Are artificial neural networks white boxes?

Authors:
E. Kolman;M. Margaliot
Affiliations:
Sch. of Electr. Eng.-Syst., Tel Aviv Univ., Israel;-
Venue:
IEEE Transactions on Neural Networks
Year:
2005

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Abstract

In this paper, we introduce a novel Mamdani-type fuzzy model, referred to as the all-permutations fuzzy rule base (APFRB), and show that it is mathematically equivalent to a standard feedforward neural network. We describe several applications of this equivalence between a neural network and our fuzzy rule base (FRB), including knowledge extraction from and knowledge insertion into neural networks.