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Two Constructions of Ordinal Sums of Fuzzy Implications

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Uncertainty and Imprecision in Decision Making and Decision Support: Cross-Fertilization, New Models and Applications (IWIFSGN 2016)

Part of the book series: Advances in Intelligent Systems and Computing ((AISC,volume 559))

Abstract

This contribution deals with ordinal sums of fuzzy implications. New methods of construction as generalizations of the once previously examined are proposed. The generalizations allow consider summands on intervals of different type: open, closed, or half-open. Sufficient properties of fuzzy implications as summands for obtaining a fuzzy implication as a result are presented.

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References

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Acknowledgment

This work 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. Interdisciplinary Centre for Computational Modelling, University of Rzeszów, Pigonia 1, 35-310, 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. Department of Bioinformatics and Mathematical Modelling, Bulgarian Academy of Sciences, Sofia, Bulgaria

    Krassimir T. Atanassov

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

    Janusz Kacprzyk

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

    Andrzej Kałuszko

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

    Maciej Krawczak

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

    Jan Owsiński

  6. Faculty of Technical Sciences, “Prof. Assen Zlatarov” University, Bourgas, Bulgaria

    Sotir Sotirov

  7. Faculty of Technical Sciences, “Prof. Assen Zlatarov” University, Bourgas, Bulgaria

    Evdokia Sotirova

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

    Eulalia Szmidt

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

    Sławomir Zadrożny

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Drygaś, P., Król, A. (2018). Two Constructions of Ordinal Sums of Fuzzy Implications. In: Atanassov, K., et al. Uncertainty and Imprecision in Decision Making and Decision Support: Cross-Fertilization, New Models and Applications. IWIFSGN 2016. Advances in Intelligent Systems and Computing, vol 559. Springer, Cham. https://doi.org/10.1007/978-3-319-65545-1_10

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  • DOI: https://doi.org/10.1007/978-3-319-65545-1_10

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-65544-4

  • Online ISBN: 978-3-319-65545-1

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