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We study the signature change in a perfect fluid Friedmann-Robertson-Walkerquantum cosmological model. In this work the Schutz's variational formalism isapplied to recover the notion of time. This gives rise to aSchrodinger-Wheeler-DeWitt equation with arbitrary ordering for the scalefactor. We use the eigenfunctions in order to construct wave packets andevaluate the time-dependent expectation value of the scale factor whichcoincides with the ontological interpretation. We show that these solutionsexhibit signature transitions from a finite Euclidean to a Lorentzian domain.Moreover, such models are equivalent to a classical system where, besides theperfect fluid, a repulsive fluid is present.

Signature change from Schutz's canonical quantum cosmology and its classical analogue