The aim of this chapter is to pressent a unified treatment of the various fractal transform methods for the representation and compression of computer images which have been based, in some way, on the method of Iterated Function Systems (IFS). These methods, which include "traditional" IFS and IFS with probabilities (IFSP), Iterated Fuzzy Set Systems (IFZS), Iterated Function Systems with Maps (IFSM) and variations, have been designed following a common pattern. Let (X, d) denote a complete metric space, the "base space" which may represent the computer scereen, e.g. [0, 1], [0, 1]~2 with Euclidean metric.
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