Further contributions to the study of the average value for ranking fuzzy numbers

AbstractThe average value was introduced to help in the ordering of fuzzy numbers and was defined by means of an integrating process of a parametric function representing the position of every α-cut in the real line. Some well-known indices are included in this schema. We study some properties of the average value, and by interpreting the different parameters used to define it, we show that it can be adapted to the decision-maker's preference. Finally, distance measures between fuzzy numbers associated with the average value are defined