The Meaningful Fractal Fuzzy Dimension applied to the design of self organizing maps

This paper presents the principal results of a detailed study about the use of the meaningful fractal fuzzy dimension measure in the problem in determining adequately the topological dimension of output space of a self-organizing map. This fractal measure is conceived by combining the fractals theory and fuzzy approximate reasoning. In this work this measure was applied on the dataset in order to obtain a priori knowledge, which is used to support the decision making about the SOM output space design. Several maps were designed with this approach and their evaluations are discussed here.