Fuzzy Systems Are Universal Approximators for Random Dependencies: A Simplified Proof

Studies in Systems, Decision and Control - Decision Making under Constraints ◽

10.1007/978-3-030-40814-5_1 ◽

2020 ◽

pp. 1-5

Author(s):

Mahdokht Afravi ◽

Vladik Kreinovich

Keyword(s):

Fuzzy Systems ◽

Universal Approximators

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Interval type-2 Boolean fuzzy systems are universal approximators

2010 Annual Meeting of the North American Fuzzy Information Processing Society ◽

10.1109/nafips.2010.5548180 ◽

2010 ◽

Author(s):

Fei You ◽

Hao Ying

Keyword(s):

Fuzzy Systems ◽

Interval Type ◽

Universal Approximators

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General Takagi-Sugeno fuzzy systems are universal approximators

1998 IEEE International Conference on Fuzzy Systems Proceedings. IEEE World Congress on Computational Intelligence (Cat. No.98CH36228) ◽

10.1109/fuzzy.1998.687596 ◽

2002 ◽

Author(s):

H. Ying

Keyword(s):

Fuzzy Systems ◽

Takagi Sugeno ◽

Universal Approximators

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Fuzzy systems as universal approximators

[1992 Proceedings] IEEE International Conference on Fuzzy Systems ◽

10.1109/fuzzy.1992.258720 ◽

2003 ◽

Author(s):

B. Kosko

Keyword(s):

Fuzzy Systems ◽

Universal Approximators

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ARE FUZZY SYSTEMS UNIVERSAL APPROXIMATORS?

International Journal of General Systems ◽

10.1080/03081079908935238 ◽

1999 ◽

Vol 28 (2-3) ◽

pp. 259-282 ◽

Author(s):

ERICH PETER KLEMENT ◽

LASZLO T. KOCZY ◽

BERNHARD MOSER

Keyword(s):

Fuzzy Systems ◽

Universal Approximators

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A comparative study on sufficient conditions for Takagi-Sugeno fuzzy systems as universal approximators

IEEE Transactions on Fuzzy Systems ◽

10.1109/91.890337 ◽

2000 ◽

Vol 8 (6) ◽

pp. 773-780 ◽

Author(s):

Wen-Li Xu ◽

Nai-Yao Zhang ◽

Ke Zeng

Keyword(s):

Comparative Study ◽

Fuzzy Systems ◽

Sufficient Conditions ◽

Takagi Sugeno ◽

Universal Approximators

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Monotonic Fuzzy Systems As Universal Approximators For Monotonic Functions

Intelligent Automation & Soft Computing ◽

10.1080/10798587.2012.10643224 ◽

2012 ◽

Vol 18 (1) ◽

pp. 13-31 ◽

Author(s):

Jinwook Kim ◽

Jin-Myung Won ◽

Kyungmo Koo ◽

Jin S. Lee

Keyword(s):

Fuzzy Systems ◽

Monotonic Functions ◽

Universal Approximators

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Some necessary conditions for single-input single-output fuzzy systems as universal approximators

NAFIPS/IFIS/NASA '94. Proceedings of the First International Joint Conference of The North American Fuzzy Information Processing Society Biannual Conference. The Industrial Fuzzy Control and Intelligent Systems Conference, and the NASA Joint Technology Wo ◽

10.1109/ijcf.1994.375124 ◽

2002 ◽

Author(s):

Hao Ying ◽

Guanrong Chen

Keyword(s):

Fuzzy Systems ◽

Necessary Conditions ◽

Single Input Single Output ◽

Single Output ◽

Single Input ◽

Universal Approximators

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Fuzzy systems are universal approximators

[1992 Proceedings] IEEE International Conference on Fuzzy Systems ◽

10.1109/fuzzy.1992.258721 ◽

2003 ◽

Author(s):

L.-X. Wang

Keyword(s):

Fuzzy Systems ◽

Universal Approximators

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SISO Intuitionistic Fuzzy Systems: IF-${t}$ -Norm, IF-${R}$ -Implication, and Universal Approximators

IEEE Access ◽

10.1109/access.2019.2918169 ◽

2019 ◽

Vol 7 ◽

pp. 70265-70278 ◽

Author(s):

Jiansheng Li ◽

Zengtai Gong

Keyword(s):

Fuzzy Systems ◽

Intuitionistic Fuzzy ◽

Universal Approximators

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Comparison of necessary conditions for typical Takagi-Sugeno and Mamdani fuzzy systems as universal approximators

IEEE Transactions on Systems Man and Cybernetics - Part A Systems and Humans ◽

10.1109/3468.784177 ◽

1999 ◽

Vol 29 (5) ◽

pp. 508-514 ◽

Author(s):

Hao Ying ◽

Yongsheng Ding ◽

Shaokuan Li ◽

Shihuang Shao

Keyword(s):

Fuzzy Systems ◽

Necessary Conditions ◽

Takagi Sugeno ◽

Universal Approximators

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