| Fuzzy标准矩阵及Fuzzy强标准矩阵 |
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| 引用本文： | 刘旺金,王学平.Fuzzy标准矩阵及Fuzzy强标准矩阵[J].模糊系统与数学,1993,7(2):87-91. |
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| 作者姓名： | 刘旺金 王学平 |
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| 作者单位： | [1]西南交通大学 [2]四川师范大学 |
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| 摘 要： | 本文在格L=0,1]上定义了Fuzzy标准矩阵及Fuzzy强标准矩阵,得出了他们的一些基本性质。证明了Fuzzy标准矩阵是幂收敛阵;给出了Fuzzy强标准矩阵的判别条件及Fuzzy强标准矩阵是幂等的充要条件。最后对Fuzzy强标准矩阵的秩进行了讨论。
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| 关 键 词： | 模糊标准矩阵 模糊强标准矩阵 幂收敛矩阵 |
Fuzzy Canonical Matrix and Fuzzy Strongly Canonical Matrix |
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| Liu Wangjin Wang Xueping.Fuzzy Canonical Matrix and Fuzzy Strongly Canonical Matrix[J].Fuzzy Systems and Mathematics,1993,7(2):87-91. |
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| Authors: | Liu Wangjin Wang Xueping |
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| Institution: | Liu Wangjin Wang Xueping (Southwest Jiaotong University) (Sichuan Normal University) |
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| Abstract: | In this paper, a fuzzy canonical matrix and a fuzzy strongly canonical matrix are defined on lattice L=O, 1], We obtain some basic properties about them. We prove that a fuzzy canonical matrix is convergence of power. The condition that a fuzzy matrix is a fuzzy strongly canonical matrix is given, and a sufficient and necessary condition that a fuzzy strongly canonical matrix is idempotent fuzzy matrix is showed. At last, we discuss the ranks of fuzzy strongly canonical matrices. |
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| Keywords: | Fuzzy canonical matrix Fuzzy strongly canonical matrix Fuzzy power convergent matrix Rank |
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