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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
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.