| Fuzzy矩阵的初等变换与Schein秩 |
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| 引用本文： | 高英仪.Fuzzy矩阵的初等变换与Schein秩[J].华南理工大学学报(自然科学版),1987(1). |
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| 作者姓名： | 高英仪 |
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| 作者单位： | 华南工学院数力系 |
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| 摘 要： | 本文重新定义了Fuzzy矩阵的行秩、列秩,给出了Fuzzy矩阵的puv初等变换法,并证明了初等变换的保秩性及若干有关结论.使文中求Fuzzy矩阵的行秩、列秩、Schein秩的不同方法得到了统一;同时,也为简化矩阵的求秩计算提供了新途径,使文中"逐步划去"的方法应用范围更广泛.最后,给出了满秩矩阵的充分条件,与初等变换结合起来,便能更简捷地计算出相当广泛的一类Fuzzy矩阵的秩.
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| 关 键 词： | 秩 变换 Fuzzy矩阵 Schein秩 |
THE ELEMENTARY TRANSFORMATION OF A FUZZY MATRIX AND THE SCHEIN RANK |
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| Gao Yingyi Dep. of Math. & Mech. South China lnst. of Tech..THE ELEMENTARY TRANSFORMATION OF A FUZZY MATRIX AND THE SCHEIN RANK[J].Journal of South China University of Technology(Natural Science Edition),1987(1). |
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| Authors: | Gao Yingyi Dep of Math & Mech South China lnst of Tech |
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| Institution: | Gao Yingyi Dep. of Math. & Mech. South China lnst. of Tech. |
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| Abstract: | For a Fuzzy matrix,a re-definition of its row and column ranks, its elementary transformatleo, as well as the fixedness and the relevant conclusion of the transformation are presented in this paper, Thus reaching a general method to find the row, column and schein ranks and a new method to calculate the ranks of a breviated matrix. Besides, the sufficient conditions for a full rank are given so that a method to easily calculate the ranks of a Fuzzy matrix can be attained when those conditions are combined with the elementary transformation. |
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| Keywords: | rank transformation Fuzzy matrix Schein rank |
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