Generalizing TOPSIS method for multiple attribute decision making in intuitionistic fuzzy setting

The aim of this paper is to investigate the multiple attribute decision making problems with intuitionistic fuzzy information, in which the information about attribute weights is completely known, and the attribute values take the form of intuitionistic fuzzy numbers. A modified TOPSIS analysis method is proposed. Then, based on the traditional TOPSIS method, calculation steps for solving intuitionistic fuzzy multiple attribute decision-making problems with 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 is used to illustrate the developed procedures.