Systems Engineering and Electronics ›› 2020, Vol. 42 ›› Issue (12): 2811-2818.doi: 10.3969/j.issn.1001-506X.2020.12.18
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Chengxiu YANG(), Qianzhe WANG(), Jie ZHU(), Ang LI()
Received:
2020-03-19
Online:
2020-12-01
Published:
2020-11-27
CLC Number:
Chengxiu YANG, Qianzhe WANG, Jie ZHU, Ang LI. Evaluation method of radio frequency stealth performance of aircraft swarm in air combat mode[J]. Systems Engineering and Electronics, 2020, 42(12): 2811-2818.
Table 2
NWHF preference degrees of experts"
C1 | C2 | C3 | C4 | C5 | |
最优 C3 | <(0.7, 0.8), {(0.67, 0.70, 0.73), (0.77, 0.80, 0.83)}> | <(0.6, 0.7, 0.8), {(0.33, 0.41, 0.47), (0.54, 0.73, 0.86), (0.70, 0.82, 0.91)}> | <(0.5), {(0.5, 0.5, 0.5)}> | <(0.8, 0.9), {(0.77, 0.80, 0.83), (0.87, 0.9, 0.93)}> | <(0.5, 0.6), {(0.47, 0.50, 0.53), (0.57, 0.60, 0.63)}> |
最劣 C4 | <(0.5, 0.7, 0.8), {(0.45, 0.51, 0.55), (0.58, 0.72, 0.82), (0.73, 0.81, 0.87}> | <(0.5, 0.8, 0.9), {(0.43, 0.51, 0.57), (0.64, 0.83, 0.96), (0.79, 0.92, 1)}> | <(0.8, 0.9), {(0.77, 0.80, 0.83), (0.87, 0.9, 0.93)}> | <(0.5), {(0.5, 0.5, 0.5)}> | <(0.6, 0.8, 0.9), {(0.55, 0.61, 0.57), (0.64, 0.83, 0.96), (0.80, 0.92, 1)}> |
Table 3
Score-based NWHF preference degrees"
α | 最优评估因子C3 | 最劣评估因子C4 | |||||||||
C1 | C2 | C3 | C4 | C5 | C1 | C2 | C3 | C4 | C5 | ||
0.1 | 0.743 | 0.685 | 0.5 | 0.843 | 0.543 | 0.638 | 0.686 | 0.843 | 0.5 | 0.737 | |
0.3 | 0.734 | 0.670 | 0.5 | 0.834 | 0.534 | 0.617 | 0.659 | 0.834 | 0.5 | 0.716 | |
0.5 | 0.724 | 0.655 | 0.5 | 0.824 | 0.524 | 0.595 | 0.631 | 0.824 | 0.5 | 0.695 | |
0.7 | 0.714 | 0.640 | 0.5 | 0.814 | 0.514 | 0.574 | 0.604 | 0.814 | 0.5 | 0.674 | |
0.9 | 0.705 | 0.626 | 0.5 | 0.805 | 0.504 | 0.553 | 0.577 | 0.805 | 0.5 | 0.653 |
Table 5
NWHFS evaluation matrix"
评估因子 | A1 | A2 | A3 | A4 |
C1 | ({0.97, 0.973}, {(0.969, 0.97, 0.971), (0.972, 0.973, 0.974)}) | ({0.928, 0.931, 0.938}, {(0.926, 0.928, 0.931), (0.927, 0.931, 0.935), (0.936, 0.938, 0.940)}) | ({0.917, 0.920}, {(0.916, 0.917, 0.918), (0.919, 0.920, 0.921)}) | ({0.902, 0.908}, {(0.90, 0.902, 0.904), (0.906, 0.908, 0.91)}) |
C2 | ({0.997, 0.998}, {(0.9967, 0.997, 0.9973), (0.9977, 0.998, 0.9983)}) | ({0.998, 0.999}, {0.9977, 0.998, 0.9983}, (0.9987, 0.999, 0.9993)}) | ({0.996, 0.997}, {(0.9957, 0.996, 0.0.9963), (0.9967, 0.997, 0.9973)}) | ({0.997, 0.998}, {(0.9967, 0.997, 0.9973), (0.9977, 0.998, 0.9983)}) |
C3 | ({0.972, 0.975}, {(0.971, 0.972, 0.973), (0.974, 0.975, 0.976)}) | ({0.994, 0.996}, {(0.993, 0.994, 0.995), (0.995, 0.996, 0.997)}) | ({0.898, 0.906, 0.911}, {(0.896, 0.898, 0.9), (0.904, 0.909, 0.914), (0.907, 0.911, 0.915)}) | ({0.936, 0.939}, {(0.935, 0.936, 0.937), (0.938, 0.939, 0.94)}) |
C4 | ({0.9, 0.92}, {(0.894, 0.90, 0.906), (0.914, 0.92, 0.926)}) | ({0.899, 0.901, 0.904}, {(0.898, 0.899, 0.9), (0.899, 0.901, 0.903), (0.903, 0.904, 0.905)}) | ({0.864, 0.867}, {(0.863, 0.864, 0.865), (0.866, 0.867, 0.868)}) | ({0.887, 0.889}, {(0.886, 0.887, 0.888), (0.888, 0.889, 0.890)}) |
