Systems Engineering and Electronics ›› 2020, Vol. 42 ›› Issue (1): 108-117.doi: 10.3969/j.issn.1001-506X.2020.01.15
Previous Articles Next Articles
Jialiang ZUO(), Ying ZHANG*(), Rennong YANG(), Zhenxing ZHANG()
Received:
2019-04-08
Online:
2020-01-01
Published:
2019-12-23
Contact:
Ying ZHANG
E-mail:jialnzuo@163.com;zhangying198807@126.com;yangrn6907@163.com;2207621676@qq.com
Supported by:
CLC Number:
Jialiang ZUO, Ying ZHANG, Rennong YANG, Zhenxing ZHANG. Reconstruction and evaluation of medium-range cooperation air combat decision-making process with two phase clustering[J]. Systems Engineering and Electronics, 2020, 42(1): 108-117.
Table 1
Relative fuzzy entropy of red square formation cooperative maneuvering decision set"
LR_Radar | Av_R | P(xR_i) | Q(xR_i) | H(Av_R-xR_i) |
1 | xv_north_R(K+17’) | 0.74 | 0.17 | 0.210 3 |
1 | xv_east_R(K+19’) | 0.62 | 0.36 | 0.208 3 |
1 | xv_up_R(K+28’) | 0.87 | 0.11 | 0.212 7 |
1 | xv_up_R(K+31’) | 0.84 | 0.13 | 0.212 |
1 | xv_north_R(K+32’) | 0.89 | 0.09 | 0.213 3 |
1 | xv_up_R(K+33’) | 0.85 | 0.11 | 0.212 3 |
1 | xv_up_R(K+35’) | 0.88 | 0.08 | 0.213 3 |
1 | xv_up_R(K+37’) | 0.71 | 0.27 | 0.209 3 |
1 | xv_north_R(K+38’) | 0.67 | 0.23 | 0.209 3 |
1 | xv_east_R(K+40’) | 0.83 | 0.12 | 0.212 |
1 | xv_up_R(K+47’) | 0.89 | 0.1 | 0.213 |
1 | xv_up_R(K+48’) | 0.72 | 0.25 | 0.209 7 |
1 | xv_north_R(K+51’) | 0.83 | 0.13 | 0.212 |
1 | xv_up_R(K+56’) | 0.81 | 0.13 | 0.211 7 |
1 | xv_east_R(K+57’) | 0.75 | 0.23 | 0.21 |
1 | xv_up_R(K+61’) | 0.71 | 0.28 | 0.212 3 |
1 | xv_north_R(K+65’) | 0.91 | 0.03 | 0.34 |
1 | xv_north_R(K+66’) | 0.76 | 0.23 | 0.21 |
1 | xv_up_R(K+72’) | 0.87 | 0.11 | 0.335 8 |
1 | xv_up_R(K+76’) | 0.82 | 0.15 | 0.211 7 |
1 | xv_up_R(K+78’) | 0.61 | 0.38 | 0.208 3 |
1 | xv_north_R(K+83’) | 0.87 | 0.11 | 0.212 7 |
1 | xv_east_R(K+84’) | 0.53 | 0.43 | 0.208 |
1 | xv_up_R(K+87’) | 0.73 | 0.26 | 0.209 7 |
1 | xv_east_R(K+87’) | 0.63 | 0.33 | 0.208 3 |
1 | xv_north_R(K+88’) | 0.73 | 0.21 | 0.21 |
2 | xv_north_R(K+96’) | 0.88 | 0.1 | 0.213 |
2 | xv_up_R(K+97’) | 0.63 | 0.21 | 0.209 |
2 | xv_up_R(K+110’) | 0.78 | 0.16 | 0.211 |
2 | xv_up_R(K+115’) | 0.73 | 0.21 | 0.21 |
2 | xv_north_R(K+116’) | 0.65 | 0.33 | 0.208 7 |
Table 2
Relative fuzzy entropy of blue square formation cooperative maneuvering decision set"
LB_Radar | Av_B | P(xB_i) | Q(xB_i) | H(Av_B-xB_i) |
1 | xv_up_B(K+24’) | 0.68 | 0.32 | 0.190 5 |
1 | xv_north_B(K+28’) | 0.81 | 0.12 | 0.195 3 |
1 | xv_east_B(K+30’) | 0.77 | 0.21 | 0.192 6 |
1 | xv_north_B(K+35’) | 0.83 | 0.11 | 0.195 8 |
1 | xv_east_B(K+43’) | 0.83 | 0.16 | 0.193 7 |
2 | xv_up_B(K+48’) | 0.81 | 0.17 | 0.194 2 |
2 | xv_up_B(K+50’) | 0.88 | 0.11 | 0.196 8 |
2 | xv_north_B(K+52’) | 0.91 | 0.07 | 0.198 4 |
2 | xv_east_B(K+56’) | 0.53 | 0.45 | 0.188 9 |
2 | xv_north_B(K+57’) | 0.74 | 0.21 | 0.192 1 |
2 | xv_up_B(K+57’) | 0.89 | 0.09 | 0.197 4 |
2 | xv_up_B(K+66’) | 0.91 | 0.05 | 0.199 4 |
2 | xv_north_B(K+70’) | 0.83 | 0.12 | 0.195 3 |
2 | xv_up_B(K+75’) | 0.87 | 0.1 | 0.196 8 |
2 | xv_up_B(K+82’) | 0.78 | 0.21 | 0.192 6 |
3 | xv_north_B(K+98’) | 0.87 | 0.09 | 0.196 8 |
3 | xv_up_B(K+99’) | 0.87 | 0.1 | 0.196 8 |
3 | xv_up_B(K+102’) | 0.81 | 0.15 | 0.194 7 |
4 | xv_north_B(K+107’) | 0.67 | 0.31 | 0.190 5 |
4 | xv_north_B(K+109’) | 0.64 | 0.32 | 0.19 |
