基于直觉模糊TOPSIS和变权VIKOR的防空目标威胁综合评估

doi:10.12305/j.issn.1001-506X.2022.01.22

摘要/Abstract

摘要：

针对传统防空目标威胁评估中威胁因素考虑不全、定性指标量化不精确以及属性指标权重固定不变等方面的不足, 在综合考虑目标静态和动态属性的基础上, 提出了基于直觉模糊理想解逼近(technique for order preference by similarity to an ideal solution, TOPSIS)法和变权多准则优化妥协决策(multi-criteria optimization compromise decision-making, VIKOR)法的防空目标威胁综合评估方法。首先，直觉模糊集和隶属度函数分别用于静态和动态属性指标的量化。然后，构建直觉模糊TOPSIS模型和融合变权的VIKOR模型进行静态属性和动态属性威胁评估。最后，进行综合威胁度计算。仿真验证表明, 目标威胁综合评估方法与仅考虑目标运动状态信息的传统评估方法相比, 评估结果更加合理有效, 更符合防空作战实际。

关键词: 威胁评估, 直觉模糊集, 理想解逼近法, 变权, 多准则优化妥协决策

Abstract:

Aiming at the shortcomings of traditional air defense target threat evaluating methods, such as incomplete consideration of threat factors, inaccurate quantification of qualitative indexes and constant weight of attribute indexes, a threat comprehensive assessment method for air defense targets based on intuitionistic fuzzy technique for order preference by similarity to an ideal solution (TOPSIS) and variable weight multi-criteria optimization compromise decision-making (VIKOR) is proposed on the basis of comprehensive consideration of static and dynamic attributes of targets. Firstly, the intuitionistic fuzzy set and membership functions are respectively used to quantify the static and dynamic attribute indexes. Secondly, the intuitionistic fuzzy TOPSIS model and the variable weight VIKOR model are constructed for static and dynamic threat assessment. Finally, the comprehensive threat degree is calculated. Simulation shows that the results obtained by the proposed threat comprehensive assessment method are more reasonable, effective and practical than those obtained by the traditional methods which only consider the motion state information of the target in air defense operations.

Key words: threat assessment, intuitionistic fuzzy set, technique for order preference by similarity to an ideal solution (TOPSIS), variable weight, multi-criteria optimization compromise decision-making (VIKOR)

中图分类号:

V271

靳崇, 孙娟, 王永佳, 蔡普申, 荣鑫. 基于直觉模糊TOPSIS和变权VIKOR的防空目标威胁综合评估[J]. 系统工程与电子技术, 2022, 44(1): 172-180.

Chong JIN, Juan SUN, Yongjia WANG, Pushen CAI, Xin RONG. Threat comprehensive assessment for air defense targets based on intuitionistic fuzzy TOPSIS and variable weight VIKOR[J]. Systems Engineering and Electronics, 2022, 44(1): 172-180.

