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
中图分类号:
唐良荣, 蒋真, 徐蔚鸿, 李鹰. 一种参数化模糊联想记忆网络的鲁棒性分析[J]. 计算机工程, 2010, 36(10): 212-214.
TANG Liang-Rong, JIANG Zhen, XU Wei-Hong, LI Ying. Robustness Analysis of Parameterized Fuzzy Associative Memory Network[J]. Computer Engineering, 2010, 36(10): 212-214.