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Norm Approximation of Mamdani Fuzzy System to a Class of Integrable Functions

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成果类型:
期刊论文
作者:
Wang, Guijun;Wang, Hongzhi;Long, Zuqiang*
通讯作者:
Long, Zuqiang
作者机构:
[Wang, Guijun] Tianjin Normal Univ, Sch Math Sci, Tianjin 300387, Peoples R China.
[Wang, Hongzhi] Tonghua Normal Univ, Coll Math, Tonghua 134002, Jilin, Peoples R China.
[Long, Zuqiang] Hengyang Normal Univ, Coll Phys & Elect Engn, Hengyang 421008, Hunan, Peoples R China.
通讯机构:
[Long, Zuqiang] H
Hengyang Normal Univ, Coll Phys & Elect Engn, Hengyang 421008, Hunan, Peoples R China.
语种:
英文
关键词:
Functions;Piecewise linear techniques;Testing;Approximation;Fuzzy information;Integrable functions;Kp-norm;Logical reasoning;Mamdani fuzzy system;Piece-wise linear functions;Piecewise linear function;Subdivision number;Μ^ p-integrable function;Fuzzy systems
期刊:
International Journal of Fuzzy Systems
ISSN:
1562-2479
年:
2021
卷:
23
期:
3
页码:
833-848
基金类别:
This work has been supported by the National Natural Science Foundation of China (Grant No. 61374009). Research Project of Education Department of Hunan Province, China (Grant No. 17A031)
机构署名:
本校为通讯机构
院系归属:
物理与电子工程学院
摘要:
The core of fuzzy system is to bypass the establishment of a definite mathematical model to carry out logical reasoning and intelligent calculation for fuzzy information; its main method is to process data information and language information based on a set of IF-THEN rules. Although it does not depend on accurate mathematical model, it has the ability of logical reasoning, numerical calculation and non-linear function approximation. In this paper, the analytic expression of the piecewise linear function (PLF) is first introduced by the determi...

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