FUZZY GOULD INTEGRABILITY ON ATOMS
نویسندگان
1 Faculty of Mathematics, Al. I. Cuza University, Iasi, Romania
doi
10.22111/ijfs.2011.290چکیده
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 finite unions of disjoint atoms. We also establish that any continuous real valued function defined on a compact metric space is totally measurable in the variation of a regular finitely purely atomic multisubmeasure and it is also Gould integrable with respect to regular finitely purely atomic multisubmeasures.