| 关于模糊值函数序列的C-I平均收敛 |
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| 引用本文： | 王贵君,李晓萍.关于模糊值函数序列的C-I平均收敛[J].系统科学与数学,2009,29(2):253-262. |
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| 作者姓名： | 王贵君 李晓萍 |
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| 作者单位： | 1. 天津师范大学数学科学学院,天津,300387
2. 天津师范大学管理学院,天津,300387 |
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| 摘 要： | 在一般模糊测度空间上,利用模糊值Choquet积分定义首次给出了模糊值函数列的C-I平均收敛、C-I平均基本等概念,并针对μ-可积模糊值函数列进一步研究了它的C-I平均收敛与依模糊测度收敛、C-I平均基本与依模糊测度基本之间的蕴涵关系.
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| 关 键 词： | 模糊测度 C-I平均收敛 依模糊测度收敛 C-I平均基本 依模糊测度基本 |
| 收稿时间： | 2006-9-4 |
On the C-I Average Convergence for Sequence of Fuzzy ValuedFunctions |
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| WANG Gui-jun,LI Xiao-ping.On the C-I Average Convergence for Sequence of Fuzzy ValuedFunctions[J].Journal of Systems Science and Mathematical Sciences,2009,29(2):253-262. |
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| Authors: | WANG Gui-jun LI Xiao-ping |
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| Institution: | (1)School of Mathematics Science, Tianjin Normal University,Tianjin 300387;(2)School of Management, Tianjin Normal University, Tianjin 300387 |
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| Abstract: | On a general fuzzy measure space, by means of the definition of the fuzzy valued Choquet integral, first, the concepts of the C-I average convergence and the C-I average basis of the sequence of fuzzy valued functions are introduced. Then, for the sequence of the integrable fuzzy valued functions, the realationships between the C-I average convergence and the convergence in fuzzy measure, the C-I average basis and the basis in fuzzy measure are considered, respectively. |
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| Keywords: | Fuzzy measures C-I average convergence convergence in fuzzy measure C-I average basis basis in fuzzy measure |
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