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Algorithms for Trapezoidal Approximations of Fuzzy Numbers Preserving the Expected Interval

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Foundations of Reasoning under Uncertainty

Part of the book series: Studies in Fuzziness and Soft Computing ((STUDFUZZ,volume 249))

Abstract

Fuzzy number approximation by trapezoidal fuzzy numbers which preserves the expected interval is discussed. New algorithms for calculating the proper approximations are proposed. It is shown that the adequate approximation operator is chosen with respect both to the global spread of a fuzzy number and the size of possible asymmetry between the spread of the left-hand and right-hand part of a fuzzy number.

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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, Plac Politechniki 1, 00-661, Warsaw, Poland

    Przemysław Grzegorzewski

Authors
  1. Przemysław Grzegorzewski
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Editor information

Editors and Affiliations

  1. LIP6, Université Pierre et Marie Curie, 104 avenue du président Kennedy, 75016, Paris, France

    Bernadette Bouchon-Meunier

  2. European Centre for Soft Computing, Edificio Científico-Tecnológico., 3â Planta., C Gonzalo Gutiérrez Quirós S/N, 33600, Mieres, Asturias, Spain

    Luis Magdalena

  3. Computer Science Faculty, University of Málaga, Blv Louis Pasteur s/n, 29071, Málaga, Spain

    Manuel Ojeda-Aciego

  4. Computer Science Faculty, University of Granada, C/Periodista Daniel, Saucedo Aranda s/n, 18071, Granada, Spain

    José-Luis Verdegay

  5. Machine Intelligence Institute, Iona College, 10801, New Rochelle, NY, USA

    Ronald R. Yager

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Grzegorzewski, P. (2010). Algorithms for Trapezoidal Approximations of Fuzzy Numbers Preserving the Expected Interval. In: Bouchon-Meunier, B., Magdalena, L., Ojeda-Aciego, M., Verdegay, JL., Yager, R.R. (eds) Foundations of Reasoning under Uncertainty. Studies in Fuzziness and Soft Computing, vol 249. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-10728-3_5

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  • DOI: https://doi.org/10.1007/978-3-642-10728-3_5

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-10726-9

  • Online ISBN: 978-3-642-10728-3

  • eBook Packages: EngineeringEngineering (R0)

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