广义模糊矩阵的标准特征向量

Standard Eigenvectors of Generalized Fuzzy Matrices

讨论了广义模糊矩阵,即'取大-三角模'复合意义下模糊矩阵的标准特征向量的代数结构.给出了模糊矩阵存在标准特征向量的充分必要条件,建立了标准特征向量的代数表示.

In this paper,we focus on the algebraic structure of the standard eigenvectors of fuzzy matrices under the composition of max-triangular norm.A sufficient and necessary condition for the existence of standard eigenvector is found.Furthermore,the algebraic representation of all standard eigenvectors is established.