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On the sequence of consecutive powers of a fuzzy matrix with max-Archimedean-t-norms

✍ Scribed by Chin-Tzong Pang

Publisher
Elsevier Science
Year
2003
Tongue
English
Weight
260 KB
Volume
138
Category
Article
ISSN
0165-0114

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✦ Synopsis

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 realm with the max-Archimedean-t-norm composition, to which the max-product belongs. Moreover, some su cient conditions for the powers to converge in ΓΏnitely many steps will be established.

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