广义模糊矩阵的标准特征向量
Standard Eigenvectors of Generalized Fuzzy Matrices
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摘要: 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.Abstract: 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.