Application of Non-convex Fuzzy Variables to Fuzzy Structural Analysis

  • Uwe Reuter
Conference paper

DOI: 10.1007/978-3-540-85027-4_44

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

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.

Keywords

Imprecise data Non-convex fuzzy variables Discretization Fuzzy structural analysis 

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Copyright information

© Springer-Verlag Berlin Heidelberg 2008

Authors and Affiliations

  • Uwe Reuter
    • 1
  1. 1.Department of Civil EngineeringTechnische Universität DresdenDresdenGermany

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