Approximation properties of Łukasiewicz Fuzzy Systems

Barnabas Bede, I. Rudas, Emil Daniel Schwab, Gabriela Schwab

Research output: Chapter in Book/Report/Conference proceedingConference contribution

1 Citation (Scopus)

Abstract

Approximation properties of fuzzy systems of Mamdani and Takagi Sugeno types were investigated in detail in literature and are widely used in various applications. Fuzzy logic systems based on a t-norm and a fuzzy implications are not studied in such a great detail, despite their strong theoretical motivation rooting back to classical logic. In the present paper we try to reduce this gap in the literature by investigating approximation properties of Fuzzy Systems based on a Łukasiewicz t-norm and a Łukasiewicz implication. We obtain general approximation theorems together with error estimates and smoothness properties. Also, we investigate in detail fuzzy systems of Łukasiewicz type, using them in function approximation example.

Original languageEnglish
Title of host publicationAnnual Conference of the North American Fuzzy Information Processing Society - NAFIPS
PublisherInstitute of Electrical and Electronics Engineers Inc.
Volume2015-September
ISBN (Print)9781467372473
DOIs
Publication statusPublished - Sep 29 2015
EventAnnual Meeting of the North American Fuzzy Information Processing Society, NAFIPS 2015 - Redmond, United States
Duration: Aug 17 2015Aug 19 2015

Other

OtherAnnual Meeting of the North American Fuzzy Information Processing Society, NAFIPS 2015
CountryUnited States
CityRedmond
Period8/17/158/19/15

Fingerprint

Approximation Property
Fuzzy systems
Fuzzy Systems
T-norm
Fuzzy Implication
Fuzzy Logic System
Approximation Theorem
Classical Logic
Function Approximation
Fuzzy logic
Error Estimates
Smoothness

Keywords

  • Control systems
  • Firing
  • Function approximation
  • Fuzzy logic
  • Fuzzy systems
  • Mechanical factors

ASJC Scopus subject areas

  • Computer Science(all)
  • Mathematics(all)

Cite this

Bede, B., Rudas, I., Schwab, E. D., & Schwab, G. (2015). Approximation properties of Łukasiewicz Fuzzy Systems. In Annual Conference of the North American Fuzzy Information Processing Society - NAFIPS (Vol. 2015-September). [7284188] Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/NAFIPS-WConSC.2015.7284188

Approximation properties of Łukasiewicz Fuzzy Systems. / Bede, Barnabas; Rudas, I.; Schwab, Emil Daniel; Schwab, Gabriela.

Annual Conference of the North American Fuzzy Information Processing Society - NAFIPS. Vol. 2015-September Institute of Electrical and Electronics Engineers Inc., 2015. 7284188.

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Bede, B, Rudas, I, Schwab, ED & Schwab, G 2015, Approximation properties of Łukasiewicz Fuzzy Systems. in Annual Conference of the North American Fuzzy Information Processing Society - NAFIPS. vol. 2015-September, 7284188, Institute of Electrical and Electronics Engineers Inc., Annual Meeting of the North American Fuzzy Information Processing Society, NAFIPS 2015, Redmond, United States, 8/17/15. https://doi.org/10.1109/NAFIPS-WConSC.2015.7284188
Bede B, Rudas I, Schwab ED, Schwab G. Approximation properties of Łukasiewicz Fuzzy Systems. In Annual Conference of the North American Fuzzy Information Processing Society - NAFIPS. Vol. 2015-September. Institute of Electrical and Electronics Engineers Inc. 2015. 7284188 https://doi.org/10.1109/NAFIPS-WConSC.2015.7284188
Bede, Barnabas ; Rudas, I. ; Schwab, Emil Daniel ; Schwab, Gabriela. / Approximation properties of Łukasiewicz Fuzzy Systems. Annual Conference of the North American Fuzzy Information Processing Society - NAFIPS. Vol. 2015-September Institute of Electrical and Electronics Engineers Inc., 2015.
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