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计算机工程 ›› 2010, Vol. 36 ›› Issue (10): 212-214. doi: 10.3969/j.issn.1000-3428.2010.10.073

• 人工智能及识别技术 • 上一篇    下一篇

一种参数化模糊联想记忆网络的鲁棒性分析

唐良荣1,蒋 真1,徐蔚鸿1,2,李 鹰1   

  1. (1. 长沙理工大学计算机与通信工程学院,长沙 410077;2. 吉首大学数学与计算机科学学院,吉首 416000)
  • 出版日期:2010-05-20 发布日期:2010-05-20

Robustness Analysis of Parameterized Fuzzy Associative Memory Network

TANG Liang-rong1, JIANG Zhen1, XU Wei-hong1,2, LI Ying1   

  1. (1. College of Computer and Communications Engineering, Changsha University of Science and Technology, Changsha 410077;2. College of Mathematics and Computer Science, Jishou University, Jishou 416000)
  • Online:2010-05-20 Published:2010-05-20

摘要: 基于最大运算Max以及带参数ξ的t-模Tξ的模糊关系合成,提出一种参数化的广义模糊联想记忆网络Max-Tξ FAM及一种有效学习算法。由于Tξ中参数ξ的作用,在应用中Max-Tξ FAM有更大的适应性和灵活性。从理论上证明采用该学习算法时,对任意 ,Max-Tξ FAM对训练模式摄动的鲁棒性差。通过一个图像联想方面的实验检验了该结论的正确性。

关键词: 模糊神经网络, 模糊联想记忆网络, 学习算法, 鲁棒性, t-模

Abstract: Based on fuzzy composition of maximum operation and a t-norm Tξ with a parameter ξ, a parameterized general fuzzy associative memory network Max-Tξ FAM and its effective learning algorithm are presented. By adjusting parameter ξ, the Max-Tξ FAM has good adaptability and flexibility in practice. It is proved theoretically that, using the mentioned above learning algorithm, Max-Tξ holds weak robustness to perturbations of training pattern pairs for any [0.1]. Experiment about image association validates this conclusion.

Key words: fuzzy neural network, fuzzy associative memory network, learning algorithm, robustness, t-norm

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