Summary: This Letter introduces another novel type of chaos synchronization-full state hybrid lag projective synchronization (FSHLPS), which includes complete synchronization, anti-synchronization, lag synchronization, general projective synchronization and FSHPS in [M. Hu, Z. Xu
and R. Zhang
, Commun. Nonlinear Sci. Numer. Simul. 13, No. 2, 456–464 (2008; Zbl 1123.37013
); M. Hu, Z. Xu, R. Zhang
and A. Hu
, ibid. 361, No. 3, 231–237 (2007)]. Furthermore, systematic FSHLPS schemes are respectively proposed for the continuous and discrete systems. Finally, some numerical simulations are given to verify the effectiveness of the developed schemes.