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A CUSUM Control Chart for Fuzzy Quality Data

  • Chapter
Soft Methods for Integrated Uncertainty Modelling

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

Abstract

Based on the concept of fuzzy random variables, we propose an optimal representative value for fuzzy quality data by means of a combination of a random variable with a measure of fuzziness. Applying the classical Cumulative Sum (CUSUM) chart for these representative values, an univariate CUSUM control chart concerning LR-fuzzy data under independent observations is constructed.

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Author information

Authors and Affiliations

  1. School of Mathematics and Information Sciences, Guangzhou University, No. 230 Wai-Huan West Road, University Town, Panyu District, 510006, Guangzhou, P.R.China

    Dabuxilatu Wang

Authors
  1. Dabuxilatu Wang
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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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Wang, D. (2006). A CUSUM Control Chart for Fuzzy Quality Data. 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_42

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  • DOI: https://doi.org/10.1007/3-540-34777-1_42

  • 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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