Convergence of max-arithmetic mean powers of a fuzzy matrix

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• 作者：Yung-Yih Lur ; Yan-Kuen Wu ; Sy-Ming Guu
• 关键词：Powers of a fuzzy matrix ; Max-arithmetic mean composition ; Convergence
• 刊名：Fuzzy Sets and Systems
• 出版年：2007
• 出版时间：16 November 2007
• 年：2007
• 卷：158
• 期：22
• 页码：2516-2522
• 全文大小：117 K

文摘

Fuzzy matrices provide convenient representations for fuzzy relations on finite universes. In the literature, the powers of a fuzzy matrix with max–min/max-product/max-Archimedean t-norm compositions have been studied. It turns out that the limiting behavior of the powers of a fuzzy matrix depends on the composition involved. In this paper, the max-arithmetic mean composition is considered for the fuzzy relations. We show that the max-arithmetic mean powers of a fuzzy matrix always are convergent.