定义了模糊Henstock积分意义下的实值函数与模糊数值函数的卷积,并对其基本性质进行研究,得到了基于模糊Henstock积分的Laplace变换的卷积定理.最后,借助该卷积定理对两类卷积型的模糊Volterra积分方程的求解进行讨论并给出算例.
The definition of fuzzy convolution of fuzzy-valued function and real-valued function under the meaning of fuzzy Henstock integral is given, and the basic properties of fuzzy convolution are investigated. Meanwhile, the convolution theorem of fuzzy Laplace transform is obtained. Finally, two kinds of fuzzy Volterra integral equations are studied by the fuzzy convolution theorem presented in this article and two examples are given.