AbstractIn this paper we investigate multi-attribute decision making problem, where the attribute values are Z-numbers, and the weight information on attributes are partially reliable. The presented method is based on overall criteria positive ideal and negative ideal solution of alternatives and distance between Z-vectors. Final decision alternative is selected on basis of degree of membership of candidates belonging to the positive ideal solution. A numerical example on multi-attribute decision making for Web Services selection is given to illustrate the solution processes of the suggested method.