| Fuzzy集合上的Fuzzy积分序列收敛定理 |
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| 引用本文： | 乔忠.Fuzzy集合上的Fuzzy积分序列收敛定理[J].辽宁工程技术大学学报(自然科学版),1990(1). |
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| 作者姓名： | 乔忠 |
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| 作者单位： | 河北建筑工程学院 |
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| 摘 要： | 本文引入了Fuzzy集函数的“自连续性”、“伪自连续性”,关于可测函数列给出了“几乎处处收敛”、 “伪几乎处处收敛”、“依Fuzzy测度收敛”、“伪依Fuzzy测度收敛”等概念。进一步,在讨论了Fuzzy集合上Fuzzy积分的一些性质的基础上,证明了Fuzzy积分序列的一些收敛定理。
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| 关 键 词： | 模糊集合 模糊σ-代数 模糊测度 模糊积分 |
CONVERGENCE THEOREMS FOR SEQUENCE OF FUZZY INTEGRALS ON FUZZY SETS |
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| Qiao Zhong.CONVERGENCE THEOREMS FOR SEQUENCE OF FUZZY INTEGRALS ON FUZZY SETS[J].Journal of Liaoning Technical University (Natural Science Edition),1990(1). |
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| Authors: | Qiao Zhong |
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| Abstract: | In this paper, the autocontinuity and the pseudo-autocontinuity for a fuzzy set function are introduced, some concepts of the convergence (pseudo-) almost everywhere and the convergence (pseudo-) in fuzzy measure fpr a sequence of measurable functions are given. Furthermore, we discuss some properties of fuzzy integrals on. fuzzy sets and prove some convergence theorems of a sequence of fuzzy integrals. |
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