How to Make Decisions with Uncertainty Using Hesitant Fuzzy Sets?

Abstract

More and more often, we have to deal with uncertain data while making decisions. One popular way to model uncertain data is to use one of the many generalizations of fuzzy sets. In this paper, we would like to draw attention for the use of Hesitant fuzzy sets (HFSs) in solving decision-making problems. The main challenge is the complex algorithms that can guarantee high accuracy and operate on HFSs. The HFS COMET approach is known in the literature but is rarely used due to its complexity. The main contribution of our work is the simplification of the HFS COMET algorithm to make it more applicable. For this purpose, we make comparisons of different score functions, which are used to infer based on a hybrid algorithm that combines the advantages of TOPSIS and COMET methods. Finally, we have shown the efficiency of the proposed approach by using reference rankings and similarity coefficients.