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基于“相似-信任”关系的异质偏好大群体融合共识达成方法

陈晓红, 杨子禹, 徐选华   

  1. 中南大学商学院, 湖南 410083 中国
    湘江实验室, 湖南 410205 中国
    湖南工商大学前沿交叉学院, 湖南 410205 中国
  • 收稿日期:2026-01-24 修回日期:2026-07-20 接受日期:2026-08-04
  • 通讯作者: 徐选华
  • 基金资助:
    国家自然科学基金卓越研究群体项目(72088101); 国家自然科学基金重大项目(72293574); 湘江实验室重大项目(23XJ01005); 湖南省研究生科研创新项目(CX20250466)

Similarity–Trust Relationship Based Fused Consensus Reaching Method for Large-Scale Group Decision Making with Heterogeneous Preferences

  1. , 410083, China
    , 410205, China
  • Received:2026-01-24 Revised:2026-07-20 Accepted:2026-08-04

摘要: 作为智慧城市治理的核心组成部分,灾害应急管理需要快速且可靠的决策支持,但往往受到诸多实际挑战的制约。为此,本文提出了一种基于“相似-信任”关系的异质大群体决策应急响应规划框架。首先,构建面向三类代表性异质偏好关系的统一信息转换机制,实现跨类型偏好的可比计算;进一步将不同偏好空间内距离度量融合为统一的跨类型测度,提出类型稳健相似度指标,以尽可能保留原始语义并降低信息损失。在此基础上,设计改进的相似度K-means聚类方法以识别子群,并确定个体决策者与子群权重。其次,综合偏好相似度与社会信任关系,提出融合共识度量,并构建个性化共识反馈策略,通过可控干预自适应引导偏好调整,以高效提升整体共识水平。随后,采用两阶段集结与排序方法获得最优应急响应方案。最后,通过案例研究以及敏感性与对比分析验证:本文方法在最小化信息损失的同时,能够实现有效的共识提升和稳定的排序结果,为智慧城市应急响应规划提供切实可行的决策支持。

关键词: 智慧城市治理, 大群体决策, 异质偏好, 相似度, 共识机制

Abstract: As an essential component of smart city governance, disaster emergency management requires rapid and reliable decision support, yet it is often constrained by substantial practical challenges. To address these issues, a similarity-trust driven heterogeneous large-scale group decision making framework for emergency response planning is proposed. First, an information transformation mechanism is developed to jointly accommodate three representative heterogeneous preference relations, enabling comparable computations across different preference types. By integrating distances within each preference space into a unified cross-type measurement, a type-robust similarity index is constructed to preserve original semantics and reduce information loss. Simultaneously, building on this metric, an improved similarity-based K-means clustering approach is designed to identify coherent subgroups and derive the weights of decision makers and subgroups. Then, by combining preference similarity with social trust, a fused consensus measure is introduced, together with a personalized consensus feedback strategy that adaptively guides preference adjustments through controllable interventions to efficiently enhance global consensus. A two-stage aggregation and ranking procedure is further employed to obtain the optimal response alternative. Finally, a case study along with sensitivity and comparative analyses demonstrates that the proposed method achieves stable rankings and effective consensus improvement while minimizing information distortion, thereby providing practical decision support for emergency response planning in smart city contexts.

Key words: smart city governance, large-scale group decision making, heterogeneous information, similarity degree, consensus reaching mechanism