Abstract
Images with grey or colour levels admit a natural representation in terms of fuzzy sets, but without the usual probabilistic interpretation of the latter. We introduce a fuzzy set approach which incorporates, in part, the technique of iterated function systems (IFS) for the construction, analysis, and/or approximation of typically fractal sets and images. The method represents a significant departure from IFS, especially in the interpretation of the resulting image. The introduction of “grey-level maps,” ϑ i : [0, 1] → [0, 1] associated with the contractive maps w i of the IFS affords much greater flexibility in the generation of images as well as in the inverse problem.
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