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Application of Non-convex Fuzzy Variables to Fuzzy Structural Analysis

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Book cover Soft Methods for Handling Variability and Imprecision

Part of the book series: Advances in Soft Computing ((AINSC,volume 48))

Abstract

Data situation in engineering is usually characterized by uncertainty. Fuzzy set theory provides adequate modeling of specific uncertainty phenomena. In this paper a new approach for modeling and processing of imprecise data by means of non-convex fuzzy variables is presented. For numerical processing an enhanced discretization of non-convex fuzzy variables is introduced. Furthermore fuzzy structural analysis is enhanced in order to be applicable to non-convex fuzzy variables. Fuzzy structural analysis under consideration of non-convex fuzzy variables is demonstrated by way of a two bay steel structure.

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Author information

Authors and Affiliations

  1. Department of Civil Engineering, Technische Universität Dresden, Dresden, Germany

    Uwe Reuter

Authors
  1. Uwe Reuter
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Editor information

Editors and Affiliations

  1. Université Paul Sabatier, Toulouse, France

    Didier Dubois  & Henri Prade  & 

  2. Universidad de Oviedo, Spain

    M. Asunción Lubiano  & María Ángeles Gil  & 

  3. Polish Academy of Sciences, Warsaw, Poland

    Przemysław Grzegorzewski

  4. Polish Academy of Sciences,, Warsaw, Poland

    Olgierd Hryniewicz

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© 2008 Springer-Verlag Berlin Heidelberg

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Reuter, U. (2008). Application of Non-convex Fuzzy Variables to Fuzzy Structural Analysis. In: Dubois, D., Lubiano, M.A., Prade, H., Gil, M.Á., Grzegorzewski, P., Hryniewicz, O. (eds) Soft Methods for Handling Variability and Imprecision. Advances in Soft Computing, vol 48. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-85027-4_44

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  • DOI: https://doi.org/10.1007/978-3-540-85027-4_44

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-85026-7

  • Online ISBN: 978-3-540-85027-4

  • eBook Packages: EngineeringEngineering (R0)

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