[an error occurred while processing this directive] [an error occurred while processing this directive] [an error occurred while processing this directive]
[an error occurred while processing this directive]
Academic article

Research on Combat Capability Evaluation of Aviation Weapon Equipment Based on Uncertainty Structural Equation Modeling

  • ZHAI Yuyao , * ,
  • YU Fengquan ,
  • HAN Peng ,
  • NIU Qinggong ,
  • FANG Huainan
Expand
  • Naval Aeronautical University, Yantai 264001,Shandong, China

Received date: 2026-02-03

  Online published: 2026-05-09

Abstract

The evaluation of aviation weaponry’s combat capability is not merely a technical matter,but also a strategic one.It directly determines whether the equipment can fulfill its intended operational roles on the battlefield and whether future warfare patterns can be accurately predicted.To address the inherent limitations of traditional evaluation methods—including such as over-reliance on expert experience,insufficient persuasiveness of evaluation models,and difficulties in indicator acquisition,this paper proposes a combat capability evaluation approach for aviation weaponry based on Uncertainty Structural Equation Modeling (USEM).Specifically,Triangular Fuzzy Number (TFN) and Deep Neural Networks (DNN) are both integrated to process collected simulation data,aiming to mitigate the drawbacks of limited data availability and significant subjectivity in expert-derived data,thereby enhancing modeling accuracy.The combat capability indicator values processed via the triangular fuzzy number algorithm are converted into SPSS-compatible files,and imported into AMOS for analysis,enabling the establishment of correlations between the combat capability index values and the structural equation model.The results demonstrate that the CN value ranges from 0 to 3,and the RMSEA value is less than 0.08,The CFI and TLI values are both greater than 0.9,all indicating excellent model fit.Furthermore,the model’s estimated values align with the actual missile combat capability indicators,verifying its validity for evaluating the combat capability of aviation weapons and equipment.

Cite this article

ZHAI Yuyao , YU Fengquan , HAN Peng , NIU Qinggong , FANG Huainan . Research on Combat Capability Evaluation of Aviation Weapon Equipment Based on Uncertainty Structural Equation Modeling[J]. Journal of Projectiles, Rockets, Missiles and Guidance, 2026 , 46(2) : 201 -211 . DOI: 10.15892/j.cnki.djzdxb.2026.02.009

[an error occurred while processing this directive]
[1]
马亚龙, 邵邱峰, 孙明. 评估理论和方法及其军事应用[M]. 北京: 国防工业出版社, 2013:90-122.

MA Y L, SHAO Q F, SUN M. Evaluation theories and methods and their military applications[M]. Beijing: National Defense Industry Press, 2013:90-122.

[2]
罗鹏程, 周经伦, 金光. 武器装备体系作战效能与作战能力评估分析方法[M]. 北京: 国防工业出版社, 2014:124-160.

LUO P C, ZHOU J L, JIN G. Evaluation and analysis method of combat effectiveness and combat capability of weapon system of systems[M]. Beijing: National Defense Industry Press, 2014:124-160.

[3]
罗鹏程, 傅攀峰, 周经伦. 武器装备体系作战能力评估框架[J]. 系统工程与电子技术, 2005, 27(1):72-75.

LUO P C, FU P F, ZHOU J L. Framework to evaluate the combat capability of weapons SoS[J]. Systems Engineering and Electronics, 2005, 27(1):72-75.

[4]
张鹏. 空军武器装备体系作战能力与作战能力评估方法研究[D], 长沙: 国防科学技术大学, 2005:56-88.

ZHANG P. Research on the Combat Capability and Evaluation Method of Air Force Weapon Equipment System[D], Beijing: National University of Defense Technology, 2005:56-88.

[5]
邱皓政, 林碧芳. 结构方程模型的原理与应用[M]. 北京: 中国轻工业出版社, 2008:133-189.

QIU H Z, LIN B F. Theory and Applications of Structural Equation Modeling[M]. Beijing: China Light Industry Press, 2008:133-189.

[6]
王子齐, 刘高峰. 基于SEM的近程反导舰炮武器系统作战能力评估[J]. 指挥控制与仿真, 2017, 39(4):85-91.

DOI

WANG Z Q, LIU G F. Combat Capability Evaluation of Short Range Antimissile Naval Gun System Based on SEM[J]. Command Control & Simulation, 2017, 39(4):85-91.

[7]
韩晓明, 张金哲, 张君. 基于指数法的航空武器装备对比优势评估模型[J]. 系统工程与电子技术, 2009, 31(6):1409-1414.

HAN X M, ZHANG J Z, ZHANG J. Models of comparative superiority evaluation for air weapon equipment based on exponent method[J]. Systems Engineering and Electronics, 2009, 31(6):1409-1414.

[8]
成浩, 何新华, 杨哲宇, 等. 基于非线性SEM的武器装备体系作战能力关联关系判定方法研究[J]. 兵器装备工程学报, 2020, 41(6):84-88.

CHENG H, HE X H, YANG Z Y, et al. Research on judgingmethod of combat capability relationship of weapon SoS based on nonlinear SEM[J]. Journal of Ordnance Equipment Engineering, 2020, 41(6):84-88.

[9]
齐小刚, 刘学星, 张博孜, 等. 基于结构方程模型的武器装备体系涌现性度量模型[J]. 兵工学报, 2020, 41(2):406-415.

