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Fuzzy Heyting Algebra

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Book cover 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))

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Abstract

In this paper, we introduce the concept of fuzzy Heyting algebra (FHA) as an extension of Heyting algebra. We also characterize fuzzy Heyting algebra using the properties of Heyting algebra(HA) and distributive fuzzy lattices. We, finally, state and prove some results on fuzzy Heyting algebra.

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References

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Author information

Authors and Affiliations

  1. Departement of Mathematics, Bahir Dar University, Bahir Dar, Ethiopia

    Berhanu Assaye Alaba

  2. Departement of Mathematics, Woldia University, Woldia, Ethiopia

    Derebew Nigussie Derso

Authors
  1. Berhanu Assaye Alaba
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  2. Derebew Nigussie Derso
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Corresponding author

Correspondence to Derebew Nigussie Derso .

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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Alaba, B.A., Derso, D.N. (2018). Fuzzy Heyting Algebra. 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_3

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  • DOI: https://doi.org/10.1007/978-3-319-66830-7_3

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-66829-1

  • Online ISBN: 978-3-319-66830-7

  • eBook Packages: EngineeringEngineering (R0)

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