| 模糊矩阵的分解定理 |
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| 引用本文： | 郑泽,代松均,张谧,彭家寅.模糊矩阵的分解定理[J].内江师范学院学报,2012,27(12):4-6,20. |
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| 作者姓名： | 郑泽 代松均 张谧 彭家寅 |
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| 作者单位： | 内江师范学院数学与信息科学学院,四川内江,641100 |
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| 摘 要： | 从模糊矩阵的定义与λ-截矩阵的定义出发,提出一种数与模糊矩阵的乘积运算,通过这个运算建立了模糊矩阵的分解定理,得到了模糊矩阵与截矩阵之间的转化关系和一类经典集合矩阵与模糊矩阵之间的转化关系,并讨论了数与模糊矩阵的乘积运算的性质.
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| 关 键 词： | 模糊矩阵 分解定理 λ-截矩阵 |
Fuzzy Matrix Decomposition Theorem |
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| ZHENG Ze,DAI Song-jun,ZHANG Mi,PENG Jia-yin.Fuzzy Matrix Decomposition Theorem[J].Journal of Neijiang Teachers College,2012,27(12):4-6,20. |
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| Authors: | ZHENG Ze DAI Song-jun ZHANG Mi PENG Jia-yin |
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| Institution: | (College of Mathematics ＆ Inf0rmation Science, Neijiang Normal University, Neijiang, Sichuan 641100, China) |
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| Abstract: | Based on the definition of fuzzy matrix and A-Cutting matrix, a production operation of number and fuzzy matrix is put forth, through which the decomposition theorem of fuzzy matrix is thus established, and the transformation relationship between fuzzy matrix and λ-Cutting matrix, the transformation relationship between a category of classic set matrix and fuzzy matrix are also acquired. The properties of the product operation concerning numbers and fuzzy matrices are put under discussion as well. |
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| Keywords: | Fuzzy matrix decomposition theorem λ-Cutting matrix |
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