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中国工业与应用数学学会会刊
主管：中华人民共和国教育部
主办：西安交通大学
ISSN 1005-3085  CN 61-1269/O1
工程数学学报

工程数学学报 ›› 2025, Vol. 42 ›› Issue (2): 379-387.doi: 10.3969/j.issn.1005-3085.2025.02.012

• • 上一篇    下一篇

基于相对熵组合权重的战斗机作战能力评估

权家乐1,   惠永昌2,   汤恒仁1,   李皓铭2   

  1. 1. 中国飞行试验研究院，西安 710089
    2. 西安交通大学数学与统计学院，西安 710049
  • 收稿日期:2022-08-28 接受日期:2023-03-04 出版日期:2025-04-15 发布日期:2025-06-15
  • 通讯作者: 惠永昌 E-mail: huiyc180@xjtu.edu.cn

Combat Capability Evaluation of Fighter Based on Relative Entropy Combination Weight

QUAN Jiale1,   HUI Yongchang2,   TANG Hengren1,   LI Haoming2   

  1. 1. Chinese Flight Test Establishment, Xi'an 710089
    2. School of Mathimatics and Statistics, Xi'an Jiaotong University, Xi'an 710049
  • Received:2022-08-28 Accepted:2023-03-04 Online:2025-04-15 Published:2025-06-15
  • Contact: Y. Hui. E-mail address: huiyc180@xjtu.edu.cn

摘要：

歼击机作战能力评估，旨在对歼击机的整体作战性能给出可靠结论，具有十分重要的意义。而随着作战模式的转变，较为简单的传统作战能力评估框架，并不适用于更加复杂的作战场景。因此，综合考虑真实作战场景中可能出现的各种情况，针对传统作战能力评估方法的局限性，综合考虑指标体系和试验数据两方面因素，使用正态云模型对指标完成度得分和组合权重进行聚合，给出歼击机作战能力评估问题的综合解决方案。同时，重点关注综合评估过程中权重分配的合理性和有效性，使用基于相对熵的组合赋权法作为最终的指标权重计算方式，通过在领域专家先验知识和数据内在规律之间进行权衡的方式，综合考虑主观权重与客观权重的优劣势，使得综合评估结果更加真实可靠。

关键词: 作战性能, 层次分析法, 熵权法, 相对熵, 云理论

Abstract:

The evaluation of fighter's combat capability aims to give reliable conclusions on the overall combat performance of fighter, which is of great significance. However, with the transformation of the operational mode, the simpler traditional operational capability evaluation framework is not suitable for more complex operational scenarios. Therefore, this paper comprehensively considers various situations that may occur in the real combat scenario. In view of the limitations of the traditional combat capability evaluation methods, and comprehensively considers the two factors of index system and test data, this paper uses the normal cloud model to aggregate the index completion score and combination weight, and gives a comprehensive solution to the problem of fighter combat capability evaluation. At the same time, this paper focuses on the rationality and effectiveness of weight distribution in the process of comprehensive evaluation, uses the combined weight method based on relative entropy as the final index weight calculation method, and comprehensively considers the advantages and disadvantages of subjective weight and objective weight by balancing the prior knowledge of domain experts and the internal patterns of data, so as to make the comprehensive evaluation results more authentic and reliable.

Key words: operational capability, AHP, entropy method, relative entropy, cloud theory

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