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Triangular Expanding, A New Defuzzification Method on Ordered Fuzzy Numbers

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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

At the beginning of the article the authors describe a new trend in the artificial intelligence, associated with fuzzy sets and the accompanying derivative solutions which may include L-R numbers by Dubois and Prade. On their basis the redefined theory has started a new trend in the form of ordered fuzzy numbers (OFN). Main features of ordered fuzzy numbers further in this article. Due to the nature of this article, which is related to the proposed defuzzyfication method, the authors mentions a fuzzy controller model and in particular the defuzzyfication process. Criteria used for conventional solutions of fuzzy numbers and ordered fuzzy numbers were also presented. In the further part of the article the defuzzyfication method called Triangular Expanding was presented. The author compared it to the Geometrical Mean method introduced earlier, which inspired his solution. Results of comparison with other methods such as FOM, LOM, COG were presented in the paper as well. The summary including conclusions and directions of further research were provided at the end.

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Author information

Authors and Affiliations

  1. Institute of Technology, Casimir the Great University in Bydgoszcz, ul. Chodkiewicza 30, 85-064, Bydgoszcz, Poland

    Wojciech T. Dobrosielski & Jacek M. Czerniak

  2. Institute of Fundamental Technological Research, Polish Academy of Sciences Warsaw, ul. Pawinskiego 5B, 02-106, Warsaw, Poland

    Janusz Szczepański

  3. Wroclaw School of Information Technology, ul. Wejherowska 28, 54-239, Wroclaw, Poland

    Hubert Zarzycki

Authors
  1. Wojciech T. Dobrosielski
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  2. Jacek M. Czerniak
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  3. Janusz Szczepański
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  4. Hubert Zarzycki
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Corresponding author

Correspondence to Wojciech T. Dobrosielski .

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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Dobrosielski, W.T., Czerniak, J.M., Szczepański, J., Zarzycki, H. (2018). Triangular Expanding, A New Defuzzification Method on Ordered Fuzzy Numbers. 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_54

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  • DOI: https://doi.org/10.1007/978-3-319-66830-7_54

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