Advancements in Multi-Criteria Decision Making Based on Interval-Valued Intuitionistic Fuzzy Set

Multi-criteria decision-making (MCDM) problem is the process of finding the best option from all of the feasible alternatives where all the alternatives can be evaluated according to a number of criteria or attribute. Since human judgments including preferences are often vague and cannot estimate his preference with an exact numerical value. Multi-criteria decision-making problems usually consist of uncertain and imprecise data and information. To deal with vagueness/imprecision Atanassov‟s intuitionistic fuzzy set [1] has found to be highly useful and they are successfully applied to the field of multi criteria decision making problems. Later on, integrating interval valued fuzzy sets with IFSs; Atanassov introduced the concept of interval valued intuitionistic fuzzy sets (IVIFSs) [2]. As a generalization of an intuitionistic fuzzy set, it is more flexible for IVIFSs to deal with uncertain and fuzzy problems. There are many situations in multi attribute decision making where IVIFS theory is more appropriate to deal with. In this paper we will review all the major contribution done in the area of multiple attribute decision-making based on interval-valued intuitionistic fuzzy sets (IVIFSs) theory.