Abstract A study on certain atomicity problems is linked to regularity in this chapter. Characterizations of atoms and non-atomicity for multimeasures taking values, most general, in the family of all nonempty subsets of a topological space, are given.

Abstract Intervals are related to the representation of uncertainty. In this sense, in this chapter we introduce an integral of Gould type for an interval-valued multifunction relative to an interval-valued multimeasure