The multi-attribute decision making problem is studied, in which the information on alternatives preference is
given, attribute weights are unknown partly and the attribute values are given in the forms of triangular fuzzy numbers. Two
decision methods are proposed, one is the fuzzy proportional value decision method, and the other is the degree of fuzzy
deviation decision method. By using two methods, two linear programming models are established firstly, and the attribute
weights are derived by solving two models. And then based on a possibility degree formula for comparing two triangular
fuzzy numbers and a formula for priorities of triangular fuzzy numbers, the decision alternatives are ranked. Finally, a
numerical example shows the feasibility and effectiveness of the two methods.