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The artificial neural networks represent efficient computational models that are widely used to solve problems of difficult solution in Artificial Intelligence. The greatest difficulty associated with the use of Artificial Neural Networks (ANN) is in obtaining knowledge about its behavior, because of that ANNs are also considered as black-box methods. This paper presents a brief history of methods of extraction of knowledge, and in detail a method of interpreting the behavior of an artificial neural network by establishing a relation of equality between certain classes of neural networks and systems based on fuzzy rules, with modifications that allow the acquisition of rules coherent with the domain of the variables of the problem. An example of application is used to illustrate the method, considering the identification of incipient faults in transformers by using data from gas dissolved in transformer oil.