On the Notion of Fuzzy Shadowing Property

This paper is concerned with the study of fuzzy dynamical systems. Let (X,M,* ) be a fuzzy metric space in the sense of George and Veeramani. A fuzzy discrete dynamical system is given by any fuzzy continuous selfmap defined on X. We introduce the various fuzzy shad owing and fuzzy topological transitivity on a fuzzy discrete dynamical systems. Some relations between this notions have been proved.