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Proceedings of the Conference of the European Society for Fuzzy Logic and Technology

International Workshop on Intuitionistic Fuzzy Sets and Generalized Nets

EUSFLAT 2017, IWIFSGN 2017: Advances in Fuzzy Logic and Technology 2017 pp 658–669Cite as

Ordinal Sum of Fuzzy Implications Fulfilling Left Ordering Property

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Part of the book series: Advances in Intelligent Systems and Computing ((AISC,volume 641))

Abstract

In the article new methods of constructing of ordinal sum of fuzzy implications are proposed. The concepts are based both on a construction of ordinal sums of overlap functions and residual implication of ordinal sum of triangular norms. Moreover, preservation of some properties of the ordinal sums of fuzzy implications are examined.

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Acknowledgment

The work on this paper was partially supported by the Centre for Innovation and Transfer of Natural Sciences and Engineering Knowledge in Rzeszów, through Project Number RPPK.01.03.00-18-001/10.

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Authors and Affiliations

  1. Faculty of Mathematics and Natural Sciences, University of Rzeszów, Rzeszów, Poland

    Paweł Drygaś & Anna Król

Authors
  1. Paweł Drygaś
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  2. Anna Król
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Corresponding author

Correspondence to Paweł Drygaś .

Editor information

Editors and Affiliations

  1. Systems Research Institute, Polish Academy of Sciences, Warsaw, Poland

    Janusz Kacprzyk

  2. Systems Research Institute, Polish Academy of Sciences, Warsaw, Poland

    Eulalia Szmidt

  3. Systems Research Institute, Polish Academy of Sciences, Warsaw, Poland

    Sławomir Zadrożny

  4. Department of Bioinformatics and Mathematical Modelling, Institute of Biophysics and Biomedical Engineering, Bulgarian Academy of Sciences, Sofia, Bulgaria

    Krassimir T. Atanassov

  5. WIT - Warsaw School of Information Technology, Warsaw, Poland

    Maciej Krawczak

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Drygaś, P., Król, A. (2018). Ordinal Sum of Fuzzy Implications Fulfilling Left Ordering Property. In: Kacprzyk, J., Szmidt, E., Zadrożny, S., Atanassov, K., Krawczak, M. (eds) Advances in Fuzzy Logic and Technology 2017. EUSFLAT IWIFSGN 2017 2017. Advances in Intelligent Systems and Computing, vol 641. Springer, Cham. https://doi.org/10.1007/978-3-319-66830-7_58

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  • DOI: https://doi.org/10.1007/978-3-319-66830-7_58

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-66829-1

  • Online ISBN: 978-3-319-66830-7

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