考虑风险偏好的量子群共识融合方法
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南京信息工程大学

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C934

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江苏省社会科学基金项目(23GLB006); 国家自然科学基金项目(72471124、72371137、71801085)


A quantum group consensus fusion method considering risk preference
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Social Science Fund Project of Jiangsu Province (23GLB006), National Natural Science Foundation of China (72471124、72371137、71801085).

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    摘要:

    在不确定复杂社交网络决策背景下, 决策者之间的风险偏好差异以及决策源之间的相互干扰对群体共识的达成存在显著影响. 针对这一问题, 本文提出了一种考虑风险偏好的量子群共识模型. 首先, 构建风险匹配函数以量化决策者之间的风险相似特性, 并结合 K-shell 算法和 Shapley 值测度节点综合影响力, 然后在此基础上结合风险匹配度计算决策者的权重. 其次, 构建了一个基于最小调整成本的考虑量子干扰的群共识模型, 考虑个体偏好与群体偏好两条路径间的干扰效应, 从而动态促进群共识的达成. 此外, 基于证据理论融合群体的属性偏好, 确定属性权重, 并计算各备选方案的优势值以进行排序. 最后, 通过低空救援的算例验证模型的有效性, 并结合对比分析, 敏感性分析与仿真分析, 评估所提出模型的鲁棒性与适用性. 研究结果表明, 本文提出的模型能够有效解决不确定决策过程中决策源之间的干扰问题, 提升群体共识的效率与质量.

    Abstract:

    In the context of uncertain and complex social network decision-making, the differences in risk preferences among decision-makers (DMs) and the mutual interferences between decision sources have a significant impact on the achievement of group consensus. This paper proposes a quantum group consensus model for risk preference, combining evidence fusion approaches to address this issue. Firstly, a risk matching function is constructed to quantify the risk similarity among decision-makers, and combined with the K-shell algorithm and Shapley value to measure the comprehensive influence of nodes, on this basis, the weights of DMs are calculated with the risk matching degree. Secondly, a group consensus model incorporating quantum interference based on minimum adjustment costs is constructed, considering the interferences between individual and group preferences to dynamically facilitate consensus. In addition, based on the Dempster-Shafer evidence theory, the attribute preferences of the group are integrated, the attributes’ weights are determined, and the advantage values of alternatives are calculated for ranking. Finally, the proposed model is validated through a case study involving the configuration of low-altitude rescue equipment. The robustness and applicability of the model are evaluated via comparative analysis, sensitivity analysis, and simulation experiments. The results demonstrate that the proposed method effectively addresses the interference problem among decision sources under uncertainty, and improves the efficiency and quality of group consensus.

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  • 收稿日期:2025-10-14
  • 最后修改日期:2026-03-01
  • 录用日期:2026-03-02
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