Abstract
In this paper we propose a particular class of multilayer perceptrons, which describes possibly non-linear phenomena, linked with Łukasiewicz logic; we show how we can name a neural network with a formula and, viceversa, how we can associate a class of neural networks to each formula. Moreover, we introduce the definition of Łukasiewicz Equivalent Neural Networks to stress the strong connection between different neural networks via Łukasiewicz logical objects.
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Di Nola, A., Lenzi, G., Vitale, G. (2016). Łukasiewicz Equivalent Neural Networks. In: Bassis, S., Esposito, A., Morabito, F., Pasero, E. (eds) Advances in Neural Networks. WIRN 2015. Smart Innovation, Systems and Technologies, vol 54. Springer, Cham. https://doi.org/10.1007/978-3-319-33747-0_16
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DOI: https://doi.org/10.1007/978-3-319-33747-0_16
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Online ISBN: 978-3-319-33747-0
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