基于Shapley-TOPSIS的辐射源威胁评估  

Radiator Threat Evaluating Based on Shapley-TOPSIS

作　　者：徐宇恒 程嗣怡[1] 周一鹏[1] 索中英[2] 彭树铭 XU Yuheng;CHENG Siyi;ZHOU Yipeng;SUO Zhongying;PENG Shuming(Aeronautics Engineering College,Air Force Engineering University,Xi’an 710038,China;Department of Basic Sciences,Air Force Engineering University,Xi’an 710051,China;Unit 95899,Beijing 100085,China)

机构地区：[1]空军工程大学航空工程学院,西安710038 [2]空军工程大学基础部,西安710051 [3]95899部队,北京100085

出　　处：《空军工程大学学报（自然科学版）》2020年第2期91-96,共6页Journal of Air Force Engineering University(Natural Science Edition)

摘　　要：针对雷达对抗领域辐射源威胁评估问题,利用基于Shapley值的优势关系粗糙集客观权重分配法克服主观赋值、不依赖先验知识的优点,与TOPSIS(逼近理想解排序)结合,提出一种基于Shapley-TOPSIS的辐射源威胁评估模型。首先,区分收益型和成本型对属性指标进行规范化,构建目标集与属性集的评判矩阵;然后,利用优势关系进行属性约简,并基于Shapley值确定各属性权重,再利用属性权重更新评判矩阵;最后,计算得到模型的正、负理想解,分别求解各辐射源的贴近度,进行辐射源威胁等级排序。仿真结果表明,与基于专家系统赋值的TOPSIS模型相比,文中模型综合考虑了各属性的相互关系,威胁等级排序结果更准确。Aiming at the problem of radiator threat evaluating in radar countermeasures field,an objective weight distribution method based on Shapley value is used to overcome the advantages of subjective assignment and not relying on prior knowledge.Combined with TOPSIS(Technique for Order Preference by Similarity to an Ideal Solution),a radiator threat assessment model based on Shapley-TOPSIS is proposed.Firstly,the evaluation matrix of target set and attribute set is constructed by distinguishing benefit type and cost type and standardize the attribute indexes.Then,the advantage relation is used for attribute reduction,and the weight of each attribute is determined based on Shapley value,and the attribute weight is used to update the evaluation matrix.Finally,the positive and negative ideal solutions of the model were obtained,and the proximity degree of each radiator was solved respectively,and the threat ranking of radiator was conducted.The simulation results show that,compared with TOPSIS model based on expert system assignment,the model in this paper comprehensively considers the relationship between various attributes,and the result of threat ranking is more accurate.

关 键 词：SHAPLEY值 优势关系 TOPSIS 威胁等级排序 

分 类 号：TN97[电子电信—信号与信息处理]