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›› 2000, Vol. 26 ›› Issue (12): 94-96.

• 论文 • 上一篇    下一篇

如何将多个规则存储于一个模糊联想记忆矩阵中

施福莱,许志雄   

  1. 同济大学经济与管理学院 上海 200092,申银万国证券有限公司 上海 200031
  • 发布日期:2000-12-25

How to Store Multiple Rules in one FAM Matrix

SHI Fulai1 ,XU Zhixiong2   

  1. (1.School of Economics & Management, Tongji University, Shanghai 200092;2.Computer Network Dept., Shenyin & Wanguo Securities Co., Ltd., Shanghai 200031)
  • Published:2000-12-25

摘要: Kosko的模糊联想记忆(FAM)神经网络得到了广泛的应用,然而却受到了低存储量的限制。Chung和Lee建立了一个矩阵存储多规则并能正确回忆的定理。基于这个定理,FAM模型的硬件及计算量需求能够显著地减少。但是,使用这个定理必须满足一个前提条件,即X(a)+X (a)(1,其中a=1, 2, ?, n。在这篇论文中,证明Chung和Lee的定理可以推广到连续的情形。提出了一个新的方法。这个方法即使在X(a)+X (a)> 1的情形下也是有效的,并且存储量可以进一步降低,更有利于大规则库系统的应用。

关键词: 模糊联想记忆, Sup-min垂直, 神经网络

Abstract: Kosko's fuzzy associative memory (FAM) suffers from low storage capacity. Chung and Lee established a theorem for perfect recall of all stored rules, based upon which the hardware and computation requirements of the FAM model can be reduced significantly. Unfortunately, X(a)+X (a)(1, where a=1, 2, ?, n, must be satisfied. In this paper, we first prove that Chung and Lee's theorem can be generalized to a continuous case. Then, we propose a new method which is effective even when X(a)+X (a)>1, where a=1, 2, ?, n, and whose storage can be further reduced because of the nature of the method.

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