A MAGDM Method Considering the Amount and Reliability Information of Interval-Valued Intuitionistic Fuzzy Sets.

Intuitionistic fuzzy sets (IFSs) and interval-valued intuitionistic fuzzy sets (IVIFSs) are flexible to deal with the vague and/or imprecise information. Thus, many multi-attribute group decision making (MAGDM) problems are modeled by IFSs or IVIFSs. The comparison of two IVIFSs is still a hot topic, and thereby this paper proposes a new ranking function of IVIFSs, which takes into the amount and the reliability information of an IVIFS and combines the advantages of TOPSIS. Based on the new ranking function, we establish an optimization model to determine the attribute weights when they are unknown and partially known. Moreover, we develop an effective method for solving MAGDM problems in which the attribute values are expressed with IVIFSs. A numerical example of supplier selection problem is examined to demonstrate applicability and feasibility of the proposed method. [ABSTRACT FROM AUTHOR]