On the Monotone Matrices over Distributive Lattices

Abstract:

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Since lattice matrices are useful tools in various domains like cluster analysis, computer network, traffic control, logistics and so on, the study of the properties of lattice matrices is valuable. A lattice matrix is called monotone if is transitive or is monotone increasing. In this paper, the transitivity of powers and the properties of a transitive lattice matrix are studied. Also, the proper- tyes of a monotone increasing lattice matrix are considered.

Info:

Periodical:

Advanced Materials Research (Volumes 217-218)

Edited by:

Zhou Mark

Pages:

584-590

DOI:

10.4028/www.scientific.net/AMR.217-218.584

Citation:

J. Jiang et al., "On the Monotone Matrices over Distributive Lattices", Advanced Materials Research, Vols. 217-218, pp. 584-590, 2011

Online since:

March 2011

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Price:

$38.00

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