On the asymptotic period of powers of a fuzzy matrix

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• 作者：Chin-Tzong Pang
• 关键词：Boolean matrices ; Fuzzy matrices ; Max-Archimedean- ; none ; color ; black"" href=""/science?_ob=MathURL&_method=retrieve&_udi=B6TYJ-4NN1TMY-4&_mathId=mml5&_user=10&_cdi=5620&_rdoc=13&_acct=C000050221&_version=1&_userid
• 刊名：Computers and Mathematics with Applications
• 出版年：2007
• 出版时间：July 2007
• 年：2007
• 卷：54
• 期：2
• 页码：310-318
• 全文大小：221 K

文摘

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.