Convergence of max-arithmetic mean powers of a fuzzy matrix

Yung Yih Lur; Yan Kuen Wu; Sy Ming Guu

doi:10.1016/j.fss.2007.05.013

Convergence of max-arithmetic mean powers of a fuzzy matrix

Yung Yih Lur^*, Yan Kuen Wu, Sy Ming Guu

^*Corresponding author for this work

Research output: Contribution to journal › Journal Article › peer-review

13 Scopus citations

Abstract

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.

Original language	English
Pages (from-to)	2516-2522
Number of pages	7
Journal	Fuzzy Sets and Systems
Volume	158
Issue number	22
DOIs	https://doi.org/10.1016/j.fss.2007.05.013
State	Published - 16 11 2007
Externally published	Yes

Keywords

Convergence
Max-arithmetic mean composition
Powers of a fuzzy matrix

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author = "Lur, {Yung Yih} and Wu, {Yan Kuen} and Guu, {Sy Ming}",

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AU - Lur, Yung Yih

AU - Wu, Yan Kuen

AU - Guu, Sy Ming

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N2 - 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.

AB - 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.

KW - Convergence

KW - Max-arithmetic mean composition

KW - Powers of a fuzzy matrix

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U2 - 10.1016/j.fss.2007.05.013

DO - 10.1016/j.fss.2007.05.013

M3 - 文章

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SP - 2516

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JO - Fuzzy Sets and Systems

JF - Fuzzy Sets and Systems

IS - 22

ER -

Convergence of max-arithmetic mean powers of a fuzzy matrix

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Keywords

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