The Meaningful Fractal Fuzzy Dimension Applied to the Design of Self Organizing Maps

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2008-01-01

Autores

Peres, Sarajane M. [UNESP]
Netto, Marcio L. de A.

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IEEE

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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.

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2008 IEEE International Joint Conference on Neural Networks, Vols 1-8. New York: IEEE, p. 1285-1291, 2008.

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