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中文摘要：
针对已经建立的K-拟可加模糊值积分,将这种积分整体看成可测空间上取值于模糊数值的集函数。应用其转换定理和诱导算子的性质,获得了这种模糊积分不仅具有双零渐近可加性,而且也满足穷竭性。这些特性对于描述模糊值可测函数列和模糊积分序列的收敛性具有重要的意义。
英文摘要：
Aiming at having established K-quasi-additive fuzzy valued integrals, we regard all of this kind of integrals as set functions being taken valued fuzzy number valued on measurable spaces. Applying the integrals transformation theorem and the properities of inductive operators, we obtain this kind of fuzzy integrals not only having double-null asymptotic additivity but also satisfying exhaustivity. These properities have very important significance for discribing the convergence of sequence of fuzzy valued measurable functions and sequence of fuzzy integral.
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