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A note on the power sequence of a fuzzy matrix

✍ Scribed by Zhou-Tian Fan


Publisher
Elsevier Science
Year
1999
Tongue
English
Weight
316 KB
Volume
102
Category
Article
ISSN
0165-0114

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πŸ“œ SIMILAR VOLUMES


On the oscillating power sequence of a f
✍ Zhou-Tian Fan; De-Fu Liu πŸ“‚ Article πŸ“… 1998 πŸ› Elsevier Science 🌐 English βš– 581 KB

The properties of an oscillating power sequence of an n Γ— n fuzzy matrix have been studied. The necessary and sufficient conditions have been established for a power sequence to be oscillatory. Furthermore, the oscillation index was detailed to some degree; especially for some typical Boolean matric

On the power sequence of a fuzzy matrix
✍ Zhou-Tian Fan; De-Fu Liu πŸ“‚ Article πŸ“… 1998 πŸ› Elsevier Science 🌐 English βš– 431 KB

Focusing on the behavior of the principal diagonal elements of A k, a new classification has been introduced, which is called circularly k-dominating. It turns out that the convergence index or the oscillating index of the power sequence of an n x n fuzzy matrix of the circularly k-dominating type i

Convergence of the power sequence of a n
✍ Zhou Tian Fan; De-Fu Liu πŸ“‚ Article πŸ“… 1997 πŸ› Elsevier Science 🌐 English βš– 384 KB

By introducing a new classification, the essential role of the principal diagonal elements for the convergence of the power sequence of a fuzzy matrix A, is exported at the level of A itself. The established theorems cover those of monotone or nearly monotone increasing fuzzy matrices. The convergen

On the sequence of consecutive powers of
✍ Chin-Tzong Pang πŸ“‚ Article πŸ“… 2003 πŸ› Elsevier Science 🌐 English βš– 260 KB

In the literature, the limiting behavior of powers of a fuzzy matrix has been studied with max-product composition. Pang and Guu proposed a simple and e ective characterization for the limiting behavior with the notion of asymptotic period. In this paper, we shall extend Pang and Guu's work to the r