Extension of the DANP decision making method based on interval-valued hesitant fuzzy sets

Multi attribute decision making methods have an important role in solving real life problems. Decision making is difficult for managers due to the complexity of the problems and the uncertainty and vagueness of information. Interval-valued hesitant fuzzy set (IVHFS) is an effective tool to express uncertainty, vagueness and hesitancy. HFS and IVHFS are extensions of fuzzy set. In this paper, we develop the DEAMATEL-based analytic network process (DANP) method to solve the MADM problems with IVHFS information. Firstly, the deviation degree for interval-valued hesitant fuzzy elements (IVHFEs) is described and then the subtraction and division operations for IVHFEs is introduced. After which, for a better recognition of HFE or IVHFE, a new operator is proposed which simultaneously takes into account the score value and the deviation degree. Next, the basics of DANP method are presented and after which, the principles and steps of the developed DANP method are introduced. Finally, the outsourcing of an airline company is verified by using the proposed method. Based on the result, the risk dimension is most important followed by compatibility, quality and cost. Also, flexibility in billing is the most important criterion.