模糊数学在飞行试验数据处理中的应用

介绍了模糊数学在数据处理中的两类典型应用，以模糊集合思想为基础，利用布尔代数特有的性质，经广义相似计算，建立了发动机飞行任务剖面样本的隶属函数模糊矩阵；并用平方法检验该矩阵是否满足模糊等价条件，在满足时选取不同阈值进行动态聚类，在此基础上确定发动机典型任务剖面，通过对飞行试验数据预处理以及外场调查，共取得１１８个架次过载系数最大值样本，最得各种模式概率密度函数和分布函数，并应用模糊数学模式识别方法

THE APPLICATIONS OF FUZZY MATH IN DATA PROCESSING

The paper deals with the determination of typical mission profiles of jetengines from a varity of flight parameters. From the views of the philosphy,precisionmath is a developed science based on the shape and numeric,it can describe the events ofclear boundary but it has limitations. For example,it can not use to process non-quanti-ty projects. The author used clustering method of fuzzy math to construct fuzzy set bycorrelated coefficient,and then we judge if the fuzzy set is a equal relation by using square method and select defferent threshold to calculate equal fuzzy set and clutering.On the bases of these we can determine,the typical mission profiles. We also calculatedthe different mode extrem load distribution and the nearness of various mode and sampleby using fuzzy recognition method.Then we can find out the most suitable mode of de-scribing flight load extrem and get probability density function and distribution func-tion,they are the fundation of method of reliability full probability calculfltion.