吴微

个人信息Personal Information

教授

博士生导师

硕士生导师

性别:男

毕业院校:英国牛津大学数学所

学位:博士

所在单位:数学科学学院

学科:计算数学

电子邮箱:wuweiw@dlut.edu.cn

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FINITE CONVERGENCE OF A FUZZY delta RULE FOR A FUZZY PERCEPTRON

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论文类型:期刊论文

发表时间:2008-01-01

发表刊物:NEURAL NETWORK WORLD

收录刊物:EI、SCIE、Scopus

卷号:18

期号:6

页面范围:459-467

ISSN号:1210-0552

关键字:Fuzzy perception; learning algorithm; fuzzily separable; finite convergence

摘要:This paper considers a fuzzy perceptron that has the same topological structure as the conventional linear perceptron. A learning algorithm based on a fuzzy 6 rule is proposed for this fuzzy perceptron. The inner operations involved in the working process of this fuzzy perceptron are based on the max-min logical operations rather than conventional multiplication and summation, etc. The initial values of the network weights are fixed as 1. It is shown that each network weight is non-increasing in the training process and remains unchanged once it is less than 0.5. The learning algorithm has an advantage, as proved in this paper, that it converges in a finite number of steps if the training patterns are fuzzily separable. This result generalizes a corresponding classical result for conventional linear perceptrons. Some numerical experiments for the learning algorithm are provided to support our theoretical findings.