Analysis and Computation of Eigenvalues of Symmetric Fuzzy Matrices | Zendy

Jeroen De Vlieger | Zendy; Karl Meerbergen | Zendy; Theodore E. Simos | Zendy; George Psihoyios | Zendy; Ch. Tsitouras | Zendy

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Analysis and Computation of Eigenvalues of Symmetric Fuzzy Matrices

Author(s) -

Jeroen De Vlieger,

Karl Meerbergen,

Theodore E. Simos,

George Psihoyios,

Ch. Tsitouras

Publication year - 2009

Publication title -

aip conference proceedings

Language(s) - English

Resource type - Conference proceedings

SCImago Journal Rank - 0.177

H-Index - 75

eISSN - 1551-7616

pISSN - 0094-243X

DOI - 10.1063/1.3241448

Subject(s) - eigenvalues and eigenvectors , computation , mathematics , fuzzy logic , symmetric matrix , matrix analysis , matrix (chemical analysis) , convex optimization , eigendecomposition of a matrix , mathematical optimization , regular polygon , algebra over a field , algorithm , computer science , pure mathematics , geometry , artificial intelligence , physics , materials science , quantum mechanics , composite material

This paper discusses eigenvalues of symmetric matrices with a linear fuzzy parameter. Such matrices arise in the analysis of vibrating structures with design uncertainties. We will show mathematical properties of the eigenvalues, and use these properties for the efficient computation of the largest (and the smallest) eigenvalue of the fuzzy matrix. We introduce a new method, the Convex Fuzzy Eigenvalue (CFE) method, for the computation of the α -cuts of the largest fuzzy eigenvalue. It is a hybrid method that combines a Design Of Experiment (DOE) approach with convex optimization.status: publishe

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