兼顾影响力与共识度的混合信息集成框架求解方法及应用
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C934

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国家自然科学基金项目 (72171041, 72171040);辽宁省自然科学基金优秀青年基金项目 (2024JH3/10200008);中央高校基本科研业务费专项资金项目 (N25QNR003, N25ZLL013).


Hybrid information integration framework solving method balancing influence and consensus and applications
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    摘要:

    针对混合信息共存的评价问题, 从综合集成的视角探索混合信息集成框架的构建原则与流程, 并面向混合信息集成框架, 提出一种兼顾专家信息的影响力与共识度的求解方法. 首先, 基于随机模拟技术求解各信息支流的优胜度矩阵; 其次, 融合DEMATEL方法与优胜度矩阵求解得到体现专家信息影响力的信息支流外部权重; 然后, 基于序关系分析法及共识差异度的衡量, 给出体现专家信息共识度的信息流内部权重求解方法; 最后, 将外部、内部权重与相应的优胜度矩阵进行合成求解, 得到体现被评价对象优劣关系的整体优胜度矩阵, 并据此推导出被评价对象之间带有概率信息的可能性排序结论. 通过与两个算例结论的对比分析, 验证了所提出方法的有效性, 并发现该方法具有提升评价结论群体共识度且凸显被评价对象之间优胜差异的特征. 对混合信息集成框架的构建流程进行系统梳理与总结, 从提高信息影响力与共识度的视角进一步丰富混合信息集成框架求解的方法体系, 所提出方法在允许多样性及个性化表达判断意见的复杂多属性决策、(大规模) 群决策、民主决策等问题中有较好的应用前景.

    Abstract:

    Regarding the evaluation problem of hybrid information coexistence, this paper explores the construction principle and process of a hybrid information integration framework from the perspective of comprehensive integration, and proposes a solution method that takes into account the influence and consensus of expert information. Firstly, based on the stochastic simulation technique, the superiority matrix of each information tributary is solved; Secondly, the external weights of the information tributaries reflecting the influence of experts are obtained by integrating the DEMATEL method with the solving of the superiority matrix; Then, based on the sequential relationship analysis and the consensus discrepancy degree, a method of solving the internal weights of the information tributaries reflecting the degree of consensus of experts is given; Finally, the external and internal weights are synthesized with the corresponding superiority matrix to obtain the overall superiority matrix reflecting the superiority relationship of the evaluated objects, and the conclusion of the possibility ranking with probabilistic information among the evaluated objects is deduced. The validity of the proposed method is verified through comparative analysis with the conclusions of the two cases, and it is found that the method has the characteristics of enhancing the group consensus degree of the conclusions and highlighting the differences in superiority between the evaluated objects. This research comprehends and summarizes the construction process of the hybrid information integration framework, and further enriches the methodology system of hybrid information integration framework solution from the perspective of improving the influence and consensus of information. The proposed method has good application prospects in complex multi-attribute decision-making, (large-scale) group decision-making, democratic decision-making, etc., which allow diverse and personalized expression of judgments.

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李伟伟,崔文龙,易平涛,等.兼顾影响力与共识度的混合信息集成框架求解方法及应用[J].控制与决策,2025,40(10):3042-3054

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  • 收稿日期:2025-03-28
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  • 在线发布日期: 2025-09-09
  • 出版日期: 2025-10-20
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