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)
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....
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| Format: | Article |
| Language: | zho |
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Zhejiang University Press
2017-07-01
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| Series: | Zhejiang Daxue xuebao. Lixue ban |
| Subjects: | |
| Online Access: | https://doi.org/10.3785/j.issn.1008-9497.2017.04.003 |
| _version_ | 1797235834198425600 |
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| author | WANGGuijun(王贵君) DUANChenxia(段晨霞) ZHANGDeli(张德利) |
| author_facet | WANGGuijun(王贵君) DUANChenxia(段晨霞) ZHANGDeli(张德利) |
| author_sort | WANGGuijun(王贵君) |
| collection | DOAJ |
| description | 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. |
| first_indexed | 2024-04-24T16:54:15Z |
| format | Article |
| id | doaj.art-a49e42e9d1af4fd19bda33d1450089df |
| institution | Directory Open Access Journal |
| issn | 1008-9497 |
| language | zho |
| last_indexed | 2024-04-24T16:54:15Z |
| publishDate | 2017-07-01 |
| publisher | Zhejiang University Press |
| record_format | Article |
| series | Zhejiang Daxue xuebao. Lixue ban |
| spelling | doaj.art-a49e42e9d1af4fd19bda33d1450089df2024-03-29T01:58:37ZzhoZhejiang University PressZhejiang Daxue xuebao. Lixue ban1008-94972017-07-0144439740210.3785/j.issn.1008-9497.2017.04.003Reduction 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)0https://orcid.org/0000-0002-2337-5951DUANChenxia(段晨霞)1ZHANGDeli(张德利)2https://orcid.org/0000-0002-2043-2797 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) 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) 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)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.https://doi.org/10.3785/j.issn.1008-9497.2017.04.003调控参数分层混合模糊系统规则数逼近性t-假设检验 |
| spellingShingle | WANGGuijun(王贵君) DUANChenxia(段晨霞) ZHANGDeli(张德利) 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) Zhejiang Daxue xuebao. Lixue ban 调控参数 分层混合模糊系统 规则数 逼近性 t-假设检验 |
| title | 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) |
| title_full | 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) |
| title_fullStr | 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) |
| title_full_unstemmed | 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) |
| title_short | 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) |
| title_sort | 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 |
| topic | 调控参数 分层混合模糊系统 规则数 逼近性 t-假设检验 |
| url | https://doi.org/10.3785/j.issn.1008-9497.2017.04.003 |
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