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.
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 filzzy 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.
出处
《系统工程理论与实践》
EI
CSSCI
CSCD
北大核心
2014年第8期2078-2083,共6页
Systems Engineering-Theory & Practice
基金
教育部博士点基金(20102121110002)
关键词
模糊线性微分系统
模糊结构元方法
模糊值函数
fuzzy linear differential systems
fuzzy structured element method
fuzzy-valued function
