Gui-jun Wang - School of Mathematics Science, Tianjin Normal University, Tianjin ۳۰۰۳۸۷, China
Xiao-ping Li - School of Management, Tianjin Normal University, Tianjin ۳۰۰۳۸۷, China

The generalized fuzzy valued \theta-Choquet integrals will beestablished for the given \mu-integrable fuzzy valued functionson a general fuzzy measure space, and the convergence theorems ofthis kind of fuzzy valued integral are being discussed.Furthermore, the whole of integrals is regarded as a fuzzy valuedset function on measurable space, the double-null asymptoticadditivity and pseudo-double-null asymptotic additivity of thefuzzy valued set functions formed are studied when the fuzzymeasure satisfies autocontinuity from above (below).\\

Fuzzy measures, Fuzzy valued theta-Choquet integrals, Autocontinuous from above (below), Double-null asymptotic additive, Pseudo-double-null asymptotic additive