集值映射的单值广义模糊积分

Single-valued generalized fuzzy integrals of set-valued mappings

借助于广义三角模给出了集值可测映射一种新的模糊积分的定义,它是单值可测函数的模糊积分的推广。在给出该积分的一些基本性质的基础上,得到了该积分的一个重要收敛定理。

By using the generalized triangle norm, we introduced a new concept of a fuzzy integral of a measur- able set-valued mapping, which generalized the fuzzy integral of a measurable single-valued function. After pre- senting some basic properties of this integral, we obtained an important convergence theorem of it.