A new hesitant fuzzy analytical hierarchy process method for decision-making problems under uncertainty

Abstract

Hesitant fuzzy set is a useful and powerful tool for dealing with uncertainty and hesitant situations. This concept helps experts or decision makers so that they specify their evaluations under a set. In this paper, we present the hesitant fuzzy sets for the analytical hierarchy process (AHP) method. For convenience, we call the proposed method as HF-AHP. In the process of proposed method, decision makers' evaluations for comparison matrices are expressed by linguistic variables and then DMs' judgments are aggregated the by utilizing the hesitant fuzzy geometric operator. Finally, the performance of the proposed HF-AHP method is illustrated for the selection of the most appropriate bridge construction problem from the recent literature. Computational results and the comparative analysis demonstrate that the presented method can be used for multi-level evaluation process to assist decision makers for better judgment in selecting the best alternative.