The object of the present paper is to study Ricci semisymmetric, locally ϕ-symmetric and η-parallel Ricci tensor in a three dimensional generalized Sasakian-space-form. The three dimensional quasi-Sasakian generalized Sasakian-space-forms have been studied. Besides these, Ricci solitons and gradient Ricci solitons have been studied. Finally, illustrative examples are given. © 2017, Springer International Publishing AG.