FUZZY GOULD INTEGRABILITY ON ATOMS

Document Type: Research Paper

Author

Faculty of Mathematics, Al. I. Cuza University, Iasi, Romania

Abstract

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.

Keywords


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