Abstract
The following paper presents an application of the fuzzy Parametric Integral Equations System (PIES) for solving potential boundary problems in polygonal domains with uncertainly defined boundary geometry and boundary conditions. The proposed method is based on the PIES and ordered fuzzy numbers. The boundary geometry is created using a small number of control points and modelled by parametric linear functions. Neither the boundary nor the domain discretization is required to process the algorithm.
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Zieniuk, E., Kuzelewski, A. (2005). Fuzzy Parametric Integral Equations System in modelling of polygonal potential boundary problems described by the Laplace equation. In: Saeed, K., Pejaś, J. (eds) Information Processing and Security Systems. Springer, Boston, MA. https://doi.org/10.1007/0-387-26325-X_30
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DOI: https://doi.org/10.1007/0-387-26325-X_30
Publisher Name: Springer, Boston, MA
Print ISBN: 978-0-387-25091-5
Online ISBN: 978-0-387-26325-0
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