On the Monotone Matrices over Distributive Lattices


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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.



Advanced Materials Research (Volumes 217-218)

Edited by:

Zhou Mark




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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