Journal of Theoretical
and Applied Mechanics

36, 2, pp. 493-512, Warsaw 1998

Fuzzy boundary element method in the analysis of uncertain systems

Jerzy Skrzypczyk, Tadeusz Burczyński
In the paper basic concepts of new methodology of the fuzzy boundary element method are presented. This article deals with fuzzy-set-valued mappings which are solutions of the fuzzy boundary integral equations. Exact fuzzy solutions of the fuzzy boundary integral equations are defined as well as conditional solutions. Computational fuzzy problems and applications are considered in details for boundary potential problems with fuzzy Dirichlet and Neumann type boundary conditions and fuzzy density source functions in a fuzzy domain.
Keywords: fuzzy singular integration; fuzzy boundary integral equations; fuzzy boundary element method; fuzzy arithmetical computations