Iterates of fuzzy circulant matrices (Q1319440)
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scientific article; zbMATH DE number 550087
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Iterates of fuzzy circulant matrices |
scientific article; zbMATH DE number 550087 |
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Iterates of fuzzy circulant matrices (English)
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19 April 1994
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The sequence of max-min powers of a square matrix over the semiring \(([0,1], \max, \min)\) is examined [cf. \textit{J. Li}, ibid. 48, No. 3, 365- 369 (1992; Zbl 0760.15012)]. The obtained results have the restrictive assumption that the considered matrix is a circulant one [cf. \textit{P. J. Davis}, Circulant matrices, (1979; Zbl 0418.15017)] with ordered first row. The results can be applied to the fast computation of the transitive closure for a fuzzy relation on a finite set (relation with a circulant membership matrix).
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fuzzy circulant matrices
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permutation matrix
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max-min powers
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semiring
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transitive closure
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fuzzy relation
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