Application of Non-convex Fuzzy Variables to Fuzzy Structural Analysis
- 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
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.
KeywordsImprecise data Non-convex fuzzy variables Discretization Fuzzy structural analysis
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