Stochastic Stability in Fuzzy Dynamical Systems

Year 2012, Volume: 9 Issue: 1, - , 01.02.2012

Seyyed A. Ahmadi Mohammad R. Molaei

Abstract

In this paper we introduce the notion of the shadowing property for fuzzy
dynamical systems and prove that this property is invariant under fuzzy topological conjugacy.
By using of dynamical systems with the shadowing property we present a method
to construct fuzzy dynamical systems with the fuzzy shadowing property.

Keywords

Fuzzy metric space, fuzzy dynamical system, shadowing property, limit shadowing property

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