FUZZY GOULD INTEGRABILITY ON ATOMS

In this paper we study the relationships existing between total measurability in variation and Gould type fuzzy integrability (introduced and studied in [21]), giving a special interest on their behaviour on atoms and on nite unions of disjoint atoms. We also establish that any continuous real valued function dened on a compact metric space is totally measurable in the variation of a regular nitely purely atomic multisubmeasure and it is also Gould integrable with respect to regular nitely purely atomic multisubmeasures.