Ergodicity of MV-dynamical systems

Abstract We introduce the concept of MV-dynamical system which includes the definition of (classical) dynamical system and the definition of fuzzy dynamical system. The main result is a characterization of ergodicity of MV-dynamical systems which also can be considered as an application of the properties of measures on MV-algebras. An important consequence is the characterization of ergodicity of fuzzy dynamical systems.