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About Fisher-Tippett-Gnedenko Theorem for Intuitionistic Fuzzy Events

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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

In the paper the space of observables with respect to a family of the intuitionistic fuzzy events is considered. We proved the modification of the Fisher-Tippet-Gnedenko theorem for sequence of independent intuitionistic fuzzy observables. It is the theorem of part of statistic, which is called the extreme value theory.

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References

  1. Atanassov, K.T.: Intuitionistic Fuzzy Sets: Theory and Applications. Studies in Fuzziness and Soft Computing. Physica-Verlag, Heidelberg (1999)

    Book  MATH  Google Scholar 

  2. Atanassov, K.T.: On Intuitionistic Fuzzy Sets. Springer, Heidelberg (2012)

    Book  MATH  Google Scholar 

  3. Coles, S.: An Introduction to Statistical Modeling of Extreme Values. Springer, New York (2001)

    Book  MATH  Google Scholar 

  4. Embrechts, P., Kluppelberg, C., Mikosch, T.: Modelling Extremal Events: For Insurance and Finance, pp. 152–180. Springer (1997). ISSN 0172–4568

    Google Scholar 

  5. Gumbel, E.J.: Statistics of Extremes. Columbia University Press, New York (1958). ISBN 0-486-43604-7

    MATH  Google Scholar 

  6. Haan, L., Ferreira, A.: Extreme Value Theory: An Introduction. Springer, New York (2006)

    Book  MATH  Google Scholar 

  7. Juhás, M.: Statistical models of extreme values. Ph.D. thesis, Faculty of Natural Sciences, P. J. Šafárika University, Košice, 72 pages (2013)

    Google Scholar 

  8. Lendelová, K.: Convergence of IF-observables. In: Issues in the Representation and Processing of Uncertain and Imprecise Information - Fuzzy Sets, Intuitionistic Fuzzy Sets, Generalized nets, and Related Topics, pp. 232–240 (2005)

    Google Scholar 

  9. Lendelová, K.: Conditional IF-probability. In: Advances in Soft Computing: Soft Methods for Integrated Uncertainty Modelling, pp. 275–283 (2006)

    Google Scholar 

  10. Riečan, B.: On a problem of Radko Mesiar: general form of IF-probabilities. Fuzzy Sets Syst. 152, 1485–1490 (2006)

    MathSciNet  MATH  Google Scholar 

  11. Riečan, B.: On the probability and random variables on IF events. In: Ruan, D., et al. (eds.) Proceedings of 7th FLINS Conference on Applied Artifical Intelligence, Genova, pp. 138–145 (2006)

    Google Scholar 

  12. Riečan, B.: Analysis of fuzzy logic models. In: Koleshko, V. (ed.) Intelligent Systems, INTECH, pp. 219–244 (2012)

    Google Scholar 

  13. Riečan, B., Neubrunn, T.: Integral, Measure and Ordering. Kluwer, Dordrecht (1997)

    MATH  Google Scholar 

  14. Zadeh, L.A.: Fuzzy sets. Inf. Control 8, 338–358 (1965)

    Article  MATH  Google Scholar 

  15. Zadeh, L.A.: Probability measures on fuzzy sets. J. Math. Anal. Appl. 23, 421–427 (1968)

    Article  MathSciNet  MATH  Google Scholar 

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Author information

Authors and Affiliations

  1. Mathematical Institute, Slovak Academy of Sciences, Štefánikova 49, 814 73, Bratislava, Slovakia

    Renáta Bartková & Katarína Čunderlíková

Authors
  1. Renáta Bartková
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  2. Katarína Čunderlíková
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Corresponding author

Correspondence to Katarína Čunderlíková .

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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Bartková, R., Čunderlíková, K. (2018). About Fisher-Tippett-Gnedenko Theorem for Intuitionistic Fuzzy Events. 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_12

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  • DOI: https://doi.org/10.1007/978-3-319-66830-7_12

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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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