Fuzzy Multiple Attribute Decision Making Based on Interval Valued Intuitionistic Fuzzy Sets

This paper presents a novel method for multiple attribute decision-making based on interval valued intuitionistic fuzzy sets (IVIFSs) theory and TOPSIS method in fuzzy environments. In this paper, the concept of interval-valued intuitionistic fuzzy sets is introduced, and the distance between two interval valued intuitionistic fuzzy sets is defined. Then, according to the ideal of classical TOPSIS method, a closeness coefficient is defined to determine the ranking order of all alternatives by calculating the distances to both the interval valued intuitionistic fuzzy positive-ideal solution and interval valued intuitionistic fuzzy negative-ideal solution. The multi-attribute decision-making process based on IVIFSs is given in fuzzy environments. Finally, an example is shown to highlight the validity and procedure of the proposed method.