In this article, the realization of concurrent multifunction in phased array full-duplex platforms is discussed. For modern complex electromagnetic environment, an efficient architecture is needed to accomplish the concurrent working of several different functions, such as communication, radar, spectrum sensing and so on. First, we establish a novel architecture based on the phased array system to effectively incorporate current approaches useful for realizing concurrent multifunction. Then, a prototype implementation based on multi-objective beamforming is proposed to demonstrate the role of digital methods in cancelling self-interferenc. Finally, simulation and experimental results are exhibited to prove the result of the proposed method.