| 方阵的模糊特征向量 |
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| 引用本文： | 田增锋.方阵的模糊特征向量[J].西北纺织工学院学报,2011(1):113-118. |
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| 作者姓名： | 田增锋 |
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| 作者单位： | 浙江万里学院基础学院,浙江宁波315101 |
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| 基金项目： | 浙江省教育厅资助项目（Y201018578） |
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| 摘 要： | 寻求实矩阵的实特征值在模糊向量空间中对应的特征向量.采用嵌入法研究了实矩阵的模糊特征向量的取值问题、模糊特征子空间的封闭结构、不同模糊特征子空间的关系以及模糊特征子空间与实特征子空间的关系.作为模糊特征向量的一个应用给出了模糊线性系统解存在的充分条件.上述结果将实矩阵的特征向量取值范围拓展到模糊向量空间.
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| 关 键 词： | 模糊数 特征值 特征向量 模糊线性系统 |
Fuzzy eigenvectors of real rectangular matrix |
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| TIAN Zeng-feng.Fuzzy eigenvectors of real rectangular matrix[J].Journal of Northwest Institute of Textile Science and Technology,2011(1):113-118. |
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| Authors: | TIAN Zeng-feng |
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| Affiliation: | TIAN Zeng-feng (Junior College,Zhejiang Wanli University,Ningbo Zhejiang,315101,China) |
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| Abstract: | The eigenvectors in fuzzy vectors space of a real matrix corresponding to its real eigenvalue are found in this paper.By using embedding method,the assignment of eigenvalues and fuzzy eigenvectors of real matrix,the enclosed structure of fuzzy eigenspace and the relationship among different fuzzy eigenspaces are concerned,as well as the relationship between real eigenspaces and fuzzy eigenspaces of real matrix.As an application,the sufficient conditions to existence of solution of fuzzy linear system are given.The domain of eigenvectors of real matrix is extended to fuzzy vectors space. |
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| Keywords: | fuzzy number eigenvalue eigenvector fuzzy linear system |
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