| 求解一类模糊线性微分系统的结构元方法 |
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| 引用本文： | 王磊,郭嗣琮. 求解一类模糊线性微分系统的结构元方法[J]. 模糊系统与数学, 2012, 26(3): 9-16 |
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| 作者姓名： | 王磊 郭嗣琮 |
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| 作者单位： | 1. 辽宁工程技术大学基础教学部,辽宁葫芦岛125105;辽宁工程技术大学理学院,辽宁阜新123000
2. 辽宁工程技术大学理学院,辽宁阜新,123000 |
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| 基金项目： | 高等学校博士点学科点专项基金资助项目 |
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| 摘 要： | 基于模糊结构元方法,研究了由对称模糊结构元线性生成的一般模糊线性微分系统和双重的一般模糊线性微分系统,给出了模糊线性微分系统解存在的充要条件,得到了结构元线性生成的齐次、非齐次以及双重一般模糊线性微分系统求解方法。最后,给出了这类系统的实际应用。
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| 关 键 词： | 一般模糊线性微分系统 双重一般模糊线性微分系统 模糊结构元方法 模糊值函数 |
Solving a Class of Fuzzy Linear Differential Systems by Structured Element Method |
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| WANG Lei , GUO Si-zong. Solving a Class of Fuzzy Linear Differential Systems by Structured Element Method[J]. Fuzzy Systems and Mathematics, 2012, 26(3): 9-16 |
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| Authors: | WANG Lei GUO Si-zong |
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| Affiliation: | WANG Lei1,2,GUO Si-zong2(1.Department of Basic Teaching,Liaoning Technical University,Huludao 125105,China;2.College of Science,Liaoning Technical University,Fuxin 123000,China) |
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| Abstract: | In this paper,we investigated the general fuzzy linear differential systems and dual general fuzzy linear differential systems which were linear formed by symmetrical fuzzy structured element,and proved the sufficient and necessary condition of a fuzzy solution existence,we obtained the solution of homogeneous and non-homogeneous and dual general fuzzy linear differential systems by structured element method.At last,we put forward an example. |
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| Keywords: | General Fuzzy Linear Differential Systems Dual General Fuzzy Linear Differential Systems Fuzzy Structured Element Method Fuzzy-valued Function |
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