Analysis of dynamical systems whose inputs are fuzzy stochastic processes

Authors:
Liangjian Hu;Rangquan Wu;Shihuang Shao
Affiliations:
Department of Applied Mathematics, Dong Hua University, 1882 Yan An West Road, Shanghai, People's Republic of China;Department of Applied Mathematics, Dong Hua University, 1882 Yan An West Road, Shanghai, People's Republic of China;Department of Automation, Dong Hua University, Shanghai, People's Republic of China
Venue:
Fuzzy Sets and Systems
Year:
2002

Citing 9
Cited 1

An application of a fuzzy random variable to vulnerability modeling

Fuzzy Sets and Systems
The theory of fuzzy stochastic processes

Fuzzy Sets and Systems
On embedding problems of fuzzy number spaces. Part 4

Fuzzy Sets and Systems
On fuzzy stochastic optimization

Fuzzy Sets and Systems - Special issue on fuzzy optimization
On fuzzy debugging of software programs

Fuzzy Sets and Systems - Special issue on fuzzy methodology in system failure engineering
The general theory for response analysis of fuzzy stochastic dynamical systems

Fuzzy Sets and Systems
On the variance of fuzzy random variables

Fuzzy Sets and Systems
Gaussian fuzzy random variables

Fuzzy Sets and Systems
The variance and covariance of fuzzy random variables and their applications

Fuzzy Sets and Systems

Modeling a flexible manufacturing cell using stochastic Petri nets with fuzzy parameters

Expert Systems with Applications: An International Journal

Quantified Score

Hi-index	0.21

Visualization

Abstract

This paper considers systems whose input signals are fuzzy stochastic processes of second order. The analysis is entirely restricted to discrete time linear time-invariant systems. Convergence conditions of the output are given. The equations on the mean value functions and the covariance functions are derived. The representation of fuzzy stochastic processes is also discussed.