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复杂系统与复杂性科学  2023, Vol. 20 Issue (4): 40-46    DOI: 10.13306/j.1672-3813.2023.04.006
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基于熵的多属性决策超网络重要节点识别方法
吴英晗, 李明达, 胡枫
青海师范大学 a. 藏语智能信息处理及应用国家重点实验室;b.高原科学与可持续发展研究院,西宁 810008
A Multi-attribute Decision-making Method Based on Entropy to Identify Important Nodes in Hypernetworks
WU Yinghan, LI Mingda, HU Feng
a. The State Key Laboratory of Tibetan Intelligent Information Processing and Application; b. Academy of Plateau Science and Sustainability, Qinghai Normal University, Xining 810008, China
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摘要 为克服单一属性评价节点重要性不全面以及各指标权重选取过于主观的不足,基于超网络的K-shell方法,综合考虑节点自身属性的同时,引入邻居节点对自身节点的影响力,结合介数中心性,使用熵权法确定各指标的贡献权重,从局部和全局两个角度提出了识别超网络中重要节点的方法。通过网络自然连通度和最大连通子图的相对大小比较不同识别方法的优劣,并利用西宁市公交超网络实证数据进一步验证了所提方法的有效性。
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吴英晗
李明达
胡枫
关键词 超图超网络节点重要性多属性决策熵权法    
Abstract:In order to overcome the deficiency of incomplete importance of nodes evaluated by single attribute and subjective weight selection of indicators, based on the K-shell method in hypernetwork, this paper introduces the influence of neighbor nodes on their own nodes while comprehensively considering the attributes of nodes, combined with the index of betweenness centrality, using the entropy method to determine the contribution weight of each index to node importance. A method to identify important nodes in hypernetworks is proposed from both local and global perspectives. The advantages and disadvantages of different identification methods are compared through the natural connectivity of network and the relative size of the maximum connected subgraph, and the empirical data of Xining city bus hypernetwork is used to further verify the effectiveness a feasibility of the proposed method.
Key wordshypergraph    hypernetwork    node importance    multi-attribute decision making    entropy method
收稿日期: 2022-08-01      出版日期: 2023-12-28
ZTFLH:  TP301.5  
基金资助:国家自然科学基金(61663041);青海省自然基金(2023-ZJ-916M);青海省“昆仑英才”行动计划项目(青人才字[2022]1号)
通讯作者: 胡枫(1970-),女,青海民和人,博士,教授,主要研究方向为复杂网络、超网络理论及应用。   
作者简介: 吴英晗(1996-),女,山东菏泽人,硕士研究生,主要研究方向为超网络理论及应用。
引用本文:   
吴英晗, 李明达, 胡枫. 基于熵的多属性决策超网络重要节点识别方法[J]. 复杂系统与复杂性科学, 2023, 20(4): 40-46.
WU Yinghan, LI Mingda, HU Feng. A Multi-attribute Decision-making Method Based on Entropy to Identify Important Nodes in Hypernetworks. Complex Systems and Complexity Science, 2023, 20(4): 40-46.
链接本文:  
https://fzkx.qdu.edu.cn/CN/10.13306/j.1672-3813.2023.04.006      或      https://fzkx.qdu.edu.cn/CN/Y2023/V20/I4/40
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