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On States on Fuzzy MV-algebra

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Book cover Uncertainty and Imprecision in Decision Making and Decision Support: New Challenges, Solutions and Perspectives (IWIFSGN 2018)

Part of the book series: Advances in Intelligent Systems and Computing ((AISC,volume 1081))

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Abstract

Some MV-algebras generated by families of fuzzy sets are considered. On the fuzzy MV-algebras a representation theorem is presented as well as a theorem of an invariant state in the case that the basic set is a locally compact topological group.

Supported by Slovak Research and Development Agency under the contract No. APVV-0219-12.

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Author information

Authors and Affiliations

  1. Faculty of Natural Science, Matej Bel University, Banská Bystrica, Slovakia

    Alžbeta Michalíková & Beloslav Riečan

  2. Mathematical Institute, Slovak Academy of Sciences, Bratislava, Slovakia

    Alžbeta Michalíková & Beloslav Riečan

Authors
  1. Alžbeta Michalíková
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  2. Beloslav Riečan
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Corresponding author

Correspondence to Alžbeta Michalíková .

Editor information

Editors and Affiliations

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

    Krassimir T. Atanassov

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

    Vassia Atanassova

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

    Janusz Kacprzyk

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

    Andrzej Kaluszko

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

    Maciej Krawczak

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

    Jan W. Owsinski

  7. Intelligent Systems Laboratory, Faculty of Technical Sciences, Bourgas, Bulgaria

    Sotir Sotirov

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

    Evdokia Sotirova

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

    Eulalia Szmidt

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

    Slawomir Zadrozny

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Michalíková, A., Riečan, B. (2021). On States on Fuzzy MV-algebra. In: Atanassov, K., et al. Uncertainty and Imprecision in Decision Making and Decision Support: New Challenges, Solutions and Perspectives. IWIFSGN 2018. Advances in Intelligent Systems and Computing, vol 1081. Springer, Cham. https://doi.org/10.1007/978-3-030-47024-1_5

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