Cascaded centralized TSK fuzzy system: Universal approximator and high interpretation

Shitong Wang; Fu Lai Korris Chung; Shen HongBin; Hu Dewen

doi:10.1016/j.asoc.2004.03.014

Cascaded centralized TSK fuzzy system: Universal approximator and high interpretation

Shitong Wang, Fu Lai Korris Chung, Shen HongBin, Hu Dewen

Research output: Journal article publication › Journal article › Academic research › peer-review

38 Citations (Scopus)

Abstract

When applying fuzzy systems for data analysis, their approximation and interpretation capabilities are two important aspects. Cascaded fuzzy system (CFS) is a new special class of hierarchical fuzzy systems in architectures proposed by Duan and Chung [IEEE Trans. Fuzzy Syst. 9 (2) (2001) 293] but its universal approximation capability is still not proved. When CFS is utilized in fuzzy data analysis/modeling, it seems very difficult to give a reasonable interpretation for intermediate variables and the corresponding fuzzy rules. A new cascaded centralized TSK fuzzy system (CCTSKFS) is presented in this paper, whose universal approximation capability is proved in detail, and what's more, we can interpret CCTSKFS more rationally. Finally, our experimental results demonstrate that CCTSKFS outperforms the classical cascaded TSK fuzzy system (CTSKFS) in approximation capability and robustness.

Original language	English
Pages (from-to)	131-145
Number of pages	15
Journal	Applied Soft Computing Journal
Volume	5
Issue number	2
DOIs	https://doi.org/10.1016/j.asoc.2004.03.014
Publication status	Published - 1 Jan 2005

Keywords

Fuzzy system
Interpretation
Universal approximation

ASJC Scopus subject areas

Software
Computer Science Applications
Artificial Intelligence

More information

10.1016/j.asoc.2004.03.014

Cite this

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abstract = "When applying fuzzy systems for data analysis, their approximation and interpretation capabilities are two important aspects. Cascaded fuzzy system (CFS) is a new special class of hierarchical fuzzy systems in architectures proposed by Duan and Chung [IEEE Trans. Fuzzy Syst. 9 (2) (2001) 293] but its universal approximation capability is still not proved. When CFS is utilized in fuzzy data analysis/modeling, it seems very difficult to give a reasonable interpretation for intermediate variables and the corresponding fuzzy rules. A new cascaded centralized TSK fuzzy system (CCTSKFS) is presented in this paper, whose universal approximation capability is proved in detail, and what's more, we can interpret CCTSKFS more rationally. Finally, our experimental results demonstrate that CCTSKFS outperforms the classical cascaded TSK fuzzy system (CTSKFS) in approximation capability and robustness.",

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AU - Wang, Shitong

AU - Chung, Fu Lai Korris

AU - HongBin, Shen

AU - Dewen, Hu

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AB - When applying fuzzy systems for data analysis, their approximation and interpretation capabilities are two important aspects. Cascaded fuzzy system (CFS) is a new special class of hierarchical fuzzy systems in architectures proposed by Duan and Chung [IEEE Trans. Fuzzy Syst. 9 (2) (2001) 293] but its universal approximation capability is still not proved. When CFS is utilized in fuzzy data analysis/modeling, it seems very difficult to give a reasonable interpretation for intermediate variables and the corresponding fuzzy rules. A new cascaded centralized TSK fuzzy system (CCTSKFS) is presented in this paper, whose universal approximation capability is proved in detail, and what's more, we can interpret CCTSKFS more rationally. Finally, our experimental results demonstrate that CCTSKFS outperforms the classical cascaded TSK fuzzy system (CTSKFS) in approximation capability and robustness.

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KW - Universal approximation

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Cascaded centralized TSK fuzzy system: Universal approximator and high interpretation

Abstract

Keywords

ASJC Scopus subject areas

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