Conditions for topologically semi-conjugacy of the induced systems to the subshift of finite type

In this paper, we show that under some conditions more weaker than those of [14], (K(X),f¯) has a subsystem which not only is topologically semi-conjugated to a subshift of finite type (ΣA, σA), but also is bigger than the subsystem builded in [14]. Furthermore, we expand above results to the fuzzy dynamical system, extended by (X, f).