Analysis of dynamical systems whose inputs are fuzzy stochastic processes

• Published in: Fuzzy sets and systems Vol. 129; no. 1; pp. 111 - 118
• Main Authors: Hu, Liangjian, Wu, Rangquan, Shao, Shihuang
• Format: Journal Article
• Language: English
• Published: Amsterdam Elsevier B.V 01-07-2002; Elsevier
• Subjects: Exact sciences and technology; Fuzzy random variables; Fuzzy stochastic processes; General logic; Logic and foundations; Mathematical logic, foundations, set theory; Mathematics; Probability and statistics; Probability theory and stochastic processes; Sciences and techniques of general use; Set theory; Stochastic analysis; Symmetric fuzzy numbers; Fuzzy random variables; Fuzzy stochastic processes; Symmetric fuzzy numbers; Fuzzy stochastic process input; Representation; Dynamical system; Stochastic process; Symmetric fuzzy number; Random variable; Fuzzy stochastic process; Symmetry
• ISSN: 0165-0114; 1872-6801
• DOI: 10.1016/S0165-0114(01)00073-2

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.