A new concept of similarity measure for IT2FS TOPSIS and its use in decision making

Abstract

Multiple criteria decision making (MCDM) is widely used in ranking alternatives from a set of available alternatives with regard to relevant criteria. Fuzzy TOPSIS is the famous technique in MCDM problem. The combination of fuzzy TOPSIS and Interval Type-2 Fuzzy Set have made this technique better in handling uncertainty due to the fact IT2FS is better in handling uncertainty than Type-1 Fuzzy Set. Usually, in TOPSIS method, Euclidean distance is used. However, instead of using Euclidean distance we choose Cosine Similarity Measure (CSM) in finding the distance. Some modifications of CSM have been made to accustom with the interval type-2 fuzzy TOPSIS. In order to clarify this approach, we illustrated a solution of numerical example for supplier selection problem at the end of this paper. © 2014 AIP Publishing LLC.