| 模糊线性系统解空间的结构 |
| |
| 引用本文： | 田增锋,胡良剑.模糊线性系统解空间的结构[J].纺织高校基础科学学报,2008,21(2):161-166. |
| |
| 作者姓名： | 田增锋 胡良剑 |
| |
| 作者单位： | 1. 浙江万里学院,基础学院,浙江,宁波,315101
2. 东华大学,理学院,上海,200051 |
| |
| 摘 要： | 使用代数的方法研究了模糊线性系统解空间的结构．类似于普通实数的线性系统，齐次模糊线性系统的解空间是R^n的一个线性予空间，非齐次模糊线性系统的一个解加上对应齐次模糊线性系统的解仍然是该非齐次模糊线性系统的解，但是非齐次模糊线性系统的所有解并不能由此非齐次模糊系统的一个特解加上对应的齐次模糊线性系统的通解得到．特别的，如果一个三角模糊线性系统有非三角模糊解向量，那它也有三角模糊解向量、
|
| 关 键 词： | 模糊数 模糊线性系统 解空间 |
Structure of solution spaces of fuzzy linear systems |
| |
| TIAN Zeng-feng,HU Liang-jian.Structure of solution spaces of fuzzy linear systems[J].Basic Sciences Journal of Textile Universities,2008,21(2):161-166. |
| |
| Authors: | TIAN Zeng-feng HU Liang-jian |
| |
| Affiliation: | TIANZeng-feng,HULiang-Jian(1. Junior College, Zhejiang Wanli University, Ningbo,Zhejiang 315101,China; 2. College of Science, Donghua University, Shanghai 200051 ,China) |
| |
| Abstract: | Structure of solution spaces of fuzzy linear systems was discussed by using algebraic method.Similar to the usual crisp linear systems,the solution space of homogeneous fuzzy linear system is a linear subspace of Rn.A solution of non-homogeneous fuzzy linear system was added to a solution of corresponding homogeneous one is also a solution of the non-homogeneous.However,all of solutions of non-homogeneous fuzzy linear system cannot be obtained by adding a solution of non-homogeneous fuzzy linear system to the usual solution of the corresponding homogeneous one.Especially,if a triangular fuzzy linear system has non-triangular fuzzy vector solution,then it has triangular fuzzy vector solution as well. |
| |
| Keywords: | fuzzy number fuzzy linear system solution space |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
|
