模糊过程与模糊微分方程的解法

Fuzzy processes and solution of fuzzy differential equations

本文在模糊变量和动态模糊集合的基础上定义了模糊过程、构造了它的F样本函数,然后用F样本函数定义了模糊过程的a.f.s微积分,并讨论了它们的性质;在此基础上,本文提出了非齐次项是模糊过程的微分方程的基本解法,从而为分析动态系统受模糊干扰的响应提供了基础。

In this paper, based on the fuzzy variable and dynamic fuzzy set, a fuzzy process is defined and its F-sample functions are constructed. Then, by means of F-sample functions, a kind of a. f. s calculus of fuzzy processes is defined and its properties are discussed. Furthermore, a solution method is presented for the differential equation which nonhomogeneous part is a fuzzy process. This paper may serve as the basis of the response analysis of dynamic system subjected to fuzzy excitation.