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Banach空间上集值测度与模糊数测度的扩张
引用本文:哈明虎,薛小平,李国成. Banach空间上集值测度与模糊数测度的扩张[J]. 模糊系统与数学, 2000, 14(4): 13-23
作者姓名:哈明虎  薛小平  李国成
作者单位:1. 河北大学,数学系,河北,保定,071002
2. 哈尔滨工业大学,数学系,黑龙江,哈尔滨,150001
基金项目:Special Fund of China for Ph.D.Instructors in Universities,Special Fund of Hebei Province forPh.D.
摘    要:
在Banach空间上,给出集值测度的扩张定理并借助集测度的扩张给出了模糊数测度的扩张定理。

关 键 词:模糊数测度 Banach空间 集值测度 扩张定理

On the Extension of the Set Valued Measures and Fuzzy Number Measures in Banach Spaces
HA Ming-hu,XUE Xiao-ping,LI Guoc-heng. On the Extension of the Set Valued Measures and Fuzzy Number Measures in Banach Spaces[J]. Fuzzy Systems and Mathematics, 2000, 14(4): 13-23
Authors:HA Ming-hu  XUE Xiao-ping  LI Guoc-heng
Abstract:
The extension theorem for set valued measures is shown and the extension theorems for fuzzy number measures are given by the extension of the set valued measures in Banach spaces.
Keywords:Measure Theory  Extension of the Fuzzy Number Measures  Banach Spacep
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