Multiattribute decision making based on interval-valued intuitionistic fuzzy values and linear programming methodology

In recent years, some multiattribute decision making (MADM) methods have been presented based on interval-valued intuitionistic fuzzy sets (IVIFSs). In this paper, we propose a new MADM method based on interval-valued intuitionistic fuzzy values (IVIFVs) and the linear programming methodology, where the weights of attributes and the evaluating values of attributes of the alternatives given by the decision maker are represented by IVIFVs. The linear programming methodology is used to obtain the optimal weights of the attributes. The proposed method has the advantage that it can overcome the drawbacks of the existing MADM methods for MADM in interval-valued intuitionistic fuzzy environments. The proposed method provides us with a very useful way for MADM in interval-valued intuitionistic fuzzy environments.