Like other constellations of recent origin, the "Fox" is not linked to mythology. It was in fact introduced in 1690 by Johannes Hevel, whose name was Latinized as Hevelius (Gdansk 1611-1687), the precursor of modern astronomy and the founder of selenography.
He was the first astronomer to apply the use of a telescope to the study and description of the moon, and to name the moonspots, later modified by G.B. Riccioli, who only kept the definition of seas.
Hevelius originally named this constellation Vulpecula cum Anser, i.e. "Fox with Goose," but later on its boundaries were modified and only the " fox" was left.