C5 | ({0.619, 0.622, 0.624}, {(0.618, 0.619, 0.620), (0.620, 0.622, 0.624), (0.623, 0.624, 0.625)}) | ({0.631, 0.633}, {(0.630, 0.631, 0.632), (0.632, 0.633, 0.634)}) | ({0.294, 0.296}, {(0.293, 0.294, 0.295), (0.295, 0.296, 0.297)}) | ({0.384, 0.386}, {(0.383, 0.384, 0.385), (0.385, 0.386, 0.387)}) |
1 | HU L P , BAI P , LIANG X L , et al. Solution and optimization of aircraft swarm cooperating anti-stealth formation configuration[J]. IEEE Access, 2018, 6 (99): 71485- 71496. |
2 |
WANG W Q . Moving-target tracking by cognitive RF stealth radar using frequency diverse array antenna[J]. IEEE Trans.on Geoscience and Remote Sensing, 2016, 54 (7): 3764- 3773.
doi: 10.1109/TGRS.2016.2527057 |
3 | WANG W Q. Adaptive RF stealth beamforming for frequency diverse array radar[C]//Proc.of the IEEE 23rd European Signal Processing Conference, 2015: 1158-1161. |
4 | FU Y J, LI Y, HUANG Q D, et al. Design and analysis of LFM/Barker RF stealth signal waveform[C]//Proc.of the 11th Conference on Industrial Electronics and Applications, 2016: 591-595. |
5 | CHANG W S , TAO H H , LIU Y B , et al. Design of synthetic aperture radar low-intercept radio frequency stealth[J]. Journal of Systems Engineering and Electronics, 2020, 31 (1): 64- 72. |
6 |
SHI C G , WANG F , SELLATHURAI M , et al. Low probability of intercept-based optimal power allocation scheme for an integrated multistatic radar and communication system[J]. IEEE Systems Journal, 2020, 14 (1): 983- 994.
doi: 10.1109/JSYST.2019.2931754 |
7 | WANG F , SELLATHURAI M , LIU W G , et al. Security information factor based airborne radar RF stealth[J]. Journal of Systems Engineering and Electronics, 2015, 26 (2): 258- 266. |
8 | 何召阳, 王谦喆, 宋博文, 等. 雷达信号波形域射频隐身性能评估方法[J]. 系统工程与电子技术, 2017, 39 (10): 2234- 2238. |
HE Z Y , WANG Q Z , SONG B W , et al. RF stealth performance evaluation method for radar signal waveform[J]. Systems Engineering and Electronics, 2017, 39 (10): 2234- 2238. | |
9 | 曾小东. 基于层次分析法的射频隐身性能评估[J]. 现代雷达, 2018, 40 (8): 16- 19. |
ZENG X D . RF stealth efficiency evaluation based on the analytic hierarchy process[J]. Modern Radar, 2018, 40 (8): 16- 19. | |
10 | 吴华, 史忠亚, 沈文迪, 等. 基于改进G-GIFSS算法的雷达LPI性能评估方法[J]. 系统工程与电子技术, 2017, 39 (6): 1256- 1260. |
WU H , SHI Z Y , SHEN W D , et al. Radar LPI performance assessment method based on extended G-GIFSS algorithm[J]. Systems Engineering and Electronics, 2017, 39 (6): 1256- 1260. | |
11 | YANG C X, WANG Q Z, PENG W D, et al. Multi-domain evaluation method for RF stealth performance based on IFA-TOPSIS with hesitant fuzzy sets[C]//Proc.of the Optoelectronic Devices and Integration, 2019. |
12 |
REN Z L , XU Z S , WANG H . Normal wiggly hesitant fuzzy sets and their application to environmental quality evaluation[J]. Knowledge-Based Systems, 2018, 159, 286- 297.
doi: 10.1016/j.knosys.2018.06.024 |
13 | TORRA V . Hesitant fuzzy sets[J]. International Journal of Intelligent Systems, 2010, 25 (6): 529- 539. |
14 |
CHEN N , XU Z S , XIA M M . Interval-valued hesitant preference relations and their applications to group decision making[J]. Knowledge-Based Systems, 2013, 37, 528- 540.
