| 模糊值函数序列的一致可积性 |
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| 引用本文： | 李艳红.模糊值函数序列的一致可积性[J].山东大学学报(理学版),2009,44(1):74-77. |
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| 作者姓名： | 李艳红 |
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| 作者单位： | 辽东学院师范学院数学系,辽宁,丹东,118003
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| 摘 要： | 通过引入新乘法算子,针对模糊值函数定义了(☉)-模糊值积分,在此基础上给出了模糊值函数序列一致可积的充要条件,并研究了模糊值函数序列一致可积与其模糊值积分一致有界的蕴涵关系.关健词:拟乘法算子;模糊值函数;(☉)-模糊值积分;一致可积;一致有界
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| 关 键 词： | 拟乘法算子 模糊值函数 |
| 收稿时间： | 2008-09-18 |
Uniform integrability of sequences of fuzzy valued functions |
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| LI Yan-hong.Uniform integrability of sequences of fuzzy valued functions[J].Journal of Shandong University,2009,44(1):74-77. |
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| Authors: | LI Yan-hong |
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| Institution: | Department of Mathematics;Teacher's College;Easten Liaoning University;Dandong 118003;Liaoning;China |
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| Abstract: | By the introduction of a new multiplying operator, fuzzy valued integrals were defined to aim at fuzzy valued functions. On this basis the necessary and sufficient conditions to the uniform integrability of sequences of fuzzy valued functions were given, and the implication relations between uniform integrability of sequences of fuzzy valued functions and the uniformly boundedness of the their fuzzy valued integrals were studied. |
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| Keywords: | pseudo multiplication operator fuzzy valued functions fuzzy valued integrals uniform integrability uniform boundedness |
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