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In this paper we will define relations between quasi-linear transformations, numeration systems and fractals. A Quasi-Linear Transformation (QLT) is a transformation on Zn which corresponds to the composition of a linear transformation with an integer part function. We will first give some theoretical results about QLTs. We will then point out relations between QLTs, numeration systems and fractals. These relations allow us to define new numeration systems, fractals associated with them and n-dimensional fractals. With help of some properties of the QLTs we can give the fractal dimension of these fractals.