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方阵的模糊特征向量

田增锋

西安工程大学学报2011,Vol.25Issue(1):113-118,6.
西安工程大学学报2011,Vol.25Issue(1):113-118,6.

方阵的模糊特征向量

Fuzzy eigenvectors of real rectangular matrix

田增锋1

作者信息

  • 1. 浙江万里学院,基础学院,浙江,宁波,315101
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摘要

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.

关键词

模糊数/特征值/特征向量/模糊线性系统

分类

数理科学

引用本文复制引用

田增锋..方阵的模糊特征向量[J].西安工程大学学报,2011,25(1):113-118,6.

基金项目

浙江省教育厅资助项目(Y201018578) (Y201018578)

西安工程大学学报

OACSTPCD

1674-649X

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