| 一类折线模糊神经网络的存在性 |
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| 引用本文： | 李丹,刘轶明,王贵君.一类折线模糊神经网络的存在性[J].天津师范大学学报(自然科学版),2012,32(1):1-5. |
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| 作者姓名： | 李丹 刘轶明 王贵君 |
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| 作者单位： | 天津师范大学数学科学学院,天津,300387 |
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| 基金项目： | 国家自然科学基金资助项目 |
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| 摘 要： | 应用折线模糊值函数的表示定理和Weierstrass第一逼近定理构造了一个三层折线模糊神经网络,并借助折线模糊数的优良性质证明了折线模糊神经网络对连续折线模糊值函数具有泛逼近性.
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| 关 键 词： | 折线模糊数 折线模糊值函数 单隐层神经网络 折线模糊神经网络 泛逼近 |
Existence of a class of polygonal fuzzy neural networks |
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| LI Dan
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LIU Yi-ming
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WANG Gui-jun.Existence of a class of polygonal fuzzy neural networks[J].Journal of Tianjin Normal University(Natural Science Edition),2012,32(1):1-5. |
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| Authors: | LI Dan LIU Yi-ming WANG Gui-jun |
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| Institution: | College of Mathematical Science,Tianjin Normal University,Tianjin 300387,China |
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| Abstract: | By means of the representation theorem of polygonal fuzzy valued functions and the Weierstrass first approximation theorem,the three-layers polygonal fuzzy neural networks are constructed.And the approximation of the polygonal fuzzy neural networks with respect to the continuous polygonal fuzzy valued functions is proved by using the good properties of polygonal fuzzy numbers. |
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| Keywords: | polygonal fuzzy numbers polygonal fuzzy valued functions one hidden layer neural networks polygonal fuzzy neural networks approximation |
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