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On the oscillating power sequence of a fuzzy matrix

✍ Scribed by Zhou-Tian Fan; De-Fu Liu

Publisher: Elsevier Science
Year: 1998
Tongue: English
Weight: 581 KB
Volume: 93
Category: Article
ISSN: 0165-0114
DOI: 10.1016/s0165-0114(96)00194-7

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✦ Synopsis

The properties of an oscillating power sequence of an n × 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 matrices. It is also shown that the period index set of the power sequences of fuzzy matrices of order n is not bounded from above by a power of n for all integers n.

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