A new multiattribute decision making method based on multiplication operations of interval-valued intuitionistic fuzzy values and linear programming methodology

In this paper, we propose a new method for multiattribute decision making (MADM) using multiplication operations of interval-valued intuitionistic fuzzy values (IVIFVs) and the linear programming (LP) methodology. It can overcome the shortcomings of Chen and Huang's MADM method (2017), where Chen and Huang's MADM method has two shortcomings, i.e., (1) it gets an infinite number of solutions of the optimal weights of attributes when the summation values of some columns in the transformed decision matrix (TDM) are the same, resulting in the case that it obtains different preference orders (POs) of the alternatives, and (2) the PO of alternatives cannot be distinguished in some situations.