We investigate a system composed of the itinerant electrons coexisting with the localized pairs (hard-core bosons) whose energies are assumed to be site dependent. The randomness of boson energies induces in turn fluctuations of the effective pairing potential between fermions. We analyze an effect of such randomness on the anisotropic d-wave superconducting phase of this model. In particular, we determine transition temperature Tc and the amplitude of the order parameter parameter \chi ij= \langle ci cj \rangle as functions of the boson energies fluctuations.
PACS numbers: 74.20.--z, 74.25.--q, 71.10.--w
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