Chapter 10: Fuzzy eigenvalue problems of structural dynamics using ANN
S.K. Jeswal; Snehashish Chakraverty Department of Mathematics, National Institute of Technology Rourkela, Rourkela, Odisha, India
Abstract
Eigenvalue problems with uncertainty (viz., fuzzy) may transform these into fuzzy eigenvalue problems. An artificial neural network (ANN)-based approach has been used in this chapter to handle the titled problem. The entries in the fuzzy eigenvalue problem (FEP) have been considered as a triangular fuzzy number (TFN). The FEP has been converted to an interval form using a single parametric form. In this regard, two example problems, viz., a numerical and a two-story frame structure, have been investigated. Corresponding fuzzy ...
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