Multi-attribute Index Processing Method of Target Threat Assessment in Ground Combat
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摘要: 评估指标的量化处理是目标威胁评估(Threat assessment, TA)算法应用的基础.本文针对地面作战目标威胁评估指标类型多样和难以量化的问题, 系统地提出了一种多属性威胁指标的量化方法, 并将指标量化结果转化为统一的直觉模糊集(Intuitionistic fuzzy set, IFS)表示形式.研究了地面作战目标威胁评估指标如目标距离、速度、攻击角度、类型、通视条件和作战环境等, 通过模糊评价语言、区间数、实数、三角模糊数等方式进行量化, 最大限度地保留指标不确定信息并降低实际应用的复杂度; 提出了不同表示形式的威胁指标数据与直觉模糊数的转化原则和转化方法, 并给出了理论可行性的数学证明.通过一个地面作战目标威胁评估的多属性指标处理实例, 验证了该方法在多属性指标量化和直觉模糊集表示中的合理性, 说明了该方法能够为目标威胁评估提供科学的评估数据.Abstract: Quantitative processing of evaluation indexes is the application basis of target threat assessment (TA) algorithm. Aiming at the problems that the TA indexes of ground combat targets are various and difficult to quantify, this paper proposes a quantization method of multi-attribute threat indexes systematically, and transforms the quantization results of indexes into a unified intuitionistic fuzzy set (IFS) representation. TA indexes such as target distance, velocity, attack angle, type, visual condition and combat environment are studied. Fuzzy evaluation language, interval number, real number and triangular fuzzy number are used to quantify the indexes in TA. The uncertain information of the indexes is retained with the maximum extent and the complexity of practical applications is reduced. The transformation principle and method that threat indexes in different forms transform into intuitionistic fuzzy number are put forward, and the mathematical proof of theoretical feasibility is given. An example of multi-attribute indexes processing for TA of ground combat targets is given to verify the rationality of the proposed method in quantifying multi-attribute indexes and transforming them into IFS. It shows that the proposed method can provide scientific evaluation data for target TA.
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Key words:
- Ground combat /
- threat assessment (TA) /
- multi-attribute index /
- intuitionistic fuzzy sets (IFS)
1) 本文责任编委 魏庆来 -
表 1 确定程度的区间值对应关系
Table 1 Determination degree corresponding to interval values
确定程度 $L$ $U$ $c_5$ (十分确定) 0.9 1 $c_4$ (比较确定) 0.6 0.9 $c_3$ (一般) 0.4 0.6 $c_2$ (不太确定) 0.2 0.4 $c_1$ (不确定) 0 0.2 
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表 2 模糊评价语言标度与IFN的转化
Table 2 Scale of fuzzy evaluation language and transformation to IFN
模糊评价 直觉模糊数 语言标度 $\mu $ $\upsilon $ $\pi $ $\alpha =10$ (极大) 1 0 0 $\alpha =9$ (很大) 0.9 0.05 0.05 $\alpha =8$ (大) 0.8 0.1 0.1 $\alpha =7$ (较大) 0.7 0.15 0.15 $\alpha =6$ (稍大) 0.55 0.3 0.15 $\alpha =5$ (中等) 0.4 0.4 0.2 $\alpha =4$ (稍小) 0.4 0.45 0.15 $\alpha =3$ (较小) 0.3 0.55 0.15 $\alpha =2$ (小) 0.2 0.7 0.1 $\alpha =1$ (很小) 0.1 0.85 0.05 $\alpha =0$ (极小) 0 1 0
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表 3 目标威胁评估指标参数
Table 3 Index parameters of target threat assessment
目标 $f_1$ $f_2$ $f_3$ $f_4$ $f_5$ $f_6$ $f_7$ $f_8$ $f_9$ $T_1$ 大(十分确定) 较大(比较确定) 大(比较确定) 大(比较确定) [25, 30] [120, 150] 2 500 [0.7, 1] 良 $T_2 $ 较大(比较确定) 大(一般) 大(比较确定) 较大(比较确定) [30, 35] [180, 210] 2 000 [0.3, 0.7] 良 $T_3$ 中等(比较确定) 稍小(十分确定) 较大(一般) 较大(一般) [15, 20] [150, 180] 2 200 [0.7, 1] 良 $T_4$ 较大(比较确定) 小(不确定) 大(一般) 中等(比较确定) [15, 20] [90, 150] 1 800 [0.3, 0.7] 良 $T_5$ 很大(十分确定) 大(比较确定) 很大(一般) 很大(十分确定) [100, 150] [135, 180] 4 200 [0.7, 1] 优 $T_6$ 很小(一般) 小(比较确定) 很小(十分确定) 很小(比较确定) [5, 8] [150, 210] 800 [0.7, 1] 良
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表 4 目标距离威胁度
Table 4 Threat degree of target distance to IFN
目标 打击距离 有效侦察距离 距离威胁度 直觉模糊数表示 $T_1$ 2 500 3 500 0.40 $\left\langle 0.47, 0.33 \right\rangle$ $T_2$ 2 500 3 500 0.52 $\left\langle0.61, 0.19\right\rangle$ $T_3$ 2 400 3 200 0.45 $\left\langle0.53, 0.27\right\rangle$ $T_4$ 3 000 3 500 0.64 $\left\langle0.75, 0.05\right\rangle$ $T_5$ 5 000 6 000 0.68 $\left\langle0.8, 0\right\rangle$ $T_6$ 800 1 000 0.30 $\left\langle0.35, 0.45\right\rangle$