Table 3
Reduced blue formation cooperative air combat decision set Av_B"
LB_Radar | Av_B约简后 | 蓝方编队协同机动决策集Av_B |
1 | xv_B1(K+24’) | xv_up_B(K+24’) |
1 | xv_B2(K+28’) | xv_north_B(K+28’) |
1 | xv_B3(K+30’) | xv_east_B(K+30’) |
1 | xv_B4(K+35’) | xv_north_B(K+35’) |
1 | xv_B5(K+43’) | xv_east_B(K+43’) |
2 | xv_B6(K+48’) | xv_up_B(K+48’), xv_up_B(K+50’), xv_north_B(K+52’) |
2 | xv_B7(K+56’) | xv_east_B(K+56’) |
2 | xv_B8(K+57’) | xv_up_B(K+57’), xv_up_B(K+66’), xv_north_B(K+70’), xv_up_B(K+75’) |
2 | xv_B9(K+82’) | xv_up_B(K+82’) |
3 | xv_B10(K+98’) | xv_north_B(K+98’), xv_up_B(K+99’), xv_up_B(K+102’) |
4 | xv_B11(K+107’) | xv_north_B(K+107’) |
4 | xv_B12(K+109’) | xv_north_B(K+109’) |
1 | MOORE J, TURNER R, PEKALA M. Finite state machines for creating, evaluating, and refining air-to-air combat tactics, ADA490111[R]. USA: Johns Hopkins Univ Laurel MD Applied Physics Laboratory, 2008. |
2 | 左家亮, 杨任农, 张滢, 等. 基于模糊聚类的近距空战决策过程重构与评估[J]. 航空学报, 2015, 36 (5): 1650- 1660. |
ZUO J L , YANG R N , ZHANG Y , et al. Reconstruction and evaluation of close air combat decision-making process based on fuzzy clustering[J]. Acta Aeronautica et Astronautica Sinica, 2015, 36 (5): 1650- 1660. | |
3 | QIAN P, DEYUN Z, JICHAN H, et al. Maneuver decision for cooperative close-range air combat based on state predicted influence diagram[C]//Proc.of the IEEE International Conference on Information and Automation, 2017: 726-731. |
4 | CHAO F, PENG Y. On close-range air combat based on hidden Markov model[C]//Proc.of the IEEE Chinese Guidance, Navigation and Control Conference, 2016: 687-694. |
5 | NELSON R L , RAFAL Z . Effectiveness of autonomous decision making for unmanned combat aerial vehicles in dogfight engagements[J]. Journal of Guidance, Control and Dynamics, 2018, 41 (2): 1015- 1021. |
6 | BURGIN G H, OWENS A J. An adaptive maneuvering logic computer program for the simulation of one-on-one air-to-air combat.volume 2: program desciption[R]. USA: NASA CR-2583, 1975. |
7 | SMITH R E , DIKE B A , MEHRA R K , et al. Classifier systems in combat:two-sided learning of maneuvers for advanced fight aircraft[J]. Computer Methods in Applied Mechanics and Engineering, 2000, 186 (2/4): 421- 437. |
8 | 冯超, 景小宁, 李秋妮, 等. 基于隐马尔可夫模型的空战决策点理论研究[J]. 北京航空航天大学学报, 2017, 43 (5): 615- 626. |
FENG C , JING X N , LI Q N , et al. Theoretical research of decision-making point in air combat based on hidden Markov model[J]. Journal of Beijing University of Aeronautics and Astronautics, 2017, 43 (5): 615- 626. | |
9 | DING W P , WANG J D . Cooperative extended rough attribute reduction algorithm based on improved PSO[J]. Journal of Systems Engineering and Electronics, 2011, 22 (1): 160- 166. |
10 | MA Y F , MA X L , SONG X . A case study on air combat decision using approximated dynamic programing[J]. Mathematical Problems in Engineering, 2014, 2014 (4): 183401- 183410. |
11 | JENS A, ULRIKA O.Intelligent fighter pilot support for distributed unmanned and manned decision making[M]//Intelligent Applications for Heterogeneous System Modeling and Design IGI Global, 2015. |
12 | HYUNJU P , BYUNG Y L , MIN J T . Differential game based air combat Maneuver generation using scoring function matrix[J]. Journal of Aeronautical and Space Sciences, 2016, 17 (2): 204- 213. |
