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

Abstract

The generalized fuzzy valued $theta$-Choquet integrals will be<br />established for the given $mu$-integrable fuzzy valued functions<br />on a general fuzzy measure space, and the convergence theorems of<br />this kind of fuzzy valued integral are being discussed.<br />Furthermore, the whole of integrals is regarded as a fuzzy valued<br />set function on measurable space, the double-null asymptotic<br />additivity and pseudo-double-null asymptotic additivity of the<br />fuzzy valued set functions formed are studied when the fuzzy<br />measure satisfies autocontinuity from above (below).<br /><br /><br />