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On Neyman-Pearson Lemma for Crisp, Random and Fuzzy Hypotheses

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Book cover Soft Methods for Integrated Uncertainty Modelling

Part of the book series: Advances in Soft Computing ((AINSC,volume 37))

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Abstract

We show that the best test for fuzzy hypotheses in the Bayesian framework is equivalent to Neyman-Pearson lemma in the classical statistics.

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Author information

Authors and Affiliations

  1. Dept. of Stat., Faculty of Math. and Computer Sciences, Amirkabir Univ. of Thec. (Tehran Polytechnic) and Statistical Research Center, FRANCE

    Adel Mohammadpour & Ali Mohammad-Djafari

Authors
  1. Adel Mohammadpour
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  2. Ali Mohammad-Djafari
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Editor information

Editors and Affiliations

  1. AI Group Department of Engineering Mathematics, University of Bristol, BS8 1TR, Bristol, UK

    Jonathan Lawry

  2. Statistics and Operations Research, Rey Juan Carlos University, C-Tulip˙n s/n MÛstoles28933, Spain

    Enrique Miranda

  3. Intelligent Systems Group Department of Electronics & Computer Science, University of Santiago de Compostela Santiago de Compostela, Spain

    Alberto Bugarin

  4. Department of Applied Mathematics, Beijing University of Technology, 100022, Beijing, P.R. China

    Shoumei Li

  5. Dpto. Estadistica e I.O y D.M. Calle Calvo Sotelo s/n, Universiad de Oviedo Fac. Ciencias, 33071, Oviedo, Spain

    Maria Angeles Gil

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

    Przemys aw Grzegorzewski

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

    Olgierd Hyrniewicz

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© 2006 Springer

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Mohammadpour, A., Mohammad-Djafari, A. (2006). On Neyman-Pearson Lemma for Crisp, Random and Fuzzy Hypotheses. In: Lawry, J., et al. Soft Methods for Integrated Uncertainty Modelling. Advances in Soft Computing, vol 37. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-34777-1_9

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  • DOI: https://doi.org/10.1007/3-540-34777-1_9

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-34776-7

  • Online ISBN: 978-3-540-34777-4

  • eBook Packages: EngineeringEngineering (R0)

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