Group opinion aggregationbased on a grading process: A method for constructing triangular fuzzy numbers

This paper proposes a novel method to derive the collective opinion of a group of members as expressed in a grading process in which individual group members evaluate objects or events by assigning numerical scores. The collective opinions are represented using triangular fuzzy numbers whose construction is based on the possibility distribution of the grading process. The mode and spreads of the fuzzy number are estimated using a weight determination technique. The usefulness of the proposed approach is demonstrated in a group decision-making problem involving multiple evaluation criteria. The results demonstrate that the fuzzy number construction method provides a better representation of the group preference than traditional methods.