doi: 10.1016/j.knosys.2012.09.009 |
15 | YU D . Triangular hesitant fuzzy set and its application to teaching quality evaluation[J]. Journal of Information & Computational Science, 2013, 10 (7): 1925- 1934. |
16 |
NARAYANAMOORTHY S , RAMYA L , BALEANU D , et al. Application of normal wiggly dual hesitant fuzzy sets to site selection for hydrogen underground storage[J]. International Journal of Hydrogen Energy, 2019, 44 (54): 28874- 28892.
doi: 10.1016/j.ijhydene.2019.09.103 |
17 | LIU P D , XU H X , GENG Y S . Normal wiggly hesitant fuzzy linguistic power Hamy mean aggregation operators and their application to multi-attribute decision-making[J]. Computers & Industrial Engineering, 2020, 140, 106224. |
18 |
LIU P D , XU H X , PEDRYCZ W . A normal wiggly hesitant fuzzy linguistic projection-based multiattributive border approximation area comparison method[J]. International Journal of Intelligent Systems, 2020, 35 (3): 432- 469.
doi: 10.1002/int.22213 |
19 | LIU Z , LI L , WANG X , et al. A novel multiple attribute decision making method based on (power Muirhead mean operator under normal wiggly hesitant fuzzy environment)[J]. Journal of Intelligent & Fuzzy Systems, 2019, 37 (5): 7003- 7023. |
20 |
YANG C , WANG Q , PENG W , et al. A normal wiggly pythagorean hesitant fuzzy bidirectional projection method and its application in EV power battery recycling mode selection[J]. IEEE Access, 2020, 8, 62164- 62180.
doi: 10.1109/ACCESS.2020.2984242 |
21 | YANG C X , WANG Q Z , PENG W D , et al. A multi-criteria group decision-making approach based on improved BWM and MULTIMOORA with normal wiggly hesitant fuzzy information[J]. International Journal of Computational Intelligence Systems, 2020, 13 (1): 366- 381. |
22 |
REZAEI J . Best-worst multi-criteria decision-making method[J]. Omega, 2015, 53, 49- 57.
doi: 10.1016/j.omega.2014.11.009 |
23 |
ALI A , RASHID T . Hesitant fuzzy best-worst multi-criteria decision-making method and its applications[J]. International Journal of Intelligent Systems, 2019, 34 (8): 1953- 1967.
doi: 10.1002/int.22131 |
24 | MI X M , LIAO H C . An integrated approach to multiple criteria decision making based on the average solution and normalized weights of criteria deduced by the hesitant fuzzy best worst method[J]. Computers & Industrial Engineering, 2019, 133, 83- 94. |
25 |
LIAO H C , MI X M , YU Q , et al. Hospital performance evaluation by a hesitant fuzzy linguistic best worst method with inconsistency repairing[J]. Journal of Cleaner Production, 2019, 232, 657- 671.
doi: 10.1016/j.jclepro.2019.05.308 |
26 |
LIU A J , JI X H , LU H , et al. The selection of 3PRLs on self-service mobile recycling machine: interval-valued Pythagorean hesitant fuzzy best-worst multi-criteria group decision-making[J]. Journal of Cleaner Production, 2019, 230, 734- 750.
doi: 10.1016/j.jclepro.2019.04.257 |
27 |
LI J , WANG J Q , HU J H . Multi-criteria decision-making method based on dominance degree and BWM with probabilistic hesitant fuzzy information[J]. International Journal of Machine Learning and Cybernetics, 2019, 10 (7): 1671- 1685.
doi: 10.1007/s13042-018-0845-2 |
28 | MOU Q , XU Z S , LIAO H C . A graph based group decision making approach with intuitionistic fuzzy preference relations[J]. Computers & Industrial Engineering, 2017, 110, 138- 150. |
29 | HE Z Y, WANG Q Z, SONG B W. Multi domain joint evaluation method for radio frequency stealth performance of airborne electron[C]//Proc.of the IEEE 3rd International Conference on Computer and Communications, 2017: 2732-2736. |
30 |
SHI C G , ZHOU J J , WANG F . Adaptive resource management algorithm for target tracking in radar network based on low probability of intercept[J]. Multidimensional Systems and Signal Processing, 2018, 29 (4): 1203- 1226.
doi: 10.1007/s11045-017-0494-8 |
31 | 何杰.飞机射频隐身性能评估指标研究与软件实现[D].南京:南京航空航天大学, 2015. |
HE J. Research on aircraft RF stealth performance evaluation indexes and simulation system implementation[D]. Nanjing: Nanjing University of Aeronautics and Astronautics, 2015. |
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