FUZZY GOULD INTEGRABILITY ON ATOMS
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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.
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Journal title
volume 8 issue 3
pages 113- 124
publication date 2011-10-18
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