基于直觉模糊多属性决策的动态威胁评估模型
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摘要
针对防空作战中目标多属性及其属性值动态变化的特点,提出了一种基于直觉模糊多属性决策的动态威胁评估方法。首先,针对目标属性权重未知的情况,在综合考查决策者主观偏好和客观信息的基础上,建立了线性加权的属性权重优化模型,确定了目标属性权重;其次,针对传统威胁评估算法仅研究当前时刻属性信息的片面性,运用了泊松分布法对时间序列赋权,实现了多时刻目标信息的融合,考查了作战态势的动态变化过程;然后,采用TOPSIS的思想求解目标归一化的威胁值,从而得到来袭目标的动态威胁排序结果;最后,通过仿真实例验证了算法的灵活性和合理性,为防空作战决策者提供更加有效的辅助决策。
Aiming at the characteristics of target multi-attribute and dynamic changes of attribute values in air defense operations,this paper proposed a method of dynamic threat assessment based on intuitionistic fuzzy multiple attribute decision making.Firstly,aiming at the unknown weight of target attribute,based on the basis of comprehensive investigation in subjective preference of decision-makers(DMs) and objective information,this paper established a linear weighted attribute weight optimization model,and determined the weight of target attributes.Secondly,in view of the one-sidedness of the traditional threat assessment algorithms which only study the current time attribute information,the Poisson distribution method was used to empower the time series,the fusion of multi-time target information was realized and the dynamic change process of the combat situation was investigated.Thirdly,the idea of TOPSIS was used to solve the normalized threat value of targets,and then the dynamic threat ranking results of the incoming targets were obtained.The simulation example shows the flexibility and rationality of the proposed algorithm,which provides more effective auxiliary decision-making for air defense combat DMs.
Aiming at the characteristics of target multi-attribute and dynamic changes of attribute values in air defense operations,this paper proposed a method of dynamic threat assessment based on intuitionistic fuzzy multiple attribute decision making.Firstly,aiming at the unknown weight of target attribute,based on the basis of comprehensive investigation in subjective preference of decision-makers(DMs) and objective information,this paper established a linear weighted attribute weight optimization model,and determined the weight of target attributes.Secondly,in view of the one-sidedness of the traditional threat assessment algorithms which only study the current time attribute information,the Poisson distribution method was used to empower the time series,the fusion of multi-time target information was realized and the dynamic change process of the combat situation was investigated.Thirdly,the idea of TOPSIS was used to solve the normalized threat value of targets,and then the dynamic threat ranking results of the incoming targets were obtained.The simulation example shows the flexibility and rationality of the proposed algorithm,which provides more effective auxiliary decision-making for air defense combat DMs.
引文
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[11] WANG J Q,WANG P.Intuitionistic linguistic fuzzy mufti-criteria decision-making method based on intuitionistic fuzzy entropy[J].Control and Decision,2012,27(11):1694-1698.(in Chinese)王坚强,王佩.基于直觉模糊熵的直觉语言多准则决策方法[J].控制与决策,2012,27(11):1694-1698.
[12] VERMA R,SHARMA B D.Exponential entropy on intuitio- nistic fuzzy sets[J].Kybernetika-Praha,2013,49(1):114-127.
[13] WANG T R,LIU J,LI J Z,et al.An integrating OWA-TOPSIS framework in intuitionistic fuzzy settings for multiple attribute decision making[J].Computers and Industrial Engineering,2016,2016(98):185-194.
[14] WANG Y,LIU S Y,ZHANG W,et al.Threat assessment me- thod with uncertain attribute weight based on intuitionistic fuzzy multi-attribute decision[J].Acta Electronica Sinica,2014,42(12):2509-2514.(in Chinese)王毅,刘三阳,张文,等.属性权重不确定的直觉模糊多属性决策的威胁评估方法[J].电子学报,2014,42(12):2509-2514.
[15] ATANASSOV K T.Intuitionistic fuzzy sets[J].Fuzzy Sets and Systems,1986,1986(20):87-96.
[16] 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.(in Chinese)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.
[17] XU Z S,ZHAO N.Information fusion for intuitionistic fuzzy decision making:an overview[J].Information Fusion,2016,2016(28):10-23.
[18] ZHANG H W,XIE J W,SHENG C,et al.Target threat assessment based on improved grey correlation algorithm[J].Compu-ter Engineering and Science,2017,39(10):1908-1914.(in Chinese)张浩为,谢军伟,盛川,等.基于改进灰色关联算法的目标威胁评估[J].计算机工程与科学,2017,39(10):1908-1914.
