Learning algorithm for parameterized fuzzy associative memory

doi:10.3778/j.issn.1002-8331.2009.12.014

Computer Engineering and Applications ›› 2009, Vol. 45 ›› Issue (12): 45-46.DOI: 10.3778/j.issn.1002-8331.2009.12.014

• 研究、探讨 • Previous Articles Next Articles

Learning algorithm for parameterized fuzzy associative memory

TANG Liang-rong¹,WU Jian-hua¹,XU Wei-hong^1,2

1.College of Computer and Communications Engineering，Changsha University of Science and Technology，Changsha 410077，China
2.College of Mathematics and Computer Science，Jishou University，Jishou，Hunan 416000，China

Received:2008-03-10 Revised:2008-06-03 Online:2009-04-21 Published:2009-04-21
Contact: TANG Liang-rong

参数化模糊联想记忆网络的学习算法

唐良荣¹,吴建华¹,徐蔚鸿^1,2

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，湖南吉首 416000

通讯作者: 唐良荣

Abstract

Abstract: Based on fuzzy composition of maximum operation and a t-norm T_ξ with a parameter ξ proposed by Dubois，a parameterized general fuzzy associate memory Max-T_ξ FAM is presented in this paper.By adjusting parameter ξ，the Max-T_ξ FAM has good adaptability and flexibility in practice.Taking advantage of the concomitant implication operator of T_ξ，a simple effective learning algorithm is proposed for the Max-T_ξ FAM.It is proved theoretically that，for arbitrary given training pattern pairs，if the Max-T_ξ FAM has ability to store them reliably and completely，then the proposed learning algorithm can find the maximum of all connected weight matrices which can ensure that the Max-T_ξ FAM stores reliably these pattern pairs.Finally an experiment is given to illustrate the effectivity of the presented learning algorithm.

Key words: concomitant implication operator, fuzzy associative memory, learning algorithm, t-norm

摘要： 基于Dubois提出的带参数ξ的t-模T_ξ，提出了一种参数化的广义模糊联想记忆网络Max-T_ξ FAM。由于T_ξ中参数ξ的作用，在应用中Max-T_ξ FAM有更强的可调性和灵活性。接着利用T_ξ的伴随蕴涵算子，提出了Max-T_ξ FAM的一种有效学习算法。从理论上严格证明了，只要Max-T_ξ FAM能完整可靠地存储所给的多个模式对，则所提出的学习算法一定能找到使得网络能完整可靠存储这些模式对的所有连接权矩阵的最大者。最后，用实验说明了所提出的学习算法的有效性。

关键词: 伴随蕴涵算子, 模糊联想记忆网络, 学习算法, t-模

TANG Liang-rong¹,WU Jian-hua¹,XU Wei-hong^1,2. Learning algorithm for parameterized fuzzy associative memory[J]. Computer Engineering and Applications, 2009, 45(12): 45-46.

唐良荣¹,吴建华¹,徐蔚鸿^1,2. 参数化模糊联想记忆网络的学习算法[J]. 计算机工程与应用, 2009, 45(12): 45-46.

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Learning algorithm for parameterized fuzzy associative memory

参数化模糊联想记忆网络的学习算法

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