GENERALIZED FUZZY VALUED$\theta$-CHOQUET INTEGRALS AND THEIR DOUBLE-NULL ASYMPTOTIC ADDITIVITY

The generalized fuzzy valued $\theta$-Choquet integrals will be estab- lished for the given $\mu$-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 satises autocontinuity from above (below).