| n阶线性方程模糊初值问题的模糊结构元解法 |
| |
| 引用本文： | 王磊,郭嗣琮.n阶线性方程模糊初值问题的模糊结构元解法[J].辽宁工程技术大学学报(自然科学版),2004,23(3):412-414. |
| |
| 作者姓名： | 王磊 郭嗣琮 |
| |
| 作者单位： | 辽宁工程技术大学,系统科学与数学研究所,辽宁,阜新,123000 |
| |
| 基金项目： | 国家自然科学基金资助项目(50244015) |
| |
| 摘 要： | 为了给出微分方程的模糊初值问题更加简便的求解方法，避免表现定理中α遍历{0，1}造成的运算复杂性，采用模糊结构元的方法来求解线性微分方程的模糊初值问题，给出了模糊初值问题解的通解公式。这种方法不仅避免了利用表现定理造成运算的复杂性，而且还精确的给出了模糊初值问题的模糊解函数的隶属函数。通过文中的例子可以看出该方法的实用性和有效性。
|
| 关 键 词： | 模糊结构元 微分方程 模糊初值问题 |
| 文章编号： | 1008-0562(2004)03-0412-03 |
| 修稿时间： | 2002年11月26 |
Fuzzy initial value problem for nth-linear equation based on fuzzy structure element |
| |
| WANG Lei,GUO Si-cong.Fuzzy initial value problem for nth-linear equation based on fuzzy structure element[J].Journal of Liaoning Technical University (Natural Science Edition),2004,23(3):412-414. |
| |
| Authors: | WANG Lei GUO Si-cong |
| |
| Abstract: | For giving the simple solution to the fuzzy initial value problem of fuzzy differential equation and avoiding the operational complexity by using a0,1] in the expression theorem of fuzzy set theory. This paper solves the fuzzy initial value problem by using the method of fuzzy structure element and gives the general solution formula of fuzzy initial value problem. This method not only avoids the complexity of using alevel set, but also can give the membership function of solution function in the process of searching solution. Example illustrates the validity and practicability of this method in this paper. |
| |
| Keywords: | fuzzy structure element differential equation fuzzy initial problem |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