[19] OUYANG Y,PEDRYCZ W.A new model for intuitionistic fuzzy multi-attributes decision making[J].European Journal of Operational Research,2016,2016(249):677-682.
[2] LEI Y J,WANG B S,WANG Y.Techniques for threat assessment based on intuitionistic fuzzy reasoning[J].Journal of Electronics and Information Technology,2007,29(9):2077-2081.(in Chinese)雷英杰,王宝树,王毅.基于直觉模糊推理的威胁评估方法[J].电子与信息学报,2007,29(9):2077-2081.
[3] WANG G,GUO L,HONG D.Wavelet neural network using multiple wavelet functions in target threat assessment[J].The Scientific World Journal,2013,2013(1):632437.
[4] CHEN S M,CHANG C H.Fuzzy multi-attribute decision ma- king based on transformation techniques of intuitionistic fuzzy values and intuitionistic fuzzy geometric averaging operators[J].Information Sciences,2016,352-353(C):133-149.
[5] 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.
[6] LI T,FENG Q,ZHANG K.Threat assessment based on entropy weight grey incidence and D-S theory of evidence[J].Application Research of Computers,2013,30(2):380-382.(in Chinese)李特,冯琦,张堃.基于熵权灰色关联和D-S证据理论的威胁评估[J].计算机应用研究,2013,30(2):380-382.
[7] GAO X G,LI Q Y,DI R H,et,al.MPC three-dimensional dynamic path planning for UAV based on DBN threat assessment[J].Systems Engineering and Electronics,2014,36(11):2199-2205.(in Chinese)高晓光,李青原,邸若海,等.基于DBN威胁评估的MPC无人机三位动态路径规划[J].系统工程与电子技术,2014,36(11):2199-2205.
[8] KUMAR S,TRIPATHI B K.Modelling of threat evaluation for dynamic targets using bayesian network approach[J].Procedia Technology,2016,2016(24):1268-1275.
[9] BORAN F E,GEN? S,KURT M,et al.A multi-criteria intui- tionistic fuzzy group decision making for supplier selection with TOPSIS method[J].Expert Systems with Application,2009,36(8):11363-11368.
[10] WANG Y,LIU S Y,NIU W,et al.Threat assessment method based on intuitionistic fuzzy similarity measurement reasoning with orientation[J].Information Security,2014,2014(6):119-128.
[11] WANG J Q,WANG P.Intuitionistic linguistic fuzzy mufti-criteria decision-making method based on intuitionistic fuzzy entropy[J].Control and Decision,2012,27(11):1694-1698.(in Chinese)王坚强,王佩.基于直觉模糊熵的直觉语言多准则决策方法[J].控制与决策,2012,27(11):1694-1698.
[12] VERMA R,SHARMA B D.Exponential entropy on intuitio- nistic fuzzy sets[J].Kybernetika-Praha,2013,49(1):114-127.
[13] WANG T R,LIU J,LI J Z,et al.An integrating OWA-TOPSIS framework in intuitionistic fuzzy settings for multiple attribute decision making[J].Computers and Industrial Engineering,2016,2016(98):185-194.
[14] WANG Y,LIU S Y,ZHANG W,et al.Threat assessment me- thod with uncertain attribute weight based on intuitionistic fuzzy multi-attribute decision[J].Acta Electronica Sinica,2014,42(12):2509-2514.(in Chinese)王毅,刘三阳,张文,等.属性权重不确定的直觉模糊多属性决策的威胁评估方法[J].电子学报,2014,42(12):2509-2514.
[15] ATANASSOV K T.Intuitionistic fuzzy sets[J].Fuzzy Sets and Systems,1986,1986(20):87-96.
[16] 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.(in Chinese)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.
[17] XU Z S,ZHAO N.Information fusion for intuitionistic fuzzy decision making:an overview[J].Information Fusion,2016,2016(28):10-23.
[18] ZHANG H W,XIE J W,SHENG C,et al.Target threat assessment based on improved grey correlation algorithm[J].Compu-ter Engineering and Science,2017,39(10):1908-1914.(in Chinese)张浩为,谢军伟,盛川,等.基于改进灰色关联算法的目标威胁评估[J].计算机工程与科学,2017,39(10):1908-1914.
[19] OUYANG Y,PEDRYCZ W.A new model for intuitionistic fuzzy multi-attributes decision making[J].European Journal of Operational Research,2016,2016(249):677-682.