Stochastic Stability in Fuzzy Dynamical Systems

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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