基于模糊局部维数的装备保障网络节点重要性评估

在信息化智能化作战背景下，各级各类保障机构交织成网状结构，对重要保障节点进行有效防护已成为提高装备保障网络整体抗毁性的重要关注问题。针对目前普遍使用的节点删除法、重要度贡献法和效率矩阵法等无法有效区分局部范围内节点重要度的难题，基于复杂网络分形与相似性原理，构建节点隶属度函数表达式，实现了在给定半径范围内不同最短距离节点对中心节点的影响分析，进而通过模糊局部维数描述网络节点的重要性大小，并详细叙述具体的算法。实例验证表明，该方法能够快速准确地确定装备保障网络中的重要节点，为有针对性地实施节点攻击免疫提供决策支持。

Importance Evaluation of Equipment Support Network Node Based on Fuzzy Local Dimension

Under the background of information and intelligent warfare, all kinds of support organizations at all levels interweave into a network structure, and the effective protection of important support nodes has become an important concern for improving the overall invulnerability of equipment support network. In view of that the node deletion method, the importance contribution method and the efficiency matrix method cannot effectively distinguish the node importance in the local scope, the membership function expression of nodes is constructed based on the fractal and similarity principle of complex networks, and the influences of different nodes at the shortest distance on the central node in a given radius are analyzed. The importance of nodes is described by using the fuzzy local dimension, and the specific algorithm is described in detail. The example shows that the proposed method can be used to quickly and accurately identify the important nodes in the equipment support network, and provide decision support for targeted implementation of node attack immunity.Key