13 | 左家亮, 杨任农, 张滢, 等. 基于启发式强化学习的空战机动智能决策[J]. 航空学报, 2017, 38 (10): 212- 225. |
ZUO J L , YANG R N , ZHANG Y , et al. Intelligent decision-making in air combat maneuvering based on heuristic reinforcement learning[J]. Acta Aeronautica et Astronautica Sinica, 2017, 38 (10): 212- 225. | |
14 | 宋遐淦, 江驹, 徐海燕. 改进模拟退火遗传算法在协同空战中的应用[J]. 哈尔滨工程大学学报, 2017, 38 (11): 1762- 1768. |
SONG X J , JIANG J , XU H Y . Application of improved simulated annealing genetic algorithm in cooperative air combat[J]. Journal of Harbin Engineering University, 2017, 38 (11): 1762- 1768. | |
15 | WANG Y , HUANG C , TANG C . Research of unmanned combat aerial vehicle robust maneuvering decision under incomplete target information[J]. Advances in Mechanical Engineering, 2016, 8 (10): 1- 12. |
16 | VAHDANI B , TAVAKKOLI M R , MEYSAM M S , et al. Soft computing based on new interval-valued fuzzy modified multi-criteria decision-making method[J]. Applied Soft Computing, 2013, 13 (1): 165- 172. |
17 | PETROVIČ I , KANKARAŠ M . Dematel-AHP multi-criteria decision making model for the selection and evaluation of criteria for selecting an aircraft for the protection of air traffic[J]. Decision Making:Applications in Management and Engineering, 2018, 1 (2): 93- 110. |
18 |
CORDON O . A historical review of evolutionary learning methods for Mamdani-type fuzzy rule-based systems:designing interpretable genetic fuzzy systems[J]. International Journal of Approximate Reasoning, 2011, 52, 894- 913.
doi: 10.1016/j.ijar.2011.03.004 |
19 | JOSHI B P , KUMAR S . Intuitionistic fuzzy sets based method for multi-criteria decision-making[M]. Pennsylvania: IGI Global, 2015: 15- 35. |
20 | 张源原, 吴文海, 汪节. 区间值直觉模糊Petri网及其在空战决策的应用[J]. 系统工程与电子技术, 2017, 39 (5): 1051- 1057. |
ZHANG Y Y , WU W H , WANG J . Interval valued intuitionistic fuzzy Petri net and its application in air combat decision-making[J]. Systems Engineering and Electronics, 2017, 39 (5): 1051- 1057. | |
21 | SHAW R L. Fighter combat: the art and science of air-to-air warfare[M]. 2nd ed.Wellingborough: Patrick Stephens, 1988: 62-182. |
22 | CARLO K. The Russian philosophy of beyond visual range air combat[R]. Russian: Technical Report APA-TR-2008-0301. http://www.ausairpower.net/APA-Rus-BVR-AAM.html. |
23 | MIRMOEINI F, KRISHNAMURTHY V. Reconfigurable Bayesian networks for adaptive situation assessment in battle space[C]//Proc.of the IEEE International Conference on networking Sensing and Control, 2005: 810-815. |
24 | ZHANG K, LIU P, LI K, et al. Multi-target threat assessment in air combat based on entropy and VIKOR[C]//Proc.of the 9th International Conference on Advanced Computational Intelligence, 2017: 175-179. |
25 | ZHAO K, HUANG C. Air combat situation assessment for UAV based on improved decision tree[C]//Proc.of the Chinese Control and Decision Conference, 2018: 1772-1776. |
26 | 孙庆鹏, 李战武, 常一哲. 基于威力势场的多机种威胁评估方法[J]. 系统工程与电子技术, 2018, 40 (9): 1993- 1999. |
SUN Q P , LI Z W , CHANG Y Z . Multi-types airplane threat assessment based on combat power field[J]. Systems Engineering and Electronics, 2018, 40 (9): 1993- 1999. | |
27 |
GAO J , TONG M . Extracting decision rules for cooperative team air combat based on rough set theory[J]. Chinese Journal of Aeronautics, 2003, 16 (4): 223- 228.
