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TOPSIS missile target selection method supported by the posterior probability of target recognition


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Fig. 1

Ideal solution and negative ideal solution schemes
Ideal solution and negative ideal solution schemes

Fig. 2

Principle diagram of TOPSIS selection method with support of recognition posterior probability. TOPSIS, technique for order preference by similarity to ideal solution
Principle diagram of TOPSIS selection method with support of recognition posterior probability. TOPSIS, technique for order preference by similarity to ideal solution

Fig. 3

Missile axis symmetric ‘four targets’
Missile axis symmetric ‘four targets’

The classification recognition outcome

Classification method RCS frequency domain statistical feature Polarisation feature HRRP radial size feature Comprehensive feature
BP neural network 69.66% 75.28% 82.02% 84.27%
Radial basis network (RBF) 74.16% 78.65% 86.52% 88.76%
SVM 80.09% 78.65% 87.64% 92.75%
TOPSIS comprehensive decision-making 97.75%

Distance of each class to the ideal spot and negative ideal spot

Object Target type di* d_i^* di0 d_i^0 Ci* C_i^*
Real warship Warship 0 0.6356 1.0000
Chaff cloud 0.6092 0.1601 0.2082
Corner reflector 0.3768 0.3610 0.4893
False target 1 (corner reflector) Warship 0.6119 0.4143 0.4037
Chaff cloud 0.7750 0.0000 0
Corner reflector 0.0269 0.7653 0.9661
False target 2 (chaff cloud) Warship 0.4884 0.2970 0.3781
Chaff cloud 0.0982 0.6729 0.8726
Corner reflector 0.6971 0.0000 0.0000
False target 3 (chaff cloud) Warship 0.5207 0.3440 0.3978
Chaff cloud 0.1833 0.6951 0.7913
Corner reflector 0.7418 0.0000 0.0000
False target 4 (chaff cloud) Warship 0.4970 0.2058 0.2928
Chaff cloud 0.0000 0.6663 1.0000
Corner reflector 0.6663 0.0000 0.0000
False target 5 (chaff cloud) Warship 0.3909 0.4127 0.5135
Chaff cloud 0.0678 0.6110 0.9001
Corner reflector 0.6465 0.0000 0.0000

Decision matrix

Object Target type RCS frequency domain feature (BP) Polarisation feature (RBF) Radial size (SVM)
Real warship Warship 0.4642037 0.607021 0.401691
Chaff cloud 0.1075953 0.1135784 0.379228
Corner reflector 0.428201 0.2794006 0.219081
False target 1 (corner reflector) Warship 0.412431 0.4401453 0.1364145
Chaff cloud 0.120652 0.146565 0.1177154
Corner reflector 0.466917 0.4132897 0.7458701
False target 2 (chaff cloud) Warship 0.312082 0.2197485 0.438642
Chaff cloud 0.561797 0.6395 0.340408
Corner reflector 0.126121 0.1407515 0.22095
False target 3 (chaff cloud) Warship 0.317219 0.2038501 0.486033
Chaff cloud 0.559468 0.664808 0.302723
Corner reflector 0.123313 0.1313419 0.211244
False target 4 (chaff cloud) Warship 0.316303 0.2121808 0.330903
Chaff cloud 0.520689 0.647954 0.454883
Corner reflector 0.163008 0.1398652 0.214214
False target 5 (chaff cloud) Warship 0.477049 0.2406688 0.379228
Chaff cloud 0.40926 0.63095 0.401691
Corner reflector 0.113691 0.1283812 0.219081
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Life Sciences, other, Mathematics, Applied Mathematics, General Mathematics, Physics