FURTHER CONTRIBUTIONS TO THE STUDY OF THE AVERAGE VALUE FOR RANKING FUZZY NUMBERS

The average value was introduced to help in the ordering of fuzzy numb ers and was defined by means of an integrating process of a parametric function representing the position of every alpha-cut in the real lin e. Some well-known indices are included in this schema. We study some properties of the average value, and by interpreting the different par ameters used to define it, we show that it can be adapted to the decis ion-maker's preference. Finally, distance measures between fuzzy numbe rs associated with the average value are defined.