Deterministic methodology stabilizing with SVD and fuzzy inference for crack shapes on ECT by Laplace transform BEM

In this paper, the deterministic methodology stabilizing with singular value decomposition (SVD) and fuzzy inference is described to solve matrices from inverse problems. Since the stability of the matrices can be known by the condition number derived from the singular value, the regularization parameter or fuzzy inference can be utilized to stabilize them properly. The proposed method is applied to crack shape identification on an eddy current testing (ECT) and the effectiveness of it is discussed.