Abstract
The aim of this paper is to investigate the multiple attribute decision making problems with interval-valued intuitionistic fuzzy information, in which the information about attribute weights is incompletely known, and the attribute values take the form of interval-valued intuitionistic fuzzy numbers. In order to get the weight vector of the attribute, we establish an optimization model based on the basic ideal of traditional TOPSIS, by which the attribute weights can be determined. Based on this model, we develop a TOPSIS method to rank alternatives and to select the most desirable one(s). Then, based on the TOPSIS method, calculation steps for solving interval-valued intuitionistic fuzzy multiple attribute decision-making problems with incompletely known weight information are given. The weighted Hamming distances between every alternative and positive ideal solution and negative ideal solution are calculated. Then, according to the weighted Hamming distances, the relative closeness degree to the positive ideal solution is calculated to rank all alternatives. Finally, a practical example for evaluating the college class teaching quality is used to illustrate the developed procedures.