| 一类线性模糊常微分方程的模糊结构元解法 |
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| 引用本文： | 郭嗣琮,王磊.一类线性模糊常微分方程的模糊结构元解法[J].辽宁工程技术大学学报(自然科学版),2009,28(4). |
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| 作者姓名： | 郭嗣琮 王磊 |
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| 作者单位： | 辽宁工程技术大学理学院,辽宁,阜新,123000 |
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| 基金项目： | 辽宁省教育厅高等学校科学研究基金资助项目，辽宁工程技术大学校基金资助项目 |
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| 摘 要： | 基于扩张原理建立起来的模糊值函数以及微积分在表述上存在着遍历性的困难,使得模糊微分方程求解变得异常困难,模糊结构元方法有效地解决了模糊数和模糊值函数以及微积分表述上的困难.利用模糊值函数分析学的模糊结构元表述理论,讨论了模糊常微分方程求解的模糊结构元方法,对于一类线性模糊常微分方程的通解给出了基于模糊结构元的表达形式,并结合实例进行说明.结论表明,模糊结构元方法简化了计算,在求解一类线性模糊微分方程时显得简单,同时也能给出解的解析表达形式,说明了模糊结构元方法是克服模糊微分方程求解困难的一个有效的工具.
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| 关 键 词： | 模糊微分方程 模糊结构元 模糊值函数 |
Solution algorithm of linear fuzzy ordinary differential equations using fuzzy structuring element |
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| GUO Sizong,WANG Lei.Solution algorithm of linear fuzzy ordinary differential equations using fuzzy structuring element[J].Journal of Liaoning Technical University (Natural Science Edition),2009,28(4). |
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| Authors: | GUO Sizong WANG Lei |
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| Institution: | GUO Sizong,WANG Lei (College of Science,Liaoning Technical University,Fuxin 123000,China) |
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| Abstract: | There are some difficulties in expressing calculus and fuzzy-value functions which is based on fuzzy extension principle. Also it becomes difficult to obtain a solution for fuzzy differential equations. However,fuzzy structured element can be used to denote the calculus of fuzzy-value function,and avoid ergodic problem. In this paper,a fuzzy structured element solution algorithm for linear fuzzy ordinary differential equations is investigated based on the theory of fuzzy structured element in fuzzy-valued f... |
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| Keywords: | fuzzy differential equation fuzzy structuring element fuzzy-valued function |
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