摘要
把 Fuzzy 等价矩阵作为 Fuzzy 相似矩阵的不定方程 X^2=X 的解来研究,推导出解的充分必要条件和解的基本性质;给出了分解降阶构造性求解方法即所谓“分造模式”;最后给出了解的参数表示式以及按参数系的结构对解分类的方法.作为例子,对于 n=3,4,5,6几种情形写出了各类解的代表.因此,本文实际上解决了 Fuzzy 等价矩阵的特征、性质、结构等一系列问题.
In this paper,Fuzzy equivalent matrices are studied as solutions of indeterminate equation X^2=X,where X is a fuzzy similar matrax,Properties of these solutions are dis- cussed and an effective method to solve this equation is presented.At last.thc parametric form and classification of solutions are studied.