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表 5 目标攻击角度威胁度
Table 5 Threat degree of target attack angle
目标 目标攻击角度 我方武器攻击角度 目标攻击角度威胁度 直觉模糊数表示 $T_1$ [120, 150] [$-15$, 15] [0.29, 0.46] $\left\langle0.41, 0.35\right\rangle$ $T_2$ [180, 210] [0, 30] [0.50, 0.67] $\left\langle0.71, 0.06\right\rangle$ $T_3$ [150, 180] [$-30$, 0] [0.33, 0.5] $\left\langle0.47, 0.29\right\rangle$ $T_4$ [90, 150] [$-15$, 15] [0.21, 0.46] $\left\langle0.29, 0.35\right\rangle$ $T_5$ [135, 180] [$-45$, 0] [0.25, 0.5] $\left\langle0.35, 0.29\right\rangle$ $T_6$ [150, 210] [15, 45] [0.46, 0.71] $\left\langle0.65, 0\right\rangle$
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表 6 目标速度威胁度
Table 6 Threat degree of target speed
目标 目标速度 速度威胁度 直觉模糊数表示 $T_1$ [25, 30] [0.50, 0.60] $\left\langle0.67, 0.2\right\rangle$ $T_2$ [30, 35] [0.60, 0.70] $\left\langle0.8, 0.07\right\rangle$ $T_3$ [15, 20] [0.30, 0.40] $\left\langle0.4, 0.47\right\rangle$ $T_4$ [15, 20] [0.30, 0.40] $\left\langle0.4, 0.47\right\rangle$ $T_5$ [100, 150] [0.50, 0.75] $\left\langle0.67, 0\right\rangle$ $T_6$ [5, 10] [0.33, 0.53] $\left\langle0.44, 0.29\right\rangle$
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表 7 目标威胁评估指标参数
Table 7 Index parameters of target threat assessment
目标 $f_1$ $f_2$ $f_3$ $f_4$ $f_5$ $f_6$ $f_7$ $f_8$ $f_9$ $T_1$ $\left\langle0.79, 0.11\right\rangle$ $\left\langle0.64, 0.19\right\rangle$ $\left\langle0.79, 0.11\right\rangle$ $\left\langle0.79, 0.11\right\rangle$ $\left\langle0.67, 0.2\right\rangle$ $\left\langle0.41, 0.35\right\rangle$ $\left\langle0.47, 0.33\right\rangle$ $\left\langle0.7, 0\right\rangle$ $\left\langle0.5, 0.3\right\rangle$ $T_2$ $\left\langle0.64, 0.19\right\rangle$ $\left\langle0.65, 0.2\right\rangle$ $\left\langle0.74, 0.14\right\rangle$ $\left\langle0.64, 0.19\right\rangle$ $\left\langle0.8, 0.07\right\rangle$ $\left\langle0.71, 0.06\right\rangle$ $\left\langle0.61, 0.19\right\rangle$ $\left\langle0.3, 0.3\right\rangle$ $\left\langle0.5, 0.3\right\rangle$ $T_3$ $\left\langle0.4, 0.4\right\rangle$ $\left\langle0.4, 0.45\right\rangle$ $\left\langle0.65, 0.2\right\rangle$ $\left\langle0.65, 0.2\right\rangle$ $\left\langle0.4, 0.47\right\rangle$ $\left\langle0.47, 0.29\right\rangle$ $\left\langle0.53, 0.27\right\rangle$ $\left\langle0.7, 0\right\rangle$ $\left\langle0.5, 0.3\right\rangle$ $T_4$ $\left\langle0.64, 0.19\right\rangle$ $\left\langle0.21, 0.68\right\rangle$ $\left\langle0.65, 0.2\right\rangle$ $\left\langle0.4, 0.4\right\rangle$ $\left\langle0.4, 0.47\right\rangle$ $\left\langle0.29, 0.35\right\rangle$ $\left\langle0.75, 0.05\right\rangle$ $\left\langle0.3, 0.3\right\rangle$ $\left\langle0.5, 0.3\right\rangle$ $T_5$ $\left\langle0.89, 0.06\right\rangle$ $\left\langle0.74, 0.14\right\rangle$ $\left\langle0.76, 0.14\right\rangle$ $\left\langle0.89, 0.06\right\rangle$ $\left\langle0.67, 0\right\rangle$ $\left\langle0.35, 0.29\right\rangle$ $\left\langle0.8, 0\right\rangle$ $\left\langle0.7, 0\right\rangle$ $\left\langle0.7, 0.1\right\rangle$ $T_6$ $\left\langle0.27, 0.58\right\rangle$ $\left\langle0.26, 0.61\right\rangle$ $\left\langle0.12, 0.82\right\rangle$ $\left\langle0.19, 0.7\right\rangle$ $\left\langle0.44, 0.29\right\rangle$ $\left\langle0.65, 0\right\rangle$ $\left\langle0.35, 0.45\right\rangle$ $\left\langle0.7, 0\right\rangle$ $\left\langle0.5, 0.3\right\rangle$
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表 8 目标威胁评估结果
Table 8 Target threat assessment results
$S_{i}^{+}$ $[0.863, 0.858, 0.745, 0.699, 0.950, 0.601]$ $S_{i}^{-}$ $[0.646, 0.651, 0.764, 0.810, 0.559, 0.908]$ $p_i$ $[0.572, 0.569, 0.494, 0.463, 0.629, 0.398]$ 排序 $T_5>T_1> T_2> T_3> T_4>T_6$
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