另一方面，文中还给出了广义模糊积分平均收敛蕴涵依测度收敛的几个简洁的充分性条件，以及使两者等价的条件。
On the other hand, we also give several terse sufficiency conditions where the fuzzy mean convergence of (G) fuzzy integrals implies the convergence in fuzzy measure and making them equivalent.
作为应用之一，在合理定义了广义矢值测度后，得到了约当分解定理，并且这种广义矢值测度就是一个模糊数值测度。
As one of applications, the Jordan decomposition theorem of a properly defined signed vector-valued measure is obtained, and the signed vector-valued measure is just a fuzzy number-valued measure.
类似地，还讨论了“依测度基本”与“广义模糊积分平均基本”的关系。
Similarly, we discuss the relation between fundamental convergence in fuzzy measure and fuzzy mean fundamental convergence of (g) fuzzy integrals.
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