电光与控制, 2013, 20 (11): 21, 网络出版: 2013-12-04
舰艇编队超视距反导威胁评估指标主观权重确定
Subjective Weight Determination of Warship Formation in OvertheHorizon AntiMissile Threat Estimation
舰艇编队 超视距反导 威胁估计指标体系 主观权重确定 warship formation overthehorizon antimissile threat estimation index subjective weight determination
摘要
针对舰艇编队超视距反导威胁评估指标主观权重确定问题,建立威胁评估指标体系。分别针对决策者给出的语言型、效用值型、序关系值型、模糊互补判断矩阵型、互反判断矩阵型以及区间数型指标权重信息建立了指标权重确定的最优化模型,将主观指标权重确定问题建模为多目标约束优化问题,在得出各种类型权重信息矩阵的规范化系数的基础上采用线性加权的方法将其变为单目标约束优化问题,并给出了指标主观权重解。仿真结果显示,该方法能够直接集结决策者给出的多种类型的指标权重确定信息,且能够准确地得到舰艇编队超视距反导威胁评估主观权重,计算量小、易于进行工程推广,能够为舰艇编队超视距反导作战辅助决策系统设计提供一定的理论支持。
Abstract
Aiming at subjective weight determination of warship formation in overthehorizon antimissile threat estimationwe established a threat estimation index systemand built up the optimal index subjective weight determination models of linguistic typeutility typeorder relationship typefuzzy preference relationship typemultiplicative preference relationship type and interval utility type information given by the experts.The subjective weight determination was then transformed into a multiobjective constraint problemand the normalization coefficients for the index weight information matrices were obtained.Thenlinear weighting method was used to turn it into single objective constraint modelsand the index subjective weights were obtained.A numerical example was given to illustrate the method.The result demonstrates that this method can concentrate multitype index weight informationand can obtain warship formation overthehorizon antimissile threat estimation index subjective weight precisely.The method is easy for engineering realizationand provides a theoretical support for the design of overthehorizonantimissileassistant decisionmaking system for warship formation.
李大鹏, 谭乐祖, 黎漫斯. 舰艇编队超视距反导威胁评估指标主观权重确定[J]. 电光与控制, 2013, 20(11): 21. LI Dapeng, TAN Lezu, LI Mansi. Subjective Weight Determination of Warship Formation in OvertheHorizon AntiMissile Threat Estimation[J]. Electronics Optics & Control, 2013, 20(11): 21.