F值函数关于F测度的Choquet积分

Choquet integral of F-valued function with F measurement

为取值于F数的Choquet积分系列 ,探讨了F值函数关于F测度的Choquet积分。以区间分析为工具 ,在定义区间值函数Choquet积分的基础上 ,给出了F值函数Choquet积分的定义 。

The present paper is one of the series papers about the Choquet integral with values in fuzzy numbers.It deals with the Choquet integral of F-Valued function with respect to fuzzy measurement.By means of interval-analysis and based on defining the Choquet integral of interval-valued function,we define the Choquet integral of F-valued function and obtain its various kinds of properties and convergence theorems.