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Review of Fuzzification Functionals Dedicated to OFN

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Uncertainty and Imprecision in Decision Making and Decision Support - New Advances, Challenges, and Perspectives (IWIFSGN 2022, BOS/SOR 2022)

Part of the book series: Lecture Notes in Networks and Systems ((LNNS,volume 793))

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Abstract

Ordered fuzzy numbers are a very useful idea when we try to describe the real world in a natural human way. Terms such as “far or “near” are naturally understood by people. Properties of ordered fuzzy numbers make it possible to more accurately represent the natural human understanding of the world and convert this into a useful code understandable to computers. This article describes methods for fuzzification of real numbers to the model of ordered fuzzy numbers. The professional literature provides many order-sensitive functions for defuzzification of OFN numbers, but there are no fuzzification functions dedicated to OFN. The article puts forward theoretical backgrounds of ordered fuzzy numbers arithmetic and describes fuzzification functionals along with examples.

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Authors and Affiliations

  1. Kazimierz Wielki University, Bydgoszcz, Kujawsko-Pomorskie, Poland

    Dawid Ewald, Jacek M. Czerniak & Jan Baumgart

  2. General Tadeusz Kościuszko Military Academy of Land Forces in Wrocław, Wrocław, Poland

    Huber Zarzycki

Authors
  1. Dawid Ewald
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  2. Jacek M. Czerniak
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  3. Jan Baumgart
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  4. Huber Zarzycki
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Corresponding author

Correspondence to Dawid Ewald .

Editor information

Editors and Affiliations

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

    Krassimir T. Atanassov

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

    Vassia Atanassova

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

    Janusz Kacprzyk

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

    Andrzej Kałuszko

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

    Maciej Krawczak

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

    Jan W. Owsiński

  7. Faculty of Technical Sciences, Prof. Assen Zlatarov University, Burgas, Bulgaria

    Sotir S. Sotirov

  8. Intelligent Systems Laboratory, Prof. Assen Zlatarov University, Burgas, Bulgaria

    Evdokia Sotirova

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

    Eulalia Szmidt

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

    Sławomir Zadrożny

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Ewald, D., Czerniak, J.M., Baumgart, J., Zarzycki, H. (2023). Review of Fuzzification Functionals Dedicated to OFN. In: Atanassov, K.T., et al. Uncertainty and Imprecision in Decision Making and Decision Support - New Advances, Challenges, and Perspectives. IWIFSGN BOS/SOR 2022 2022. Lecture Notes in Networks and Systems, vol 793. Springer, Cham. https://doi.org/10.1007/978-3-031-45069-3_6

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