A New Fuzzy System Based on Rectangular Pyramid
A new fuzzy system is proposed in this paper. The novelty of the proposed system is mainly in the compound of the antecedents, which is based on the proposed rectangular pyramid membership function instead of t-norm. It is proved that the system is capable of approximating any continuous function of...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2015-01-01
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| Series: | The Scientific World Journal |
| Online Access: | http://dx.doi.org/10.1155/2015/682989 |
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| _version_ | 1832556158368350208 |
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| author | Mingzuo Jiang Xuehai Yuan Hongxing Li Jiaxia Wang |
| author_facet | Mingzuo Jiang Xuehai Yuan Hongxing Li Jiaxia Wang |
| author_sort | Mingzuo Jiang |
| collection | DOAJ |
| description | A new fuzzy system is proposed in this paper. The novelty of the proposed system is mainly in the compound of the antecedents, which is based on the proposed rectangular pyramid membership function instead of t-norm. It is proved that the system is capable of approximating any continuous function of two variables to arbitrary degree on a compact domain. Moreover, this paper provides one sufficient condition of approximating function so that the new fuzzy system can approximate any continuous function of two variables with bounded partial derivatives. Finally, simulation examples are given to show how the proposed fuzzy system can be effectively used for function approximation. |
| format | Article |
| id | doaj-art-bcbca9747ded4047ba22943b5ee96785 |
| institution | Kabale University |
| issn | 2356-6140 1537-744X |
| language | English |
| publishDate | 2015-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | The Scientific World Journal |
| spelling | doaj-art-bcbca9747ded4047ba22943b5ee967852025-02-03T05:46:13ZengWileyThe Scientific World Journal2356-61401537-744X2015-01-01201510.1155/2015/682989682989A New Fuzzy System Based on Rectangular PyramidMingzuo Jiang0Xuehai Yuan1Hongxing Li2Jiaxia Wang3Faculty of Electronic Information and Electrical Engineering, Dalian University of Technology, Dalian 116024, ChinaFaculty of Electronic Information and Electrical Engineering, Dalian University of Technology, Dalian 116024, ChinaFaculty of Electronic Information and Electrical Engineering, Dalian University of Technology, Dalian 116024, ChinaFaculty of Vehicle Engineering and Mechanics, Dalian University of Technology, Dalian 116024, ChinaA new fuzzy system is proposed in this paper. The novelty of the proposed system is mainly in the compound of the antecedents, which is based on the proposed rectangular pyramid membership function instead of t-norm. It is proved that the system is capable of approximating any continuous function of two variables to arbitrary degree on a compact domain. Moreover, this paper provides one sufficient condition of approximating function so that the new fuzzy system can approximate any continuous function of two variables with bounded partial derivatives. Finally, simulation examples are given to show how the proposed fuzzy system can be effectively used for function approximation.http://dx.doi.org/10.1155/2015/682989 |
| spellingShingle | Mingzuo Jiang Xuehai Yuan Hongxing Li Jiaxia Wang A New Fuzzy System Based on Rectangular Pyramid The Scientific World Journal |
| title | A New Fuzzy System Based on Rectangular Pyramid |
| title_full | A New Fuzzy System Based on Rectangular Pyramid |
| title_fullStr | A New Fuzzy System Based on Rectangular Pyramid |
| title_full_unstemmed | A New Fuzzy System Based on Rectangular Pyramid |
| title_short | A New Fuzzy System Based on Rectangular Pyramid |
| title_sort | new fuzzy system based on rectangular pyramid |
| url | http://dx.doi.org/10.1155/2015/682989 |
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