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Fuzzy矩阵的秩
引用本文:王学平. Fuzzy矩阵的秩[J]. 四川师范大学学报(自然科学版), 1991, 0(4)
作者姓名:王学平
作者单位:四川师范大学数学系
摘    要:许多学者对Fuzzy矩阵的秩进行了研究,但在Fuzzy矩阵的秩与积、和运算的关系方面,探讨还很不够.本文在格L=[0,1]上利用已有的一些结论得到了Fuzzy矩阵秩的一些重要性质,并讨论了Fuzzy有限生成子空间的秩与Fuzzy矩阵秩的关系.最后指出一个错误.

关 键 词:  Fuzzy向量组  Fuzzy生成集  Fuzzy有限生成子空间  极大独立组

RANKS OF FUZZY MATRICES
Wang Xueping. RANKS OF FUZZY MATRICES[J]. Journal of Sichuan Normal University(Natural Science), 1991, 0(4)
Authors:Wang Xueping
Affiliation:Department of Mathematics
Abstract:The ranks of fuzzy matrices, although studied by many scholars, are not satisfied with investigations into the relations be- tween the ranks and fuzzy matrix operation (product, sum). In this paper, on lattice L = [0,1] , some important properties of rank of fuzzy matrices are obtained by using some conclusions appeared, as well as discussions of the relations between the rank of a finitely generated fuzzy subspace and the rank of a fuzzy matrix. An error is shown in the end of this paper.
Keywords:rank  group of fuzzy vectors  fuzzy spanning set  finitely generated fuzzy subspace  maximum independent group.
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