Geodesic
On the weak robustness of fuzzy matrices
Kybernetika, Tome 49 (2013) no. 1, pp. 128-140 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

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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.
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 
@article{KYB_2013_49_1_a8,
     author = {Plavka, J\'an},
     title = {On the weak robustness of fuzzy matrices},
     journal = {Kybernetika},
     pages = {128--140},
     year = {2013},
     volume = {49},
     number = {1},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/KYB_2013_49_1_a8/}
}
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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/