| L-Fuzzy集合上的Fuzzy值函数关于Fuzzy值Fuzzy测度的Fuzzy值Fuzzy积分 |
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| 引用本文： | 张广全. L-Fuzzy集合上的Fuzzy值函数关于Fuzzy值Fuzzy测度的Fuzzy值Fuzzy积分[J]. 河北大学学报(自然科学版), 1993, 0(2) |
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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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| 基金项目： | 国家自然科学基金资助课题 |
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| 摘 要： | 文[3]在L-Fuzzy集合上引入了Fuzzy值Fuzzy测度与实值函数关于Fuzzy值,Fuzzy测度的Fuzzy值Fuzzy积分,并讨论了它们的性质,得到了一系列有意义的结果。本文在L-Fuzzy集合上引入Fuzzy值函数关于Fuzzy值Fuzzy测度的Fuzzy值Fuzzy积分,给出上述概念的几个等价定义,讨论了这种积分的一些基本性质。
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| 关 键 词： | L-Fuzzy集合 Fuzzy数 Fuzzy测度 Fuzzy积分 |
Fuzzy Number-valued Fuzzy Integral of Fuzzy Number-valued Function with Respect of Fuzzy Number-valued Fuzzy Measure on the L-fuzzy Set |
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| Zhang Guangquan. Fuzzy Number-valued Fuzzy Integral of Fuzzy Number-valued Function with Respect of Fuzzy Number-valued Fuzzy Measure on the L-fuzzy Set[J]. Journal of Hebei University (Natural Science Edition), 1993, 0(2) |
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| Authors: | Zhang Guangquan |
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| Affiliation: | Department of Mathematics |
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| Abstract: | Zhang [3] introduced the fuzzy number- valued fuzzy measure and the fuzzy number- valued fuzzy integral of real- valued function with respect to fuzzy number- valuedfuzzy measare on the L- fuzzy set , and discussed their properties , and obtained some interesting results .In this paper , we introduceda concept of fuzzy number-valued fuzzy intergral of fuzzy number-valued function with respect to fuzzy number-valued fuzzymeasure on the L-fuzzy set, give some equivalant definitions of the concept mentioned above, obtain a series of elementary properties of fuzzy number-valued fuzzy intergral of fuzzy number- valued function. |
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| Keywords: | Fuzzy number L-Fuzzy Set Fuzzy measure Fuzzy integral |
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