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参考文献 35

1	KONG D P , CHANG T Q , WANG Q D , et al. A threat assessment method of group targets based on interval-valued intuitioni-stic fuzzy multi-attribute group decision-making[J]. Applied Soft Computing, 2018, 67 (6): 350- 369.
2	DENG Y . A threat assessment model under uncertain environment[J]. Mathematical Problems in Engineering, 2015, 878024.
3	付涛, 王军. 防空系统中空中目标威胁评估方法研究[J]. 指挥控制与仿真, 2016, 38 (3): 63- 69. doi: 10.3969/j.issn.1673-3819.2016.03.013
	FU T , WANG J . Threat assessment of aerial targets in air-defense[J]. Command Control & Simulation, 2016, 38 (3): 63- 69. doi: 10.3969/j.issn.1673-3819.2016.03.013
4	季傲, 姜礼平, 吴强. 航母编队协同防空作战目标威胁评估[J]. 兵工自动化, 2016, 35 (5): 56- 58. doi: 10.7690/bgzdh.2016.05.015
	JI A , JING L P , WU Q . Target threat assessment for aircraft carrier formation cooperative air defense[J]. Ordnance Industry Automation, 2016, 35 (5): 56- 58. doi: 10.7690/bgzdh.2016.05.015
5	李卫忠, 李志鹏, 江洋, 等. 混沌海豚群优化灰色神经网络的空中目标威胁评估[J]. 控制与决策, 2018, 33 (11): 80- 86.
	LI W Z , LI Z P , JIANG Y , et al. Air-targets threat assessment using grey neural network optimized by chaotic dolphin swarm algorithm[J]. Control and Decision, 2018, 33 (11): 80- 86.
6	王晓玲, 戴林瀚, 吕鹏, 等. 基于DSR-可拓云的渗流安全综合评价研究[J]. 天津大学学报(自然科学与工程技术版), 2019, 52 (1): 52- 61.
	WANG X L , DAI L H , LYU P , et al. Study on comprehensive evaluation model of seepage safety based on DSR-extension cloud[J]. Journal of Tianjin University(Science and Technology), 2019, 52 (1): 52- 61.
7	高杨, 李东生, 王骁. 基于区间数排序的目标识别系统威胁评估方法[J]. 探测与控制学报, 2015, 37 (6): 82- 86.
	GAO Y , LI D S , WANG X . Target threat assessment method based on intervals order[J]. Journal of Detection & Control, 2015, 37 (6): 82- 86.
8	XU Y J , WANG Y C , MIU X D . Multi-attribute decision making method for air target threat evaluation based on intuitionistic fuzzy sets[J]. Journal of Systems Engineering and Electronics, 2012, 23 (6): 891- 897. doi: 10.1109/JSEE.2012.00109
9	SU X Z , CHEN M Y , XIA G P . An interactive method for dynamic intuitionistic fuzzy multi-attribute group decision making[J]. Expert System with Applications, 2011, 38, 15286- 15295. doi: 10.1016/j.eswa.2011.06.022
10	张延风, 刘建书, 张士峰. 基于层次分析法和熵值法的目标多属性威胁评估[J]. 弹箭与制导学报, 2019, 39 (2): 163- 165.
	ZHANG Y F , LIU J S , ZHANG S F . A multi-attribute threat assessment method based on analytical hierarchy process and entropy method[J]. Journal of Projectiles, Rockets, Missiles and Guidance, 2019, 39 (2): 163- 165.
11	CHICLANA F . Integrating multiplicative preference relations in a multipurpose decision-making model based on fuzzy prefe-rence relations[J]. Fuzzy Sets & Systems, 2001, 122 (2): 277- 291.
12	YIN G Y , ZHOU S L , ZHANG W G . A threat assessment algorithm based on AHP and principal components analysis[J]. Procedia Engineering, 2011, 15, 4590- 4596. doi: 10.1016/j.proeng.2011.08.862
13	徐克虎, 张明双, 李灵之. 基于区间变权灰色关联法的集群目标威胁评估[J]. 电光与控制, 2019, 26 (12): 6- 11. doi: 10.3969/j.issn.1671-637X.2019.12.002
	XU K H , ZHANG M S , LI L Z . Cluster target threat assessment based on interval variable weight grey correlation method[J]. Electronics Optics & Control, 2019, 26 (12): 6- 11. doi: 10.3969/j.issn.1671-637X.2019.12.002
14	温包谦, 王涛. 弹炮结合武器系统指挥控制模型研究[C]//2019中国系统仿真与虚拟现实技术高层论坛, 2019: 232-236.
	WEN B Q, WANG T. Research on command and control model of integrate missile and gun weapon system[C]//Proc. of the China System Simulation and Virtual Reality Technology High Level Forum, 2019: 232-236.
15	周弘波, 张金成. 基于组合权重的灰色目标威胁评估[J]. 火力与指挥控制, 2018, 43 (10): 143- 146. doi: 10.3969/j.issn.1002-0640.2018.10.028
	ZHOU H B , ZHANG J C . Evaluation of target threat based on combinational weigh and grey correlation[J]. Fire Control & Command Control, 2018, 43 (10): 143- 146. doi: 10.3969/j.issn.1002-0640.2018.10.028
16	FREDRIK J, GORAN F. A Bayesian network approach to threat evaluation with application to an air defense scenario[C]//Proc. of the 11th International Conference on Information Fusion, 2008.
17	WANG Y, SUN Y, LI J Y, et al. Air defense threat assessment based on dynamic Bayesian network[C]//Proc. of the IEEE International Conference on Systems and Informatics, 2012: 721-724.
