Geodesic
On the weak robustness of fuzzy matrices
Kybernetika, Tome 49 (2013) no. 1, pp. 128-140.

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A matrix $A$ in $(\max,\min)$-algebra (fuzzy matrix) is called weakly robust if $A^k\otimes x $ is an eigenvector of $A$ only if $x$ is an eigenvector of $A$. The weak robustness of fuzzy matrices are studied and its properties are proved. A characterization of the weak robustness of fuzzy matrices is presented and an $O(n^2)$ algorithm for checking the weak robustness is described.
Classification : 08A72, 90B35, 90C47
Keywords: weak robustness; fuzzy matrices 
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     title = {On the weak robustness of fuzzy matrices},
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Plavka, Ján. On the weak robustness of fuzzy matrices. Kybernetika, Tome 49 (2013) no. 1, pp. 128-140. http://geodesic.mathdoc.fr/item/KYB_2013__49_1_a8/