In this note,the author discussed the iterated function system of generalized finite type conditions.First,the author constructed an iterated function system of generalized finite type condition satisfying that an invariant set is a basic set if and only if it is a subset of (0,1).Second,the author proved that,with respect to the nested index sequence ${\left\{ {{\Lambda _k}} \right\}_{k \ge 0}}$,any iterated function system in ${\mathbb{R}^d}$ can not satisfy the generalized finite type condition when the exponents of contractive ratios are not commensurable.Finally,a family of self-similar s...