18	WANG G J , DUAN Y . TOPSIS approach for multi-attribute decision making problems based on n-intuitionistic polygonal fuzzy sets description[J]. Computers & Industrial Engineering, 2018, 124, 573- 581.
19	SONG W , MIN G X , WU Z , et al. Failure modes and effects analysis using integrated weight-based fuzzy TOPSIS[J]. International Journal of Computer Integrated Manufacturing, 2013, 26 (12): 1172- 1186. doi: 10.1080/0951192X.2013.785027
20	奚之飞, 徐安, 寇英信, 等. 基于改进GRA-TOPSIS的空战威胁评估[J]. 北京航空航天大学学报, 2020, 46 (2): 388- 397.
	XI Z F , XU A , KOU Y X , et al. Air combat threat assessment based on improved GRA-TOPSIS[J]. Journal of Beijing University of Aeronautics and Astronautics, 2020, 46 (2): 388- 397.
21	张堃, 刘培培, 张建东, 等. 基于DVIKOR的空战多目标威胁评估[J]. 航空兵器, 2018, (2): 3- 8.
	ZHANG K , LIU P P , ZHANG J D , et al. Multi-target threat assessment in air combat based on DVIKOR[J]. Aero Weaponry, 2018, (2): 3- 8.
22	张明双, 徐克虎, 李灵之. 基于直觉模糊集和VIKOR法的多目标威胁评估[J]. 兵器装备工程学报, 2019, 40 (6): 62- 67. doi: 10.11809/bqzbgcxb2019.06.014
	ZHANG M S , XU K H , LI L Z . Multi-target threat assessment based on intuitionistic fuzzy set and VIKOR[J]. Journal of Ordnance Equipment Engineering, 2019, 40 (6): 62- 67. doi: 10.11809/bqzbgcxb2019.06.014
23	CHEN D F , FENG Y , LIU Y X . Threat assessment for air defense operations based on intuitionistic fuzzy logic[J]. Procedia Engineering, 2012, 29 (4): 3302- 3306.
24	孔德鹏, 常天庆, 郝娜, 等. 地面作战目标威胁评估多属性指标处理方法[J]. 自动化学报, 2021, 47 (1): 161- 172.
	KONG D P , CHANG T Q , HAO N , et al. Multi-attribute index processing method of target threat assessment in ground combat[J]. Acta Automatica Sinica, 2021, 47 (1): 161- 172.
25	徐好, 吴琳拥, 毛谨. 低空防御中目标威胁评估和火力分配技术[J]. 指挥控制与仿真, 2019, 41 (5): 39- 42. doi: 10.3969/j.issn.1673-3819.2019.05.009
	XU H , WU L Y , MAO J . Target threat assessment and fire allocation technology in low-altitude air[J]. Command Control & Simulation, 2019, 41 (5): 39- 42. doi: 10.3969/j.issn.1673-3819.2019.05.009
26	ASIM T , SEROL B . Weapon target assignment with combinatorial optimization techniques[J]. International Journal of Advanced Research in Artificial Intelligence, 2013, 2 (7): 39- 50.
27	张堃, 王雪, 张才坤, 等. 基于IFE动态直觉模糊法的空战目标威胁评估[J]. 系统工程与电子技术, 2014, 36 (4): 697- 701.
	ZHANG K , WANG X , ZHANG C K , et al. Evaluating and sequencing of air target threat based on IFE and dynamic intui-tionistic fuzzy sets[J]. Systems Engineering and Electronics, 2014, 36 (4): 697- 701.
28	CHEN S M , CHENG S H , LAN T C . Multicriteria decision making based on the TOPSIS method and similarity measures between intuitionistic fuzzy values[J]. Information Sciences, 2016, 367 (11): 279- 295.
29	杜鹏枭, 卢盈齐. 基于惩罚与激励变权和TOPSIS的空中目标威胁评估[J]. 军械工程学院学报, 2017, 29 (3): 59- 63. doi: 10.3969/j.issn.1008-2956.2017.03.011
	DU P X , LU Y Q . Air target threat evaluation based on punish- ment and encouragement variable weights and TOPSIS[J]. Journal of Ordnance Engineering College, 2017, 29 (3): 59- 63. doi: 10.3969/j.issn.1008-2956.2017.03.011
30	巴宏欣, 王俊, 杨颜靖. 基于变权灰色关联法的高超声速目标威胁评估[J]. 火力与指挥控制, 2016, 41 (11): 21- 25. doi: 10.3969/j.issn.1002-0640.2016.11.005
	BA H X , WANG J , YANG Y J . Hypersonic target threat assessment based on method of variable weight grey incidence[J]. Fire Control & Command Control, 2016, 41 (11): 21- 25. doi: 10.3969/j.issn.1002-0640.2016.11.005
31	LI D Q , HAO F L . Weights transferring effect of state variable weight vector[J]. System Engineering-Theory & Practice, 2009, 29 (6): 127- 131.
32	YAO R J , MA G W . Tendering evaluation method of hydraulic projects based on variable weight[J]. Procedia Engineering, 2012, 31, 868- 873. doi: 10.1016/j.proeng.2012.01.1114
33	杨罗章, 胡生亮, 冯士民. 基于Entropy-TOPSIS方法的目标威胁动态评估与仿真[J]. 兵工自动化, 2020, 39 (3): 53- 56.
	YANG L Z , HU S L , FENG S M . Dynamic evaluation and simulation of targets threat based on entropy and TOPSIS method[J]. Ordnance Industry Automation, 2020, 39 (3): 53- 56.
34	MARDANI A , ZAVADSKAS E K , GOVINDAN K , et al. VIKOR technique: a systematic review of the state of the art literature on methodologies and applications[J]. Sustainability, 2016,
35	SINGH S , OLUGU E U , MUSA S N , et al. Strategy selection for sustainable manufacturing with integrated AHP-VIKOR method under interval-valued fuzzy environment[J]. International Journal of Advanced Manufacturing Technology, 2016, 84 (4): 547- 563.

