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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Format: | Article |
Language: | zho |
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Zhejiang University Press
2016-05-01
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Series: | Zhejiang Daxue xuebao. Lixue ban |
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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. |
first_indexed | 2024-04-24T16:54:19Z |
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institution | Directory Open Access Journal |
issn | 1008-9497 |
language | zho |
last_indexed | 2024-04-24T16:54:19Z |
publishDate | 2016-05-01 |
publisher | Zhejiang University Press |
record_format | Article |
series | Zhejiang Daxue xuebao. Lixue ban |
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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