Operators invariant under finitely many input changes with applications to aggregation of sequences

In the framework of finitely additive measures defined on the power set of an infinite set X, we consider related operators defined on bounded functions on X invariant under finitely many changes of input values. Specifically, we reconsider these operators with an extended use of the concept of filter, which provides novel insights into the problem. Then, we apply the obtained results to the study of the aggregation of infinite sequences.