Using transfer-matrix finite-size-scaling (TMFSS), we investigate the aniso
tropic spin-1/2 Ashkin-Teller model (ATM) where the two bilinear interactio
ns are different (L-2 not equal J(2)) and with a four coupling interaction
K-4. Conclusive numerical evidence is obtained, indicating the presence of
another partially ordered phase in the phase diagram. Also, from exponents
calculations we show that all the transitions are in the Ising universality
except for the multicritical point B-4 which is nonuniversal. (C) 2000 Els
evier Science B.V. All rights reserved.