| Fuzzy矩阵的若干性质 |
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| 引用本文： | 王学平.Fuzzy矩阵的若干性质[J].四川师范大学学报(自然科学版),1989(3). |
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| 作者姓名： | 王学平 |
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| 作者单位： | 四川师范大学数学系 |
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| 摘 要： | 本文证明了L-Fuzzy 幂等阵,L-Fuzzy 对角占优矩阵,L-Fuzzy 上(下)三角阵对幂的封闭性.得到了正则L-Fuzzy 上(下)三角矩阵的广义逆,也是上(下)三角矩阵的一个充分条件及L-Fuzzy 矩阵的传递闭包可实现的充分条件,以及讨论了L-Fuzzy 矩阵交、积的可实现性.
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| 关 键 词： | 弱自反阵 广义逆矩阵 传递闭包 |
Some Properties of Fuzzy Matrixes |
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| Wang Xueping.Some Properties of Fuzzy Matrixes[J].Journal of Sichuan Normal University(Natural Science),1989(3). |
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| Authors: | Wang Xueping |
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| Institution: | Department of Mathematics |
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| Abstract: | In this paper,It is shown that L-fuzzy jdempotent matrixes,L-fuzzy diagonallydominant matrixes and L-fuzzy upper(lower)triangular matrixes are closed underpower operation respectively.Two sufficient conditions are given,one is about thatgeneralized inverse matrix of a regular L-fuzzy upper(lower)triangular matrix isupper(lower)triangular matrix and another is about that transitive closure for anL-fuzzy matrix is realizable.At the end of this paper,the realizability of L-fuzzymatrixes for intersection and product is discussed. |
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| Keywords: | weakly reflexive matrix generalized inverse matrix transitive closure |
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