TODIM method for performance appraisal on social-integration-based rural reconstruction with interval-valued intuitionistic fuzzy information

Recently, the TODIM has been used to solve multiple attribute decision making (MADM) problems. The interval-valued intuitionistic fuzzy sets (IVIFSs) are useful tools to depict uncertainty of the MADM. In this paper, we will extend TODIM method to the MADM with the interval-valued intuitionistic fuzzy numbers (IVIFNs). Firstly, the definition, comparison and distance of IVIFNs are introduced, and the steps of the classical TODIM method for MADM problems are presented. Then, the extended classical TODIM method is proposed to deal with MADM problems with the IVIFNs, and its significant characteristic is that it can fully consider the decision makers’ bounded rationality which is a real action in decision making. Finally, a numerical example for performance appraisal on social-integration-based rural reconstruction is proposed and a comparative analysis is also given.