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This paper provides a new model to compute the fractal dimension of a subseton a generalized-fractal space. Recall that fractal structures are a perfectplace where a new definition of fractal dimension can be given, so we perform asuitable discretization of the Hausdorff theory of fractal dimension. We alsofind some connections between our definition and the classical ones and alsowith fractal dimensions I & II (see http://arxiv.org/submit/0080421/pdf).Therefore, we generalize them and obtain an easy method in order to calculatethe fractal dimension of strict self-similar sets which are not required toverify the open set condition.

Fractal Dimension for Fractal Structures: A Hausdorff Approach