Łukasiewicz equivalent neural networks

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.