| 基于结构元法的模糊微分方程解的比较 |
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| 引用本文： | 王磊,郭嗣琮. 基于结构元法的模糊微分方程解的比较[J]. 佳木斯工学院学报, 2011, 0(3): 437-439 |
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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 [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： | 教育部博士点基金资助项目（20102121110002） |
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| 摘 要： | 利用结构元方法定义了模糊值函数的自然序,将模糊值函数的比较转换成[-1,1]上同序单调函数的比较问题,在此基础上,对不同条件下一阶线性模糊微分方程的解进行了比较,得到了一些良好的性质,丰富了模糊微分方程理论研究内容.
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| 关 键 词： | 模糊结构元 模糊值函数序 模糊微分方程 |
Comparison among the Solutions of Fuzzy Differential Equations Based on Structuring Element Method |
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| Affiliation: | WANG Lei,GUO Si-zong(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,the natural order of fuzzy-valued function was defined using structural element method,the comparison of fuzzy numbers was transformed into the comparison of standard monotone functions on .For this reason,solutions of first-order linear fuzzy differential equations were compared under different conditions and got some good properties,enriching the theoretical research of fuzzy differential equations. |
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| Keywords: | fuzzy structuring element fuzzy-valued function order fuzzy differential equation |
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