Can Neural Networks Trained with 2-valued Logical Operations Simulate Fuzzy Logical Operations?

Abstract

A human seems to be very good at intuitive information processing but not logical one. This may be possibly because logical information processing is simulated on the neural network of brain, which is based on analog processing. If we train a neural network with 2-valued logical operations, we may have fuzzy logical operations. We train logical operations \“and\” and \“or\” with a standard neural network and we investigate whether it can learn fuzzy logical operations and what fuzzy logical operations are learned.