| Fuzzy集合上的FSC—Fuzzy测度及Fuzzy积分 |
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| 引用本文： | 张广全.Fuzzy集合上的FSC—Fuzzy测度及Fuzzy积分[J].河北大学学报(自然科学版),1988(4). |
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| 作者姓名： | 张广全 |
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| 作者单位： | 河北大学数学系 |
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| 摘 要： | 文1]、2]、5]在经典σ—代数上引入了SC—Fuzzy测度及自连续、Fuzzy积分等概念,并讨论了Fuzzy积分的基本性质和Fuzzy积分序列的若干收敛定理。 本文将上述概念、结论推广到Fuzzyσ—代数。得到一些相应的结论。
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FSC-Fuzzy Measure and Fnzzy Integral on Fuzzy Set |
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| Abstract: | In this paper, some new concepts - the autocontinuity and F-null-additivity of the FSC-fuzzy Measure on a fuzzy 6-algebra and the fuzzy integral on a fuzzy set are introduced , and some properties of the fuzzy integals and some convergence theorems of the sequence of fuzzy integrals on fuzzy sets are discussed. |
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