Magnetism in bipartite lattices

Suppose we have a bipartite lattice( A and B).
By tuning some parameters in the Hamiltonian, we get a region of parameter space where sublattice magnetizations, $m_{A}$ and $m_{B}$ are both of same sign but not equal in magnitude. I mean to say , I have finite staggered magnetization, $m_{s}=(m_{A}-m_{B})/2$ as well as uniform magnetization, $m_{f}=(m_{A}+m_{B})/2$. Can I call it ferrimagnetic ?

Normally, if the sublattice magnetizations are oppositely oriented and there also happens to be some difference in their magnitudes, we call it ferri. But here I have $m_{A},m_{B}$ having same orientation but differing magnitudes.

According to my understanding, even if A and B have same direction of magnetizations but unequal magnitude, it means that A is more up, B is less up $equiv$ B is more down. So, it can be called ferrimagnetic. Any clarification in this regard will be appreciated.