The development or selection of a material to meet given design requirement
s generally requires that a compromise be struck between several, usually c
onflicting, objectives. The ways in which multiobjective optimization metho
ds can be adapted to address this problem are explored. It is found that tr
ade-off surfaces give a way of visualizing the alternative compromises, and
that value functions (or "ultimate" functions) identify the part of the su
rface on which optimal solutions lie. The method is illustrated with exampl
es. (C) 2000 Acta Metallurgica Inc. Published by Elsevier Science Ltd. All
rights reserved.