一种基于凸优化的装备能力指标权重赋值方法

针对装备能力评估中指标权重配置问题，提出了一种基于凸优化的指标权重赋值方法。首先，介绍了装备能力评估的指标体系设计原则及流程，并以机载雷达系统为例设计了其能力评估指标体系；然后基于极大熵准则，以最大化各指标权重的熵值总和作为目标函数，专家/历史经验知识等先验信息作为约束条件，构建指标权重配置凸优化模型，并利用凸优化工具箱求解指标权重；最后，通过案例分析验证该方法的有效性与合理性。

A Weight Calculation Method of Equipment Capability Index Based on Convex Optimization

An index weight calculation method based on convex optimization is proposed to solve the index weight calculation problem for equipment capability evaluation.First,the design principles and process of the index system for equipment capability evaluation are described,and the capability evaluation index system of an airborne radar system is taken as an example to design.Then,according to the maximum entropy criterion,maximizing the sum of the entropy values of each index weight is used as the objective function,and prior information such as expert/historical experience knowledge is used as a constraint condition to construct a convex optimization model for index weight configuration,and the CVX toolbox is used to solve the convex optimization problem.Finally,the validity and rationality of the method are verified by case analysis.