We study a lattice model of an associating A-B binary mixture, which differ
s from the one originally proposed by Lin and Taylor (Phys. Rev. E, 1994, 4
9, 2058 and Phys. Rev. Lett., 1994, 73, 2863) because it allows interaction
s between all pairs of particles. This model can be mapped onto an Ising mo
del with renormalized coupling parameters. The global phase diagram of the
mixture is obtained as a function of the physical parameters. The appearanc
e of closed loops of immiscibility is analysed in terms of the coupling par
ameters.