On transitivity of generalized fuzzy matrices

descriptionPublicationkeyboard_double_arrow_right Article 01 Jan 2013 English Publisher:Elsevier BVJournal:Fuzzy Sets and Systems, volume 210, pages 69-88 (issn: 0165-0114,

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Authors: Yi-Jia Tan;

doi: 10.1016/j.fss.2012.04.001

On transitivity of generalized fuzzy matrices

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Abstract

Abstract In this paper, generalized fuzzy matrices are considered as matrices over a special type of semiring which is called path algebra. Some elementary properties and characterizations for transitive generalized fuzzy matrices are established and transitivity of powers of a generalized fuzzy matrix is discussed. Also, the transitive closure of a generalized fuzzy matrix is considered and some properties of the transitive closures are obtained. Partial results obtained in this paper generalize the corresponding ones on nilpotent matrices and on matrices with periods.

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Fuzhou University
China (People's Republic of)

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