DOI

QI X G, LIU X X, ZHANG B Z, et al. Emergence measurement model of armament systems based on SEM[J]. Acta Armamentarii, 2020, 41(2):406-415.

DOI

[10]
张少卿. 基于非线性SEM的航空反潜装备作战能力评估方法[D]. 北京: 国防科学技术大学, 2011:26-43.

ZHANG S Q. Combat capability evaluation method of aviation antisubmarine equipment based on nonlinear SEM[D]. Beijing: National University of Defense Technology, 2011:26-43.

[11]
Klein A, Muthén BO. Quasi Maximum likelihood estimation of structural equation models with multiple interaction and quadratic effects[J]. Multivariate Behavioral Research, 2007, 42 (4):647-673.

DOI

[12]
韩驰, 熊伟, 刘文文, 等. 基于结构方程模型的天基信息系统效能评估[J]. 系统仿真学报, 2022, 34 (8):1799-1810.

DOI

HAN C, XIONG W, LIU W, et al. Performance evaluation of space-based information systems based on structural equation modeling[J]. Journal of System Simulation, 2022, 34(8):1799-1810.

[13]
BRANDT, CAMBRIA, KELAVA. An Adaptive Bayesian Lasso Approach with Spike-and-Slab Priors to Identify Multiple Linear and Nonlinear Effects in Structural Equation Modes[J]. Structural Equation Modeling:A Multidisciplinary Journal, 2018, 25(6):946-960

DOI

[14]
张先超, 马亚辉. 体系能力模型与装备体系贡献率测度方法[J]. 系统工程与电子技术, 2019, 41(4):843-849.

ZHANG X C, MA Y H. Capability model of combat system of systems and measurement method of armament contribution to combat system of systems[J]. Systems Engineering and Electronics, 2019, 41(4):843-849.

DOI

[15]
FINCH. Modeling Nonlinear Structural Equation Models:A Comparison of the Two-Stage Generalized Additive Models and the Finite Mixture Structural Equation Model[J]. Structural Equation Modeling:A Multidisciplinary Journal, 2015, 22(1):60-75.

DOI

[16]
李宏辕. 面向反导作战的航天信息系统建模与效能评估[D]. 哈尔滨: 哈尔滨工业大学, 2017:46-58.

Li H Y. Modeling and Evaluation of Space Information Systems for Antimissile Operations[D]. Harbin: Harbin Institute of Technology, 2017:46-58.

[17]
成浩, 何新华, 杨哲宇, 等. 基于非线性SEM的武器装备体系作战能力关联关系判定方法研究[J]. 兵器装备工程学报, 2020, 41(6):84-88.

CHENG H, HE X H, YANG Z Y, et al. Research on Judging Method of Combat Capability Relationship of Weapon SoS Based on Nonlinear SEM[J]. Journal of Ordnance Equipment Engineering, 2020, 41(6):84-88.

[18]
BRANDT, CAMBRIA, KELAVA. An Adaptive Bayesian Lasso Approach with Spike-and-Slab Priors to Identify Multiple Linear and Nonlinear Effects in Structural Equation Models[J]. Structural Equation Modeling:A Multidisciplinary journal, 2018, 25(6):123-129.

[19]
李昭锐, 戢治洪, 李高春, 等. 基于建模仿真的飞机桶滚机动规避空空导弹效果及原因分析[J]. 海军航空大学学报, 2023, 38(1):145-150.

LI Z R, JI Z H, LI G C, et al. Effect and Reason Analysis for Aircraft Barrel Roll Avoiding Air-to-Air Missile Based on Modeling[J]. Journal of Naval Aviation University Simulations, 2023, 38(1):145-150.

[20]
李妮, 李玉红, 龚光红, 等. 基于深度学习的体系作战效能智能评估及优化[J]. 系统仿真学报, 2020, 32(8): 1425-1435.

DOI

Li N, Li Y H, Gong G H, et al. Intelligent Effectiveness Evaluation and Optimization on Weapon System of Systems Based on Deep Learning[J]. Journal of System Simulation, 2020, 32(8):1425-1435.

DOI

[21]
夏长俊, 洪亮, 滕克难. 装备假目标防空作战仿真及效能分析[J]. 海军航空大学学报, 2022, 37(5):423-427.

XIA C H, HONG L, TENG K N. Combat Simulation and Effectiveness Evaluation of Equipment Decoys in Aerial Defence[J]. Journal of Naval Aviation University Simulations, 2022, 37(1):423-427.

[22]
潘旺华, 杨希祥, 廖瑛, 等. 远程空空导弹单发杀伤概率研究[J]. 弹箭与制导学报, 2007, 27(3):1-3.

PAN W H, YANG X X, LIAO Y, et al. Research on Kill Probability for Single Long-range Air-to-air Missile[J]. Journal of Projectiles,Rockets,Missiles and Guidance, 2007, 27(3):1-3.

[23]
ZHAI Y Y, SHI S X, H L, QIN YF. A Testability Model Method Based on Three-state Fault Colored Generalized Stochastic Petri Nets[C]// Proceedings of 2020 International Conference on Guidance,Navigation and Control,Tianjin, China, 2020:183-193.

[24]
WU W N, WANG X Gg, CUI N G. Fast and Coupled Solution for Cooperative Mission Planning of Multiple Heterogeneous Unmanned Aerial Vehicles[J]. Aerospace Science and Technology, 2018, 79:131-144.

DOI

Outlines

/

[an error occurred while processing this directive]