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Fuzzy Systems with Sigmoid-Based Membership Functions as Interpretable Neural Networks

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Book cover Fuzzy Techniques: Theory and Applications (IFSA/NAFIPS 2019 2019)

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Abstract

In this paper new interpretable neural network architectures are proposed. A Neural Network with sigmoid activation function is converted into a sigmoid-based approximation operator, which, at its turn, can be approximated by a fuzzy system of Takagi-Sugeno type. Altogether this process shows that a neural network with sigmoid activation functions can be approximated by a Takagi-Sugeno fuzzy system. As the TS fuzzy system provides interpretability, while Neural Networks provide approximation capability, we obtain a novel interpretable Neural Network Architecture. Interpretability of the TS fuzzy system can provide insights into data in a new way, enhancing decision making.

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Correspondence to Barnabás Bede .

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Bede, B. (2019). Fuzzy Systems with Sigmoid-Based Membership Functions as Interpretable Neural Networks. In: Kearfott, R., Batyrshin, I., Reformat, M., Ceberio, M., Kreinovich, V. (eds) Fuzzy Techniques: Theory and Applications. IFSA/NAFIPS 2019 2019. Advances in Intelligent Systems and Computing, vol 1000. Springer, Cham. https://doi.org/10.1007/978-3-030-21920-8_15

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