Abstract.
We introduce and study a multi-valued integral of Aumann-type where the selectors are Gould integrals of real functions with respect to finitely additive vector-valued measures. We also discuss the relationship between this kind of integral and the M-Gould set-valued integral with respect to a finitely additive multimeasure M.
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Received: November 17, 2006, Revised: September 17, 2007 and January, 8, 2008, Accepted: March 13, 2008.
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Precupanu, AM., Satco, B. The Aumann-Gould Integral. MedJM 5, 429–441 (2008). https://doi.org/10.1007/s00009-008-0160-3
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DOI: https://doi.org/10.1007/s00009-008-0160-3