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:大连理工大学
学位:博士
所在单位:数学科学学院
电子邮箱:yuanxh@dlut.edu.cn
The probability distribution and fuzzy system based on bounded product implication
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论文类型:会议论文
发表时间:2010-01-01
收录刊物:EI、Scopus
卷号:2
页面范围:786-790
摘要:In this paper, a method of constructing joint probability density function and fuzzy system using non-singleton fuzzifier is proposed based on a set of input-output data. Firstly, we create fuzzy relations using bounded product implication operator. With the fuzzy relations, we get the joint probability density function of binary random variable. Secondly, the marginal density functions and numerical characteristics of bounded product distribution are discussed separately. Finally, the regression function is obtained based on the probability distribution. It is actually the center of gravity fuzzy system, which further reveals the probability sense of fuzzy systems with center of gravity method. Meanwhile, the sufficient condition for the fuzzy system as an universal approximator is given. ?2010 IEEE.