Computing the eigenvalues and eigenvectors of a fuzzy matrix. (English) Zbl 1356.65108
Summary: Computation of fuzzy eigenvalues and fuzzy eigenvectors of a fuzzy matrix is a challenging problem. Determining the maximal and minimal symmetric solution can help to find the eigenvalues. So, we try to compute these eigenvalues by determining the maximal and minimal symmetric solution of the fully fuzzy linear system \(\widetilde{A}\widetilde{X}= \widetilde{\lambda} \widetilde{X}\).
MSC:
65F15 | Numerical computation of eigenvalues and eigenvectors of matrices |
15A18 | Eigenvalues, singular values, and eigenvectors |
15B15 | Fuzzy matrices |