Reduction of the number of rules of high-dimensional hybrid fuzzy system and its hypothesis test of the approximation(高维分层混合模糊系统的规则缩减及逼近性假设检验)

WANGGuijun(王贵君); DUANChenxia(段晨霞); ZHANGDeli(张德利)

doi:10.3785/j.issn.1008-9497.2017.04.003

Zhejiang Daxue xuebao. Lixue ban (Jul 2017)

Reduction of the number of rules of high-dimensional hybrid fuzzy system and its hypothesis test of the approximation(高维分层混合模糊系统的规则缩减及逼近性假设检验)

WANGGuijun(王贵君),
DUANChenxia(段晨霞),
ZHANGDeli(张德利)

Affiliations

WANGGuijun(王贵君): ORCiD; 1.School of Mathematics Science, Tianjin Normal University, Tianjin 300387, China( 1.天津师范大学数学科学学院，天津 300387)
DUANChenxia(段晨霞): 2.Xianyang Road Primary School, Nankai District, Tianjin 300110, China( 2.天津市南开区咸阳路小学，天津 300110)
ZHANGDeli(张德利): ORCiD; 3.Information Center, Jilin Provincial Institute of Education, Changchun 130022 , China( 3.吉林省教育学院信息中心，吉林长春 130022)

DOI: https://doi.org/10.3785/j.issn.1008-9497.2017.04.003
Journal volume & issue: Vol. 44, no. 4
pp. 397 – 402

Abstract

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混合模糊系统，即通过调控参数将Mamdani和T-S合并建立的一种新型系统模型.混合模糊系统不仅能保持各自模糊系统的优良特性，还可大大缩减系统内部的模糊规则总数.为避免因增加输入变量引发高维混合模糊系统规则爆炸，基于混合模糊系统的分层表示，给出了分层混合模糊系统对连续函数的逼近算法.对比发现，高维分层混合模糊系统的规则总数可被大幅度削减.此外，通过实例模拟了一个三维混合模糊系统分层后的实际输出，并用统计学的t-假设检验方法检验了该分层混合模糊系统的逼近性能.

Published in Zhejiang Daxue xuebao. Lixue ban

ISSN: 1008-9497 (Print)
Publisher: Zhejiang University Press
Country of publisher: China
LCC subjects: Science: Mathematics: Instruments and machines: Electronic computers. Computer science; Science: Physics
Website: https://www.zjujournals.com/sci/EN/1008-9497/home.shtml

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