基于分形理论的作战飞机研制方案经济性评价方法

An Economic Evaluation of Combat Aircraft Design Alternatives Based on Fractal Theory

将进度因素引入作战飞机研制方案经济性评价中进行多目标综合评价十分必要,然而现有多目标评价与决策方法存在着不合理线性化、多层次混合数据难于处理、主观性大等不足,分形理论揭示了非线性系统整体与局部间的规律性、层次性和标度不变性,其量化特征值分形维数是整体关键信息的定量表示,因而在对评价因素间非线性、多层次关系的处理及对评价对象整体特征值的提取上都具有明显优势。为此,构建了多目标混合层次的作战飞机方案评估指标体系,提出基于分形理论的多目标综合评估办法,通过实例分析,分形方法和基于理想点的多目标决策法结论一致,验证了该方法的有效性,并且分形方法具有简单易行、相对客观且能处理任意层次混合数据的优势。

The factor of development schedule is necessary to discuss in the economic evaluation of combat aircraft design alternatives. However, there are deficiencies in present methods, such as unreasonable lin- earization, difficulty in dealing with the multi-level data, excessive subjectivity and so on. Fractal theory reveals regularity, the hierarchy and scale invariance between the whole and partial, and the quantitative feature correlation dimension presents the key information of the whole. Obviously, the fractal theory has obvious advantages in dealing with the nonlinear relationship between the evaluation factors and extraction characteristic value of evaluation object. Due to these advantages, a multi-targets evaluation index system of combat aircraft design alternatives is constructed. An example is used to prove the effectiveness of the method, the fraetal method and the order preference by similarity to an ideal solution （TOPSIS） with the same conclusion. Moreover, fractal method is simpler, more objective, and can handle arbitrary level of mixed data.