Abstract
In our prior study, we have examined in depth the notion of an asymptotic period of the power sequence of an n × n fuzzy matrix with max-Archimedean- t -norms, and established a characterization for the power sequence of an n × n fuzzy matrix with an asymptotic period using analytical-decomposition methods. In this paper, by using graph-theoretical tools, we further give an alternative proof for this characterization. With the notion of an asymptotic period using graph-theoretical tools, we additionally show a new characterization for the limit behaviour, and then derive some results for the power sequence of an n × n fuzzy matrix with an asymptotic period.
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