doi: 10.1016/S1000-9361(11)60188-X |
28 | KAELBLING L P , LITTMAN M L , MOORE A W . Reinforcement learning:a survey[J]. Journal of Artificial Intelligence Research, 1996, 4 (1): 237- 285. |
29 | VEERASAMY N. A high-level mapping of cyberterrorism to the OODA loop[C]//Proc.of the 5th European Conference on Information Management and Evaluation, 2011: 352-360. |
30 | 张震, 汪斌强, 伊鹏, 等. 一种分层组合的半监督近邻传播聚类算法[J]. 电子与信息学报, 2013, 35 (3): 645- 651. |
ZHANG Z , WANG B Q , YI P , et al. Semi-supervised affinity propagation clustering algorithm based on stratified combination[J]. Journal of Electronics&Information Technology, 2013, 35 (3): 645- 651. |
[1] | Liwei QIAN, Xiangqian XU, Yajie DOU, Yuejin TAN. System capability requirements recommendation method based on RIMER method [J]. Systems Engineering and Electronics, 2022, 44(12): 3719-3727. |
[2] | Depeng KONG, Yiqing MA, Baohua ZHENG, Qi WANG, Zhiqiang ZHANG, Zhenqiang ZHAO. Contribution rate assessment method of maritime joint operations equipment system of systems for uncertain multi-mission scenes [J]. Systems Engineering and Electronics, 2022, 44(12): 3775-3782. |
[3] | Meigen HUANG, Weiping WANG, Tao WANG, Xiaobo LI, Hua HE, Song YANG. EC2-based architecture design method of cloud-flow C2 for unmanned combat SoS [J]. Systems Engineering and Electronics, 2022, 44(11): 3413-3422. |
[4] | Jianing DENG, Yu WU, Shuting XU, Jinzhan GOU. Comprehensive evaluation of carrier aircraft's dispatch and recovery based on fuzzy Bayesian-ANP [J]. Systems Engineering and Electronics, 2022, 44(11): 3423-3432. |
[5] | Renjie XU, Lin GONG, Mingren ZHU, Jian XIE, Jingjia YU. Combat plans recommendation method considering relativity and diversity under uncertain information [J]. Systems Engineering and Electronics, 2022, 44(10): 3115-3123. |
[6] | Lu GUO, Xiaodong LIU, Dongtao WEI, Pu ZHU. Extraction method of missile equipment health characterization parameters based on improved PCA [J]. Systems Engineering and Electronics, 2022, 44(10): 3275-3281. |
[7] | Kang LI, Xianming SHI, Guangning LI, Haobang LIU. Estimation method of hit probability of anti-cruise missile weapon based on normal-inverse Gamma distribution [J]. Systems Engineering and Electronics, 2022, 44(8): 2621-2627. |
[8] | Qian LIU, Yunjun LU, Kebin CHEN, Mengyao HAN, Liang GUO. Combat task decomposition EVA method based on binary constraints of task subject [J]. Systems Engineering and Electronics, 2022, 44(7): 2201-2210. |
[9] | Jun MA, Jingyu YANG, Xi WU. Evaluation of operational system of systems effectiveness based on pre-clustering active semi-supervised learning [J]. Systems Engineering and Electronics, 2022, 44(6): 1889-1896. |
[10] | Li XU, Minzhi RUAN, Hua LI. Method of fill rate evaluation and demand calculation for lognormal component commonality [J]. Systems Engineering and Electronics, 2022, 44(4): 1417-1423. |
[11] | Jun MA, Jingyu YANG, Liyan ZOU. Generation method of operational system of systems capability graph based on Stacking integrated meta-model [J]. Systems Engineering and Electronics, 2022, 44(1): 154-163. |
[12] | Min DU, Zhonghua CHENG, Enzhi DONG. Research on contribution rate evaluation theory of army air defense brigade equipment system [J]. Systems Engineering and Electronics, 2022, 44(1): 209-217. |
[13] | Weisheng YANG, Yu WANG, Yang YANG, Liang TANG. Combat network effectiveness evaluation under different node attack strategies based on operation loop [J]. Systems Engineering and Electronics, 2021, 43(11): 3220-3228. |
[14] | Zhe WANG, Jianhua LI, Ziyang LIU, Dong KANG. Modeling and center of gravity analysis for networked information system of systems based on function dependency [J]. Systems Engineering and Electronics, 2021, 43(10): 2876-2883. |
[15] | Luda ZHAO, Bin WANG. Method of electronic countermeasure targets' list generation based on RS-DBN [J]. Systems Engineering and Electronics, 2021, 43(9): 2373-2382. |
Viewed | ||||||
Full text |
|
|||||
Abstract |
|
|||||