This paper presents the investigations for triple-polarization sensitive uniform square array (USA) on the basic modeling of blind trilinear/quadrilinear receivers. We derive the multilinear-based approaches which utilize no knowledge for direction of arrival (DOA) or polarization information. The quadrilinear-based approach has better bit-error-rate (BER) performance than the trilinear-based one. The newly designed blind quadrilinear receiver indicates quite close performance to nonblind MMSE method, supports small number of snapshots, and also exhibits blind robust characteristics. Simulation results illustrate their collaborations with our theoretical analysis.