Th is paper studies a k ind of uncertain multi2attribute decision2mak ing p roblem s, in w h ich the information about the attributew eigh ts is unknow n comp letely and the attribute values are in the form s of interval numbers. Some formulas for normalizing the decision matrix w ith interval numbers are given. Fur2 thermore, a simp le formula of maxim izing deviations, based on deviation degree, for obtaining the attribute w eigh ts is given, and a p riority method, based on possibility degree, for the uncertain multi2attribute deci2 sion2mak ing p roblem is also p roposed. F inally, a numerical examp le is given to show the feasibility and ef2 fectiveness of the method.