| 基于分解测度的模糊积分及收敛定理Mamadou Traore |
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| 引用本文： | 马马都.基于分解测度的模糊积分及收敛定理Mamadou Traore[J].数学杂志,2001,21(4). |
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| 作者姓名： | 马马都 |
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| 作者单位： | 哈尔滨工业大学数学系, |
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| 摘 要： | 为了解决一些收敛定理,我们给出基于半环(0,1],, )的伪可加分解测度的积分这种模糊积分被深入研究.在给出这种积分的性质的基础上,我们得到一些收敛定理,它们是经典收敛定理的扩张,同时我们得到关于这种模糊测度的Egorof定理.
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| 关 键 词： | 可分解测度 模糊积分 伪可加分解测度 收敛定理 |
THE FUZZY INTEGRAL BASED ON -DECOMPOSABLE MEASURE AND THE CONVERGENCE THEOREM |
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| Mamadou TRAORE.THE FUZZY INTEGRAL BASED ON -DECOMPOSABLE MEASURE AND THE CONVERGENCE THEOREM[J].Journal of Mathematics,2001,21(4). |
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| Authors: | Mamadou TRAORE |
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| Abstract: | Using integral based on pseudo-additive decomposable measure with respect to pseudo-addition(related to a semi ring (0,1], ,)) a unified method is given to solve some convergence theorem. Further investigation of fuzzy integral based on pseudo-additive decomposable measure are carried out. Finally Egoroff theorem will be obtain for that kind of fuzzy measure. |
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