Construction and algorithm of fuzzy systems based on Bernstein polynomials as a rule's consequence(以Bernstein多项式为规则后件的模糊系统构造及算法)

Construction and algorithm of fuzzy systems based on Bernstein polynomials as a rule's consequence(以Bernstein多项式为规则后件的模糊系统构造及算法)

以多元多项式为规则后件的模糊系统是区别于Mamdani型和T-S型的一类模糊系统，在模糊控制器及其应用中具有重要的理论价值.首先，以Bernstein多项式为规则后件建立了一类新的多输入单输出模糊系统，进而证明了该模糊系统对n维单位正方体上的连续函数具有逼近性.其次，利用随机剖分数所确定的Bernstein多项式给出了这类模糊系统的输出算法，并通过实例说明该算法是有效的....

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Main Authors: ZHOUJie(周洁), WANGGuijun(王贵君)
Format: Article
Language:zho
Published: Zhejiang University Press 2018-07-01
Series:Zhejiang Daxue xuebao. Lixue ban
Subjects:
bernstein多项式
模糊规则
模糊系统
随机剖分数
输出算法
Online Access:https://doi.org/10.3785/j.issn.1008-9497.2018.04.002
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author ZHOUJie(周洁)
WANGGuijun(王贵君)
author_facet ZHOUJie(周洁)
WANGGuijun(王贵君)
author_sort ZHOUJie(周洁)
collection DOAJ
description 以多元多项式为规则后件的模糊系统是区别于Mamdani型和T-S型的一类模糊系统，在模糊控制器及其应用中具有重要的理论价值.首先，以Bernstein多项式为规则后件建立了一类新的多输入单输出模糊系统，进而证明了该模糊系统对n维单位正方体上的连续函数具有逼近性.其次，利用随机剖分数所确定的Bernstein多项式给出了这类模糊系统的输出算法，并通过实例说明该算法是有效的.
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spelling doaj.art-8988375ee6904ed4bd8533b2f6107a7e2024-03-29T01:58:38ZzhoZhejiang University PressZhejiang Daxue xuebao. Lixue ban1008-94972018-07-0145439439910.3785/j.issn.1008-9497.2018.04.002Construction and algorithm of fuzzy systems based on Bernstein polynomials as a rule's consequence(以Bernstein多项式为规则后件的模糊系统构造及算法)ZHOUJie(周洁)0https://orcid.org/0000-0001-5376-7350WANGGuijun(王贵君)1https://orcid.org/0000-0002-2337-5951School of Mathematical Science, Tianjin Normal University, Tianjin 300387, China(天津师范大学数学科学学院，天津 300387)School of Mathematical Science, Tianjin Normal University, Tianjin 300387, China(天津师范大学数学科学学院，天津 300387)以多元多项式为规则后件的模糊系统是区别于Mamdani型和T-S型的一类模糊系统，在模糊控制器及其应用中具有重要的理论价值.首先，以Bernstein多项式为规则后件建立了一类新的多输入单输出模糊系统，进而证明了该模糊系统对n维单位正方体上的连续函数具有逼近性.其次，利用随机剖分数所确定的Bernstein多项式给出了这类模糊系统的输出算法，并通过实例说明该算法是有效的.https://doi.org/10.3785/j.issn.1008-9497.2018.04.002bernstein多项式模糊规则模糊系统随机剖分数输出算法
spellingShingle ZHOUJie(周洁)
WANGGuijun(王贵君)
Construction and algorithm of fuzzy systems based on Bernstein polynomials as a rule's consequence(以Bernstein多项式为规则后件的模糊系统构造及算法)
Zhejiang Daxue xuebao. Lixue ban
bernstein多项式
模糊规则
模糊系统
随机剖分数
输出算法
title Construction and algorithm of fuzzy systems based on Bernstein polynomials as a rule's consequence(以Bernstein多项式为规则后件的模糊系统构造及算法)
title_full Construction and algorithm of fuzzy systems based on Bernstein polynomials as a rule's consequence(以Bernstein多项式为规则后件的模糊系统构造及算法)
title_fullStr Construction and algorithm of fuzzy systems based on Bernstein polynomials as a rule's consequence(以Bernstein多项式为规则后件的模糊系统构造及算法)
title_full_unstemmed Construction and algorithm of fuzzy systems based on Bernstein polynomials as a rule's consequence(以Bernstein多项式为规则后件的模糊系统构造及算法)
title_short Construction and algorithm of fuzzy systems based on Bernstein polynomials as a rule's consequence(以Bernstein多项式为规则后件的模糊系统构造及算法)
title_sort construction and algorithm of fuzzy systems based on bernstein polynomials as a rule s consequence 以bernstein多项式为规则后件的模糊系统构造及算法
topic bernstein多项式
模糊规则
模糊系统
随机剖分数
输出算法
url https://doi.org/10.3785/j.issn.1008-9497.2018.04.002
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AT wangguijunwángguìjūn constructionandalgorithmoffuzzysystemsbasedonbernsteinpolynomialsasarulesconsequenceyǐbernsteinduōxiàngshìwèiguīzéhòujiàndemóhúxìtǒnggòuzàojísuànfǎ

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