Decomposition of Fuzzy Matrices

descriptionPublicationkeyboard_double_arrow_right Article 01 Jan 1985 English Publisher:Society for Industrial & Applied Mathematics (SIAM)Journal:SIAM Journal on Algebraic Discrete Methods, volume 6, pages 32-38 (issn: 0196-5212, eissn: 2168-345X,

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Authors: Hashimoto, Hiroshi;

doi: 10.1137/0606003

Decomposition of Fuzzy Matrices

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Abstract

The author gives a decomposition for an \(m\times n\) fuzzy matrix A, \(A=(A*A')(A-QA)\) where Q is an \(m\times m\) nilpotent matrix and \(Q\leq A*A'\), \(C*D=(\prod^{n}_{k=1}(c_{ik}*d_{kj})),\) x*y is 1 or x as \(x\geq y\) or not.

Keywords

Semigroups of transformations, relations, partitions, etc., fuzzy matrix, decomposition, Theory of fuzzy sets, etc., Factorization of matrices, fuzzy database, fuzzy retrieval model

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