| F集值函数的积分 |
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| 引用本文： | 王文平.F集值函数的积分[J].四川师范大学学报(自然科学版),1991(5). |
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| 作者姓名： | 王文平 |
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| 作者单位： | 四川师范大学数学系 |
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| 摘 要： | 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.
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| 关 键 词： | F集值函数可测 F拓扑收敛 超拓扑空间 |
INTEGRAL OF F SET VALUED FUNCTIONS |
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| Wang Wenping.INTEGRAL OF F SET VALUED FUNCTIONS[J].Journal of Sichuan Normal University(Natural Science),1991(5). |
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| Authors: | Wang Wenping |
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| Institution: | Department of Mathematics |
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| Abstract: | 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. |
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| Keywords: | F measurable of F set valued function convergence of F topological supertopology space |
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