摘要
本文系统地概述了我们近年来提出的动态模糊随机信息处理的数学方法,内容包括模糊随机变量、模糊随机过程和模糊随机微分方程的基本解法等方面的基本概念、基本定义和某些重要的定理,以及动态系统的模糊随机响应与可靠性分析的方法等。这些方法是为我们研究工程实际问题的需要逐步发展起来的,对于处理某些类型的问题简便实用。
This paper is a systemetical summarization of mathemetical methods for treatment of fuzzy random dynamical information recently presented by us, which includes the basic concepts、definitions and some important theorems of fuzzy random variables, processes and solution of fuzzy random differential equations and the analytical methods of fuzzy random response and reliability of a dynamical system. These methods are presented for the requirements of our research on engineering problems, which are simple and effective for the treatment of some practical problems.
出处
《模糊系统与数学》
CSCD
1992年第2期68-76,共9页
Fuzzy Systems and Mathematics
基金
国家自然科学基金
关键词
信息处理
模糊随机振动
结构振动
模糊随机信息
fuzzy random variable
fuzzy random process
fuzzy random differential equation
dynamical system
fuzzy random response
dynamical reliability
