Abstract
The generalized fuzzy valued -Choquet integrals will be estab- lished for the given -integrable fuzzy valued functions on a general fuzzy measure space, and the convergence theorems of this kind of fuzzy valued in- tegral are being discussed. Furthermore, the whole of integrals is regarded as a fuzzy valued set function on measurable space, the double-null asymptotic additivity and pseudo-double-null asymptotic additivity of the fuzzy valued set functions formed are studied when the fuzzy measure satises autocontinuity from above (below).
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