基于熵与TOPSIS法的空中目标威胁判断

Research on Aerial Targets Threat Evaluation Based on Entropy and TOPSIS

摘要:

针对舰艇对空防御空中目标威胁判断指标属性权重与属性值均为区间数的情况,通过以各方案与理想方案偏差最小、与负理想方案偏差最大,以及权系数熵的最大化为优化目标,用拉格朗日乘子法给出模型的最优解,得到指标的权重值；基于区间数的4种不同的距离度量方式,建立基于TOPSIS法的威胁判断模型；通过实例对比在不同距离度量下的排序效果,结论表明采用海明距离的排序结果可信性最高。

Abstract:

For all attribute weights and values were interval numbers, through the objective of minimizing the total deviation between the alternatives and ideal object, maximizing the total deviation between the alternatives and negative ideal object, and maximizing the entropy of weights of each coefficient, the optimal solution was the best index weight coefficients, which was solved by Lagrange multiple method. Based on four different distance measure between interval numbers, the evaluating model for optimization of targets was established by applying TOPSIS rule. Lastly, the example was illustrated to compare the ranking effects by different measure. The result proved the definition of HaiMing holds the best reliability.