Unbalanced interval-valued OWA operators

Abstract

In this work, we introduce a new class of functions defned on the interval-valued setting. These functions extend classical OWA operators but allow for diferent weighting vectors to handle the lower bounds and the upper bounds of the considered intervals. As a consequence, the resulting functions need not be an interval-valued aggregation function, so we study, in the case of the lexicographical order, when these operators give an interval as output and are monotone. We also discuss an illustrative example on a decision making problem in order to show the usefulness of our developments.