| Fuzzy矩阵的加权Moore-Penrose逆 |
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| 引用本文： | 张荣娥. Fuzzy矩阵的加权Moore-Penrose逆[J]. 数学的实践与认识, 2009, 39(22) |
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| 作者姓名： | 张荣娥 |
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| 作者单位： | 宁波大学理学院,浙江,宁波,315211 |
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| 基金项目： | 浙江省教育厅科研计划项目 |
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| 摘 要： | 给出了Fuzzy矩阵加权Moore-Penrose逆AM+N的定义,研究了Fuzzy矩阵加权Moore-Penrose逆AM+N的存在性问题,证明了当权矩阵M,N满足一定条件时,AM+N存在且A+MN=AT的充要条件是ANATMA≤A,推广了Fuzzy矩阵和Boolean矩阵的相应结果.
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| 关 键 词： | Fuzzy矩阵 对称矩阵 加权Moore-Penrose逆 |
Weighted Moore-Penrose Inverse of Fuzzy Matrix |
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| ZHANG Rong-e. Weighted Moore-Penrose Inverse of Fuzzy Matrix[J]. Mathematics in Practice and Theory, 2009, 39(22) |
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| Authors: | ZHANG Rong-e |
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| Abstract: | The difination of weighted Moore-Penrose inverse A_(MN)~+ for Fuzzy matrix is given, the existence for A_(MN)~+ are studied, some necessary and sufficient conditions for existence of A_(MN)~+ are shown under certain conditions on M,N, some results of Fuzzy matrix and Boolean matrix are popularized. |
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| Keywords: | fuzzy matrix symmetric matrix weighted Moore-Penrose inverse |
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