| 结构元线性生成的模糊线性微分系统 |
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| 引用本文： | 王磊,郭嗣琮.结构元线性生成的模糊线性微分系统[J].系统工程理论与实践,2014,34(8):2078-2083. |
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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, 葫芦岛 125105;2. 辽宁工程技术大学 理学院, 阜新 123000 |
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| 基金项目： | 教育部博士点基金(20102121110002) |
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| 摘 要： | 主要目的是利用模糊结构元方法来解决模糊线性微分系统的模糊初值问题.首先，简单地介绍了模糊结构元方法，根据该方法定义了线性生成的模糊线性微分系统.其次，利用由模糊结构元线性表示的模糊值函数和模糊值函数的导数，研究了模糊线性微分系统的求解问题，给出了系统解存在的充要条件.最后，将给出一个实际例子，进一步表明了该方法的有效性.
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| 关 键 词： | 模糊线性微分系统 模糊结构元方法 模糊值函数 |
| 收稿时间： | 2013-02-18 |
Linear formed fuzzy linear differential systems by structured element |
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| WANG Lei,GUO Si-cong.Linear formed fuzzy linear differential systems by structured element[J].Systems Engineering —Theory & Practice,2014,34(8):2078-2083. |
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| Authors: | WANG Lei GUO Si-cong |
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| Institution: | 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: | The main goal of this paper is to solve fuzzy linear differential systems with fuzzy initial valued problem by fuzzy structured element method. Firstly, we introduce the basic principle of fuzzy structured element, define the fuzzy linear differential systems which are linear formed by fuzzy structured element method. Secondly, we investigate the fuzzy linear differential systems by fuzzy-valued function and the derivative of fuzzy-valued function which are linear formed by fuzzy structured element method, and give the necessary and sufficient condition of a solution of the fuzzy linear differential systems. Finally, we put forward an example to illustrate effectivity. |
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| Keywords: | fuzzy linear differential systems fuzzy structured element method fuzzy-valued function |
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