VIKOR method for financing risk assessment of rural tourism projects under interval-valued intuitionistic fuzzy environment

Recently, the VIKOR 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 problems. In this paper, we will extend VIKOR method to the MADM with the interval-valued intuitionistic fuzzy numbers (IVIFNs). Firstly, the definition, comparison and distance of IVIFNs are briefly introduced. Then, the extended classical VIKOR 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 financing risk assessment of rural tourism projects is proposed and a comparative analysis is also given.