摘要
基于模糊结构元方法,定义了模糊数和模糊值函数的乘法运算,研究了由对称模糊结构元线性生成的完全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,得到了结构元线性生成的齐次、非齐次的完全模糊线性微分系统求解方法.同时,给出了这类模糊线性微分系统在经济、军事领域的实际应用.
In this paper, we define the multiplication for fuzzy number and fuzzy-valued function and investigates the full fuzzy linear differential systems which are linear formed by symmetrical fuzzy structured element, we also give the necessary and sufficient condition of a solution of the full fuzzy linear differential system and obtain the structured element method of solving homogeneous and non-homogeneous full fuzzy linear differential systems. At the same time, some examples in economic and military are considered.
出处
《系统工程理论与实践》
EI
CSSCI
CSCD
北大核心
2012年第2期341-348,共8页
Systems Engineering-Theory & Practice
基金
教育部博士点基金(20102121110002)
关键词
完全模糊线性微分系统
模糊结构元方法
模糊值函数
full fuzzy linear differential systems
fuzzy structured element method
fuzzy-valued function
