Multiple attribute decision making method in the frame of interval-valued intuitionistic fuzzy sets

Interval-valued intuitionistic fuzzy set (IVIFS) is effective in dealing with fuzziness and uncertainty inherent in decision data and multi-attribute decision making (MADM) process. The aim of this paper is to develop a method that is based on the accuracy function, which is proposed in this paper, to solve MADM problems with both ratings of alternatives on attributes and weights of attributes expressed with IVIFSs. Firstly, we propose a method to determine the attribute weights based on the accuracy function. Secondly, we utilize interval-valued intuitionistic fuzzy weighted averaging (IIFWA) operator to aggregate all attribute values for every alternative. Finally, we rank all the alternatives with the values of accuracy function for every alternative and choose the most desirable one. The proposed methodology is validated and compared with other similar methods based on some numerical examples.