GENERALIZED FUZZY VALUED theta-Choquet INTEGRALS AND THEIR DOUBLE-NULL ASYMPTOTIC ADDITIVITY

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).\\

Keywords:

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