跨域协同作战体系的复杂超图表示方法  

Complex hypergraph representations for cross-domain cooperative combat systems

作　　者：王惠真 韩春雷 平超 李烁 Wang Huizhen;Han Chunlei;Ping Chao;Li Shuo(School of Mathematics and Statistics,Northwestern Polytechnical University,Xi'an 710129,China;Xi'an Research Institute of Navigation Technology,Xi'an 710068,China)

机构地区：[1]西北工业大学数学与统计学院,西安710129 [2]西安导航技术研究所,西安710068

出　　处：《战术导弹技术》2024年第5期1-10,共10页Tactical Missile Technology

摘　　要：跨域协同作战体系具有作战平台及要素种类繁多、规模庞大且要素间协同关系复杂多样等特点,清晰、准确地数学表达是协同作战体系有效建模与算法高效设计的基础。针对目前基于图的跨域协同作战体系表示方法,对于作战要素以及要素间协同关系缺乏充分的结构与属性描述的问题,提出了跨域协同作战体系的复杂超图表示方法,用顶点表示作战平台上的关键要素,用超边来表示要素间的信息交互关系和协同关系,用顶点和超边的权值表示对应要素和关系上的定量属性,用顶点和超边的颜色表示对应要素和关系上的定性属性,构造了每个顶点和每条超边都伴随一个用来反映其对应要素和关系的定量、定性属性向量的赋权着色超图,给出了能反映跨域协同作战体系深层次协同结构与属性的表示方式。仿真结果表明,此方式相较于传统图建模方法,能够更好支撑杀伤链快速生成,对于进一步建立跨域协同作战体系运行和自主演化的数学模型及算法设计具有奠基性的作用。The cross-domain cooperative combat systems is characterized by various combat platforms,various elements,large scale and complex and diverse cooperative relations among elements.Providing a clear and accurate mathematical representation is indispensable for the rational modeling and the design of efficient algorithms of cooperative combat systems.Aiming at the lack of sufficient structural and property descriptions of combat elements and the cooperative relationships between the elements in the current graph-based crossdomain cooperative combat systems representation,a complex hypergraph representation of cross-domain cooperative combat systems is proposed.The core elements on the combat platform are represented by vertices,the information interaction and cooperative relationships between elements are represented by hyperedges,the quantitative attributes of the corresponding elements and relations are represented by the weights of vertices and hyperedges,and the qualitative attributes of the corresponding elements and relations are represented by the colors of vertices and hyperedges.Consequently,a weighted and colored hypergraph is constructed,wherein each vertex and hyperedge is accompanied by a vector reflecting its corresponding quantitative and qualitative properties of elements and relationships,thereby offering a representation that accurately reflects the deeper synergistic structure and properties of the combat systems.The simulation results show that this approach is much better than the traditional graph modelling method to support the rapid generation of kill chain.It has a foundational role in further establishing the mathematical model and algorithm design for the operation and autonomous evolution of the cross-domain coordinated combat systems.

关 键 词：跨域协同作战 体系建模 作战平台 要素协同 信息交互关系和协同关系 赋权着色超图 

分 类 号：E926[军事—军事装备学]