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

نویسندگان

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

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

doi
10.22111/ijfs.2012.188
چکیده

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).\\