The quantum nonlinear Schrodinger model with four-component fermions exhibi
ts a Y(so(5)) symmetry when considered on an infinite interval. The constru
cted generators of the Yangian are proved to satisfy the Drinfel'd formula
and, furthermore, the RTT relation with the general form of a rational R-ma
trix given by Yang-Baxterization associated with so(5) algebraic structure.