Handling neutral and absorbent information in aggregation processes

Abstract

We generalize the concepts of neutral and absorbent elements of aggregation operators. We introduce two types of tuples of values: the neutral tuples and the absorbent tuples. the neutral tuples are useful in situations in which information from different sources, or preferences of several decision makers, cancel each other. Absorbent tuples are useful in situations in which certain decision makers may decide the outcome irrespective of the opinion of the others. We examine the most important classes of aggregation operators in respect to their neutral and absorbent tuples.<br /