[en] Recently the fermionic extension of the U(3) limit of the Vibron Model has been introduced by the authors, and its application to the cluster structure of some odd-mass nuclei is proposed. The name Vibron-Fermion Model (VFM) is also proposed for the general fermionic extension of the Vibron Model. A comparison of the dynamical symmetries of the Interacting Boson-Fermion Model (IBFM) and the VFM is presented and some group theoretical considerations concerning the fermionic generalization of the interacting boson models are discussed. (R.P.) 4 refs.; 1 tab