Kendall W系数 |
| 英文关键词: DEA Cross-efficiency Consensus consistency Kendall's W coefficient |
| 基金项目:国家自然科学基金(72071066),教育部人文社会科学研究青年基金(20YJC630029),安徽省自然科学基金(2008085MG228),安徽省高校省级自然科学研究项目(2023AH010020),安徽建筑大学科研基金(JZ201416).. |
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| 中文摘要: |
| 交叉效率评价方法将自我评价与同行评价相结合,弥补了传统CCR模型无法完全排序的缺点,但在评价过程中没有考虑决策单元之间的共识。利用Kendall W系数构建一个交叉效率共识一致性模型,使决策单元在聚合过程中达到共识。首先,用交叉效率模型得到交叉效率矩阵。然后,根据最小调整共识模型和Kendall W系数提出共识一致性模型,提高交叉效率聚合过程中决策单元之间的共识一致性程度。通过算例说明和验证所提出共识机制的适用性。结果表明,共识调整后与传统聚合的排序具有显著差异,显示出更强的共识一致性。 |
| 英文摘要: |
| The cross-efficiency evaluation method, which integrates self-evaluation and peer evaluation, addresses the limitation of incomplete ranking in traditional CCR models. However, conventional cross-efficiency methods neglect the consensus among decision-making units (DMUs) during the evaluation process. This study proposes a novel approach to enhance consensus management in aggregation by synergizing the cross-efficiency model with Kendall’s W coefficient. First, a cross-efficiency matrix is derived using the cross-efficiency model. Subsequently, a consensus consistency model is proposed by integrating the minimum adjustment consensus framework with Kendall’s W coefficient, aiming to improve the degree of consensus consistency among DMUs in cross-efficiency aggregation. Numerical case studies demonstrate the applicability of the proposed consensus mechanism. The results reveal that the post-adjustment ranking significantly differs from the direct aggregation ranking, demonstrating a stronger degree of consensus consistency. |
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