  In this paper, we propose a new generalization of the classical discrete
Choquet integral to the multivalued framework in terms of an admissible order
that refines the natural partial order on the considered value set. The new
Choquet-like operator takes as input a finite number of values of a given type,
in particular real numbers, intervals, and vectors, and returns a~single output
value of the same type as the input values. We give necessary and sufficient
conditions for the operator to be monotone with respect to the admissible
order. We then provide a complete characterization of the Choquet-like operator
as an aggregation function with respect to the admissible order and study its
selected special cases.
