Abstract: In this paper, we introduce the notion of fuzzy chaos.
We also discuss topological transitivity, periodic orbits and sensitive
dependence on initial conditions for fuzzy compact metric space. Under certain
conditions, we prove that if for every fuzzy continuous map the periodic points of f
are dense, then it turns out that this condition together with transitivity
implies sensitive dependence on initial conditions.
Keywords and phrases: fuzzy chaos, transitivity, periodic point, sensitive dependence.
