lotfi zadeh gzrdaeecsberkeleyedu theory random sets branch probability theory basically random set setvalued random variable recent years theory random sets become subject growing interest within uai community reflecting close connection random sets dempstershafer theory evidential reasoning observation briefly described following close connection random sets nonrandom multisets informally multiset differs set member associated multiplicity positive integer indicating many times member example multiset la b b c b c multiplicities b c 3 3 2 respectively thus l may expressed set ordered pairs la 3 b 3 c 2 length l sum multiplicities secondorder multiset elements sets elements drawn universe discourse u example ua b c la b 2 c 3 secondorder multiset turning random sets consider setvalued random variable x taking values b c respective probabilities 25 35 random set may represented secondorder multiset la b 2 c 3 shows 11 relationship secondorder multisets random sets suggests dempstershafer theory evidence may reformulated terms secondorder multisets equivalent reformulation involving secondorder relations outlined paper simple view dempster shafer theory evidence implications rule combination evidence ai magazine 7 8590 1986 would appreciate suggestions regarding papers literature connection random sets seconorder multisets described regards lotfi lotfi zadeh professor graduate school director berkeley initiative soft computing bisc thu 07 aug 2008 001257 0700 uai random sets without randomness