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Comparison of Fuzzy and Crisp Random Variables by Monte Carlo Simulations

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Strengthening Links Between Data Analysis and Soft Computing

Part of the book series: Advances in Intelligent Systems and Computing ((AISC,volume 315))

Abstract

Fuzzy random variables are used when randomness is merged with imprecision described by fuzzy sets. When we need to use computer simulations for the comparison of a classical probabilistic approach with that based on fuzzy random variables we need to establish the method for the generation of crisp random variables compatible with existing fuzzy data. In the paper we consider this problem, and propose some practical solutions.

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References

  1. Colubi, A., Fernandez-Garcia, C., Gil, M.A.: An Empirical Approach to Statistical/Probabilistic Studies With Fuzzy Experimental Data. IEEE Transactions on Fuzzy Systems 10, 384–390 (2002)

    Article  Google Scholar 

  2. Dubois, D., Prade, H.: Possibility Theory. Plenum Press, New York (1988)

    Book  MATH  Google Scholar 

  3. Gonzalez-Rodriguez, G., Colubi, A., Trutschnig, W.: Simulation of fuzzy random variables. Information Sciences 179, 642–653 (2008)

    Article  MathSciNet  Google Scholar 

  4. Grzegorzewski, P., Hryniewicz, O.: Computing with words and life data. Int. Journ. of Appl. Math. & Comp. Science 12, 337–345 (2002)

    MATH  Google Scholar 

  5. Kruse, R., Meyer, K.D.: Statistics with Vague Data. Riedel, Dordrecht (1987)

    Book  MATH  Google Scholar 

  6. Kwakernaak, H.: Fuzzy random variables, part I: definitions and theorems. Information Sciences 15, 1–15 (1978)

    Article  MathSciNet  MATH  Google Scholar 

  7. Puri, M.L., Ralescu, D.A.: Fuzzy random variables. Journ. of Math. Anal. and Appl. 114, 409–422 (1986)

    Article  MathSciNet  MATH  Google Scholar 

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Author information

Authors and Affiliations

  1. Systems Research Institute, Newelska 6, 01-447, Warszawa, Poland

    Olgierd Hryniewicz

Authors
  1. Olgierd Hryniewicz
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Correspondence to Olgierd Hryniewicz .

Editor information

Editors and Affiliations

  1. Polish Academy of Sciences, Faculty of Mathematics and Information Sciences, Systems Research Institute and Warsaw University of Technology, Warsaw, Poland

    Przemyslaw Grzegorzewski

  2. Polish Academy of Sciences, Faculty of Mathematics and Information Sciences, Systems Research Institute and Warsaw University of Technology, Warsaw, Poland

    Marek Gagolewski

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

    Olgierd Hryniewicz

  4. Departamento de Estadistica e I.O. y D.M., University of Oviedo, Oviedo, Spain

    María Ángeles Gil

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Hryniewicz, O. (2015). Comparison of Fuzzy and Crisp Random Variables by Monte Carlo Simulations. In: Grzegorzewski, P., Gagolewski, M., Hryniewicz, O., Gil, M. (eds) Strengthening Links Between Data Analysis and Soft Computing. Advances in Intelligent Systems and Computing, vol 315. Springer, Cham. https://doi.org/10.1007/978-3-319-10765-3_2

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  • DOI: https://doi.org/10.1007/978-3-319-10765-3_2

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-10764-6

  • Online ISBN: 978-3-319-10765-3

  • eBook Packages: EngineeringEngineering (R0)

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