多指标正交试验的模糊分析方法

近年来，逐渐运用模糊数学的相关方法对多指标正交试验结果进行分析，但仅限于具体方法的运用，对指标模糊化的意义和概念缺乏理解，对指标模糊化的方法缺乏深入的探讨。本文利用模糊数学的相关概念，模拟人的思维过程，对于多指标正交试验，建立了指标满意度和指标综合满意度的概念，讨论了其隶属函数建立的一般方法，并在此基础上给出了模糊向量单值化法、模糊距离法和模糊关系综合评价法3种多指标正交试验模糊分析的具体方法，从而为在多指标正交试验结果分析中运用模糊分析方法，建立了理论基础。

Fuzzy Analysis Method for Multi-Index Orthogonal Test

The method for fuzzy analysis is gradually used in the result analysis of orthogonal test with the multi-indexes, however, the me thods of which are not applied due to the concept and the method of the index fu zzines s not being deeply understood. The concepts of index contentment degree and inde x synthesis contentment degree are defined and the methods about how to establis h their subsidiary functions are discussed. Three fuzzy analytical methods for th e result analysis of the orthogonal test with the multi-indexes are given i.e. uniformization of fuzzy vector, fuzzy distance and comprehensive evaluati on of fuzzy relation and theory foundation is built.