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Some Remarks on an Order Induced by Uninorms

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Advances in Fuzzy Logic and Technology 2017 (EUSFLAT 2017, IWIFSGN 2017)

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

Abstract

Recently an order induced by t-norms, uninorms and nullnorms have been investigated. This paper is mainly devoted to defining and investigating the set of incomparable elements with respect to the order induced by a uninorm. Also, by defining such an order, an equivalence relation on the class of uninorms is defined and this equivalence is deeply investigated.

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Author information

Authors and Affiliations

  1. Department of Software Engineering, Faculty of Technology, Karadeniz Technical University, 61830, Trabzon, Turkey

    Emel Aşıcı

Authors
  1. Emel Aşıcı
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Correspondence to Emel Aşıcı .

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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Aşıcı, E. (2018). Some Remarks on an Order Induced by Uninorms. 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_7

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  • DOI: https://doi.org/10.1007/978-3-319-66830-7_7

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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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