TOPSIS method for interval-valued intuitionistic fuzzy multiple attribute decision making

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 completely known, and the attribute values take the form of interval-valued intuitionistic fuzzy numbers. A modified TOPSIS analysis method is proposed. Then, based on the traditional TOPSIS method, calculation steps for solving interval-valued 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, an illustrative example is given to verify the developed approach and to demonstrate its practicality and effectiveness.