Optimizations of peak points and branch radius of nonlinear T-S fuzzy system based on triangular fuzzy numbers(基于三角形模糊数的非线性T-S模糊系统的峰值点和分量半径优化)

单值模糊器是将高维空间中一个实值点映射成该空间上的一个单值模糊集,在构造非线性T-S模糊系统时不仅可克服输入变量的噪声问题,而且能减少模糊推理机设计中的计算量.首先,基于分片线性函数和单值模糊器给出了非线性T-S模糊系统模型;并依据广义三角形的重心坐标公式,对等距剖分论域中的峰值点和分量半径等参数进行了优化;最后,通过模拟实例对系统进行了验证,得到优化后的非线性T-S模糊系统确实有更好的逼近效果....

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Main Authors: WANGHongzhi(王宏志), TAOYujie(陶玉杰), WANGGuijun(王贵君)
Format: Article
Language:zho
Published: Zhejiang University Press 2016-05-01
Series:Zhejiang Daxue xuebao. Lixue ban
Subjects:
Online Access:https://doi.org/10.3785/j.issn.1008-9497.2016.03.003
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author WANGHongzhi(王宏志)
TAOYujie(陶玉杰)
WANGGuijun(王贵君)
author_facet WANGHongzhi(王宏志)
TAOYujie(陶玉杰)
WANGGuijun(王贵君)
author_sort WANGHongzhi(王宏志)
collection DOAJ
description 单值模糊器是将高维空间中一个实值点映射成该空间上的一个单值模糊集,在构造非线性T-S模糊系统时不仅可克服输入变量的噪声问题,而且能减少模糊推理机设计中的计算量.首先,基于分片线性函数和单值模糊器给出了非线性T-S模糊系统模型;并依据广义三角形的重心坐标公式,对等距剖分论域中的峰值点和分量半径等参数进行了优化;最后,通过模拟实例对系统进行了验证,得到优化后的非线性T-S模糊系统确实有更好的逼近效果.
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spelling doaj.art-b0e8c182edd94eb1bb4e40731aee40ea2024-03-29T01:58:35ZzhoZhejiang University PressZhejiang Daxue xuebao. Lixue ban1008-94972016-05-0143326427010.3785/j.issn.1008-9497.2016.03.003Optimizations of peak points and branch radius of nonlinear T-S fuzzy system based on triangular fuzzy numbers(基于三角形模糊数的非线性T-S模糊系统的峰值点和分量半径优化)WANGHongzhi(王宏志)0https://orcid.org/0000-0002-5417-6859TAOYujie(陶玉杰)1WANGGuijun(王贵君)2https://orcid.org/0000-0002-2337-5951 1.School of Mathematics, Tonghua Normal University, Tonghua 134002, Jilin Province, China( 1.通化师范学院数学学院,吉林 通化 134002) 1.School of Mathematics, Tonghua Normal University, Tonghua 134002, Jilin Province, China( 1.通化师范学院数学学院,吉林 通化 134002) 2.School of Mathematics Sciences, Tianjin Normal University, Tianjin 300387, China( 2.天津师范大学数学科学学院,天津 300387)单值模糊器是将高维空间中一个实值点映射成该空间上的一个单值模糊集,在构造非线性T-S模糊系统时不仅可克服输入变量的噪声问题,而且能减少模糊推理机设计中的计算量.首先,基于分片线性函数和单值模糊器给出了非线性T-S模糊系统模型;并依据广义三角形的重心坐标公式,对等距剖分论域中的峰值点和分量半径等参数进行了优化;最后,通过模拟实例对系统进行了验证,得到优化后的非线性T-S模糊系统确实有更好的逼近效果.https://doi.org/10.3785/j.issn.1008-9497.2016.03.003分片线性函数单值模糊器非线性t-s模糊系统峰值点分量半径
spellingShingle WANGHongzhi(王宏志)
TAOYujie(陶玉杰)
WANGGuijun(王贵君)
Optimizations of peak points and branch radius of nonlinear T-S fuzzy system based on triangular fuzzy numbers(基于三角形模糊数的非线性T-S模糊系统的峰值点和分量半径优化)
Zhejiang Daxue xuebao. Lixue ban
分片线性函数
单值模糊器
非线性t-s模糊系统
峰值点
分量半径
title Optimizations of peak points and branch radius of nonlinear T-S fuzzy system based on triangular fuzzy numbers(基于三角形模糊数的非线性T-S模糊系统的峰值点和分量半径优化)
title_full Optimizations of peak points and branch radius of nonlinear T-S fuzzy system based on triangular fuzzy numbers(基于三角形模糊数的非线性T-S模糊系统的峰值点和分量半径优化)
title_fullStr Optimizations of peak points and branch radius of nonlinear T-S fuzzy system based on triangular fuzzy numbers(基于三角形模糊数的非线性T-S模糊系统的峰值点和分量半径优化)
title_full_unstemmed Optimizations of peak points and branch radius of nonlinear T-S fuzzy system based on triangular fuzzy numbers(基于三角形模糊数的非线性T-S模糊系统的峰值点和分量半径优化)
title_short Optimizations of peak points and branch radius of nonlinear T-S fuzzy system based on triangular fuzzy numbers(基于三角形模糊数的非线性T-S模糊系统的峰值点和分量半径优化)
title_sort optimizations of peak points and branch radius of nonlinear t s fuzzy system based on triangular fuzzy numbers 基于三角形模糊数的非线性t s模糊系统的峰值点和分量半径优化
topic 分片线性函数
单值模糊器
非线性t-s模糊系统
峰值点
分量半径
url https://doi.org/10.3785/j.issn.1008-9497.2016.03.003
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