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 regula...

Consider non-atomic vector measure games; i.e., games u of the form u = f o(pI.. . ,p.), where (pIr.. .,p.) is a vector of non-atomic non-negative measures and f is a real-valued function defined on the range of (pi,. . .,pi.). Games of this form arise, for example, from production models and from finite-type markets. We show that the value of such a game need not be a linear combination of the...