Non-atomicity and the Darboux property for fuzzy and non-fuzzy Borel/Baire multivalued set functions

In this paper, we establish results concerning non-atomicity and the Darboux property for multisubmeasures/fuzzy multivalued set functions defined on the Baire (respectively, Borel) δ-ring B0 (respectively, B) of a locally compact, Hausdorff space.