Interval-Valued Hesitant Fuzzy Method based on Group Decision Analysis for Estimating Weights of Decision Makers

Abstract

In this paper, a new soft computing group decision method based on the concept of compromise ratio is introduced for determining decision makers (DMs)' weights through the group decision process under uncertainty. In this method, preferences and judgments of the DMs or experts are expressed by linguistic terms for rating the industrial alternatives among selected criteria as well as the relative significance of each criterion. The DMs' opinions are demonstrated by a decision matrix in interval-valued hesitant fuzzy sets (IVHFSs). In addition, the interval-valued hesitant fuzzy positive and negative ideal solutions are defined by the matrix, respectively. Then, the hesitant fuzzy average and worst group scores of the DMs' decision matrix from matrices of interval-valued hesitant fuzzy positive and negative ideal solutions are described based on <em>n</em>-dimensional interval-valued hesitant fuzzy Euclidean distance measure. Further, a novel collective index is introduced based on the IVHFS to determine the weight of each DM or expert in the group decision process. Finally, an application example in industrial selection problems is presented about the best site selection for building a new factory to explain the computation process of the proposed soft computing group decision method in detail.