The purpose of this study is to present models for evaluation and selection of DataBase Management Systems(DBMS) suppliers. The major concern of management is that most decision problems have multiple, usually conflicting, criteria. The fuzzified multiple-objective programming models are given to accomodate the aspiration level and satisfaction level of decision makers. The proposed models are classified into two types, that is, pre-emptive priority and interpolated non-membership function model. Numerical examples illustrating each type of model are presented and the implications of these models are discussed.