Factorial-Quality Scalar and an Extension of ELECTRE in Intuitionistic Fuzzy Sets

A great number of real-world problems can be associated with multi-criteria decision-making. These problems are often characterized by a high degree of uncertainty. Intuitionistic fuzzy sets (IFSs) are a generalized form of an ordinal fuzzy set to deal with this natural uncertainty. In this paper, we propose a hybrid version of the intuitionistic fuzzy ELECTRE based on VIKOR method, which was never considered before. The advantage and strengths of the intuitionistic fuzzy ELECTRE based on VIKOR method as decision aid technique and IFS as an uncertain framework make the proposed method a suitable choice in solving practical problems. Finally, a numerical example for engineering manager choice is given to illustrate the application of proposed method. The paper also gives a special view of point to the research along IFSs: It can be viewed as a kind of factorial scalar theory in factor space, which helps the authors to complete the paper with clear ideas.