Abstract

This paper contains some reflections going from pinpointing one of the main goals of fuzzy logic, that of representing linguistic terms whose use is gradable in a given context, to show a mathematical model able to capture what is a fuzzy set labeled P in a universe of discourse, throughout a way in which some comments on what a mathematical model is, and to what it serves, are done. It is shown that such a model for a fuzzy set is but a numerical quantity coming from the so-called primary use of its linguistic label, and along the paper there are shown some hints on the design of formulas representing statements by means of fuzzy terms. All that is jointly considered along the way modern science has been following to domesticate as quantities those gradable concepts which it takes into account. Under this view, fuzzy sets appear as more typically scientific than logical or purely mathematical objects.