改进型TOPSIS在航空动力系统质量评估中的应用  

Application of Improved TOPSIS in Aircraft Power System Quality Evaluation

作　　者：韩晓明[1] 吴振亚[1] 甘林海 白沈勇 

机构地区：[1]空军工程大学防空反导学院,陕西西安710051 [2]沈阳桃仙国际机场股份有限公司,辽宁沈阳110169

出　　处：《数学的实践与认识》2015年第10期69-76,共8页Mathematics in Practice and Theory

摘　　要：针对传统逼近理想解法(TOPSIS)贴近度计算方法单一且未考虑指标之间相关性的缺点,将灰色关联度与广义马式距离相结合提出了一种改进的TOPSIS方法.该方法既弥补了因属性指标之间的相关性而导致欧式距离失效的不足,又反映了动力系统与正负理想方案之间的位置关系和数据曲线的相似性差异.最后,通过在航空动力系统质量评估中的应用验证了该方法的合理性与有效性.The improved TOPSIS with the combination of gray correlation and generalized Mahalanobis distance is proposed because of the shortages that traditional TOPSIS has a single adjacent degree calculation method and doesn＇t take linear correlation between attribute indexes into consideration. This method not only makes up for the efficacy loss of Euclidean distance which is caused by the linear correlation between attribute indexes, but also reveals the location relationship between power system schemes and differences of data curve similarity. Finally, the rationality and effectiveness of the improved TOPSIS is given by applying it in the aircraft power system quality evaluation.

关 键 词：逼近理想解排序法 马氏距离 灰色关联度 航空动力系统 质量评估 

分 类 号：V23[航空宇航科学与技术—航空宇航推进理论与工程]