| 模糊复测度空间上可测函数列几种收敛性之间的关系 |
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| 引用本文： | 仇计清,孙婷.模糊复测度空间上可测函数列几种收敛性之间的关系[J].模糊系统与数学,2007,21(2):92-96. |
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| 作者姓名： | 仇计清 孙婷 |
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| 作者单位： | 河北科技大学,应用数学系,河北,石家庄,050018 |
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| 摘 要： | 作为经典复测度和模糊测度的推广,研究模糊复测度及模糊复测度空间上可测函数列几种收敛性之间的关系.在模糊复测度空间上得到了Egoroff定理、Lebesgue定理和Riesz定理等重要结果.为模糊复分析的深入研究打下一定基础.
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| 关 键 词： | 模糊复测度 几乎处处收敛 几乎一致收敛 依测度收敛 模糊复分析 测度空间 可测函数列 收敛性 关系 Measure Space Complex Fuzzy Sequence Functions Convergence 结果 定理 研究 模糊测度 复测度 |
| 文章编号： | 1001-7402（2007）02-0092-05 |
| 收稿时间： | 2005-12-16 |
| 修稿时间： | 2006-03-16 |
Relation on Convergence of Measurable Functions Sequence on Fuzzy Complex Measure Space |
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| QIU Ji-qing,SUN Ting.Relation on Convergence of Measurable Functions Sequence on Fuzzy Complex Measure Space[J].Fuzzy Systems and Mathematics,2007,21(2):92-96. |
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| Authors: | QIU Ji-qing SUN Ting |
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| Institution: | Department of Applied Mathematics,Hebei University of Science and Technology,Shijiazhuang 050018,China |
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| Abstract: | As the extension of classical complex measure and fuzzy measure,we research fuzzy complex measure and the relation on convergence of measurable functions sequence on fuzzy complex measure space. We obtain some important results on fuzzy complex measure space, such as Egoroff theorem, Lebesgue theorem, Riesz theorem etc. It builds the certain foundation for the intensive research of fuzzy complex analysis. |
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| Keywords: | Fuzzy Complex Measure Convergence Almost Everywhere Convergence Almost Uniformly Convergence in Measure |
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