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Chi-Square Test for Homogeneity with Fuzzy Data

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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 opinions are very common in surveys performed by social sciences. A fuzzy multinomial distribution for modeling such opinions is proposed. Next, a method for constructing a generalized version of the chi-square test of homogeneity which allows fuzzy data is proposed.

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References

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Author information

Authors and Affiliations

  1. Systems Research Institute, Polish Academy of Sciences, Newelska 6, 01-447, Warsaw, Poland

    Przemysław Grzegorzewski

  2. Faculty of Mathematics and Information Science, Warsaw University of Technology, Koszykowa 75, 00-662, Warsaw, Poland

    Przemysław Grzegorzewski

  3. Institute of Computer Science, Polish Academy of Sciences, Jana Kazimierza 5, 01-248, Warsaw, Poland

    Hubert Szymanowski

Authors
  1. Przemysław Grzegorzewski
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  2. Hubert Szymanowski
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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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Grzegorzewski, P., Szymanowski, H. (2015). Chi-Square Test for Homogeneity with Fuzzy Data. 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_18

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  • DOI: https://doi.org/10.1007/978-3-319-10765-3_18

  • 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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