| 摘要: |
| 针对装备能力指标权重赋值过程中过于依赖专家经验且量化评估结果不够精确等问题,提出了一种基于理想解的装备能力指标权重计算与量化评估的方法。首先,基于指标体系设计原则,以电磁频谱探测装备为例,构建了相应的能力评估指标体系。然后,通过最小化各装备与理想解之间的加权欧氏距离和最大化各指标权重熵值总和作为优化准则,构建指标权重配置凸优化模型,并利用凸优化算法求解各指标权重。最后,在逼近理想解排序法(Technique for Order Preference by Similarity to Ideal Solution,TOPSIS)的框架下,结合灰色关联分析,计算各装备的综合贴近度,从而实现对各装备的能力评估及排序。仿真分析验证了所提方法的有效性与合理性。 |
| 关键词: 装备能力评估 优化模型 权重配置 理想解 |
| DOI:10.20079/j.issn.1001-893x.250516003 |
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| 基金项目: |
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| An Index Weight Calculation and Quantitative Evaluation Method of Equipment Capability Based on Ideal Solution |
| GE Mengmeng |
| (Southwest China Institute of Electronic Technology,Chengdu 610036,China) |
| Abstract: |
| To address the problems of overdependence on expert experience during weight determination and imprecise quantification in equipment capability assessment,a method is proposed for index weight calculation and quantitative evaluation of equipment capability based on the ideal solution.Firstly,according to the principles of index system design,by taking electromagnetic spectrum detection equipment as an example,a capability evaluation index system is constructed.Then,by minimizing the weighted Euclidean distance between equipment and the ideal solution and maximizing the total entropy value of each index weight as optimization criterion,a convex optimization model for index weight configuration is constructed,and the weights are solved using convex optimization algorithms.Finally,within the framework of Technique for Order Preference by Similarity to Ideal Solution(TOPSIS),according to grey relational analysis,the comprehensive closeness of each equipment is calculated,thus achieving capability evaluation and ranking of equipment.The effectiveness and rationality of the proposed method are verified through simulation analysis. |
| Key words: equipment capability evaluation optimization model weight configuration ideal solution |