Synonyms for Assume (same or very similar meaning)
WordNet sense 1 (take on titles, offices, duties, responsibilities):
adopt, take over, take on
WordNet sense 2 (take on as one's own the expenses or debts of another person):
accept, bear
WordNet sense 3 (seize and take control without authority and possibly with force; take as one's right or possession):
arrogate, seize, usurp
WordNet sense 4 (occupy or take on):
strike, take, take up
WordNet sense 5 (make a pretence of):
feign, sham, simulate
WordNet sense 6 (take to be the case or to be true; accept without verification or proof):
presume, take for granted
WordNet sense 7 (take on a certain form, attribute, or aspect):
acquire
WordNet sense 8 (put clothing on one's body):
don, wear, put on, get into
From the ODE community, based on WordNet
add/edit