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

Document Type : Research Paper

Authors

1 School of Mathematics Science, Tianjin Normal University, Tianjin 300387, China

2 School of Management, Tianjin Normal University, Tianjin 300387, China

Abstract

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

Keywords

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