目标	目标类型威胁	火力打击能力	机动能力	电子对抗能力	进入角/(°)	航路捷径/km	飞临时间/s	飞行速度/Ma	高度/m
M1	大(十分确定)	极强(比较确定)	很强(比较确定)	很强(比较确定)	123	12	300	2.2	15 000
M2	较大(比较确定)	较强(一般)	中等(比较确定)	中等(比较确定)	163	5	355	1.5	6 500
M3	很大(比较确定)	很强(十分确定)	强(一般)	强(一般)	145	4	380	1	10 000
M4	较大(比较确定)	很强(不确定)	极强(一般)	较强(比较确定)	115	2	430	0.4	5 500
M5	极大(十分确定)	强(比较确定)	稍弱(一般)	较强(十分确定)	150	5	150	3	3 500
M6	稍小(一般)	很弱(比较确定)	中等(十分确定)	强(比较确定)	148	6	390	0.8	8 000

目标	F₁	F₂	F₃	F₄
M1	〈0.788 7, 0.107 2〉	〈1.0, 0〉	〈0.843 5, 0.084 1〉	〈0.843 5, 0.084 1〉
M2	〈0.643 2, 0.191 7〉	〈0.575 7, 0.244 9〉	〈0.40, 0.40〉	〈0.40, 0.40〉
M3	〈0.843 5, 0.084 1〉	〈0.890 6, 0.055 5〉	〈0.653 6, 0.20〉	〈0.653 6, 0.20〉
M4	〈0.643 2, 0.191 7〉	〈0.498 4, 0.324 9〉	〈1.0, 0〉	〈0.643 2, 0.191 7〉
M5	〈1.0, 0〉	〈0.736 8, 0.141 4〉	〈0.40, 0.424 3〉	〈0.689 4, 0.157 5〉
M6	〈0.40, 0.424 3〉	〈0.186 8, 0.704 0〉	〈0.40, 0.40〉	〈0.736 8, 0.141 4〉

参数	取值
S_i⁺	{0.928 3, 0.612 0, 0.840 1, 0.745 7, 0.784 3, 0.475 0}
S_i^-	{0.483 0, 0.799 9, 0.570 9, 0.665 9, 0.627 2, 0.936 4}
Th_i^s	{0.657 8, 0.433 5, 0.595 4, 0.528 3, 0.555 7, 0.336 6}
排序	M1＞M3＞M5＞M4＞M2＞M6

参数	取值
S_i	[0.396 6, 0.443 9, 0.668 3, 0.952 1, 0.194 7, 0.678 4]
R_i	[0.216 5, 0.293 3, 0.426 9, 0.441 3, 0.133 6, 0.415 0]
Q_i	[0.267 6, 0.405 0, 0.756 3, 1, 0, 0.748 9]
排序	M5＞M1＞M2＞M6＞M3＞M4

参数	取值
Th_i	{0.060 5, 0.138 8, 0.188 8, 0.281 3, 0, 0.330 6}
排序	M5＞M1＞M2＞M3＞M4＞M6