On nilpotent fuzzy matrices (Q1885727)
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scientific article; zbMATH DE number 2115158
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On nilpotent fuzzy matrices |
scientific article; zbMATH DE number 2115158 |
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On nilpotent fuzzy matrices (English)
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12 November 2004
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The authors deal with square matrices over a distributive, bounded lattice [cf. \textit{K. H. Kim, F. W. Roush}, Fuzzy Sets Syst. 4, 293--315 (1980; Zbl 0451.20055); Lin. Alg. Appl. 379, 457--473 (2004; Zbl 1044.15009)]. Nilpotent matrices (over the max-min product) are characterized by spectral radii and by their principal permanents, which improve and generalize some results of \textit{K. L. Zhang} [Fuzzy Sets Syst. 117 (3), 403--406 (2001; Zbl 0971.15008)]. Next, a simultaneous nilpotency of a finite family of matrices is considered and the convergence of mixed powers of nilpotent matrices is examined [cf. \textit{S.-M. Guu, H.-H. Chen, C.-T. Peng}, Fuzzy Sets Syst. 121 (2), 203--207 (2001; Zbl 0994.15017)].
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matrices over lattices
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\(D_{01}\)-lattice
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max-min product
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nilpotent matrix
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mixed powers
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fuzzy matrices
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nilpotent fuzzy matrices
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max-min operations
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distributive lattice
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0.98101676
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0.9716058
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0.9014544
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