F集值函数的积分

INTEGRAL OF F SET VALUED FUNCTIONS

本文在王文平(1990)的F集值函数积分定义的基础上,讨论了积分值为F凸集和F数的条件,证明了积分运算性质和积分极限定理,以及超拓扑意义下F集列的收敛性与F拓扑意义下的收敛性一致.

Based on the integral definition of F set valued function given by Wang Wenping (1990). The integral values as the con- ditions of F convex set and F number are discussed, and the operation quality and the integral limit theorem are proved. The consistency of the convergence of F set sequence under the supertopology and the F topology is given.