Towards real-time Łukasiewicz fuzzy systems

Barnabas Bede, I. Rudas

Research output: Chapter in Book/Report/Conference proceedingChapter

Abstract

Łukasiewicz fuzzy systems are fuzzy systems based on Łukasiewicz implication and Łukasiewicz t-norm and t-conorm as fuzzy operations. They are deeply rooted in classical logic while being fuzzy systems, so they establish a connection between classical logic and fuzzy logic. Łukasiewicz fuzzy systems with Center of Gravity defuzzification have been shown to have good approximation properties, however Center of Gravity defuzzification makes them to be computationally not very efficient. In the present paper we develop a real-time Łukasiewicz fuzzy system, using the Mean of Maxima defuzzification. This defuzzification will be directly computable for Łukasiewicz systems with certain properties. We investigate approximation properties of such systems and we obtain a generalization of a previous universal approximation result.

Original languageEnglish
Title of host publicationStudies in Fuzziness and Soft Computing
PublisherSpringer Verlag
Pages85-98
Number of pages14
DOIs
Publication statusPublished - Jan 1 2018

Publication series

NameStudies in Fuzziness and Soft Computing
Volume361
ISSN (Print)1434-9922

Fingerprint

Fuzzy systems
Defuzzification
Fuzzy Systems
Real-time
Centre of gravity
Classical Logic
Approximation Property
Gravitation
Universal Approximation
T-conorms
T-norm
Fuzzy Logic
Fuzzy logic

ASJC Scopus subject areas

  • Computer Science (miscellaneous)
  • Computational Mathematics

Cite this

Bede, B., & Rudas, I. (2018). Towards real-time Łukasiewicz fuzzy systems. In Studies in Fuzziness and Soft Computing (pp. 85-98). (Studies in Fuzziness and Soft Computing; Vol. 361). Springer Verlag. https://doi.org/10.1007/978-3-319-75408-6_8

Towards real-time Łukasiewicz fuzzy systems. / Bede, Barnabas; Rudas, I.

Studies in Fuzziness and Soft Computing. Springer Verlag, 2018. p. 85-98 (Studies in Fuzziness and Soft Computing; Vol. 361).

Research output: Chapter in Book/Report/Conference proceedingChapter

Bede, B & Rudas, I 2018, Towards real-time Łukasiewicz fuzzy systems. in Studies in Fuzziness and Soft Computing. Studies in Fuzziness and Soft Computing, vol. 361, Springer Verlag, pp. 85-98. https://doi.org/10.1007/978-3-319-75408-6_8
Bede B, Rudas I. Towards real-time Łukasiewicz fuzzy systems. In Studies in Fuzziness and Soft Computing. Springer Verlag. 2018. p. 85-98. (Studies in Fuzziness and Soft Computing). https://doi.org/10.1007/978-3-319-75408-6_8
Bede, Barnabas ; Rudas, I. / Towards real-time Łukasiewicz fuzzy systems. Studies in Fuzziness and Soft Computing. Springer Verlag, 2018. pp. 85-98 (Studies in Fuzziness and Soft Computing).
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