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38th International Symposium on Multiple Valued Logic (ismvl 2008)
Betweenness, Metrics and Entropies in Lattices
May 22-May 24
ISBN: 978-0-7695-3155-7
ASCII Text
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Dan A. Simovici, "Betweenness, Metrics and Entropies in Lattices," Multiple-Valued Logic, IEEE International Symposium on, pp. 26-31, 38th International Symposium on Multiple Valued Logic (ismvl 2008), 2008.
 
 
BibTex
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@article{ 10.1109/ISMVL.2008.21,
author = {Dan A. Simovici},
title = {Betweenness, Metrics and Entropies in Lattices},
journal ={Multiple-Valued Logic, IEEE International Symposium on},
volume = {0},
year = {2008},
issn = {0195-623X},
pages = {26-31},
doi = {http://doi.ieeecomputersociety.org/10.1109/ISMVL.2008.21},
publisher = {IEEE Computer Society},
address = {Los Alamitos, CA, USA},
}
 
 
RefWorks Procite/RefMan/Endnote
x 
 
TY - CONF
JO - Multiple-Valued Logic, IEEE International Symposium on
TI - Betweenness, Metrics and Entropies in Lattices
SN - 0195-623X
SP26
EP31
A1 - Dan A. Simovici,
PY - 2008
KW - compatible metric
KW - sub-modularity
KW - modular lattices
VL - 0
JA - Multiple-Valued Logic, IEEE International Symposium on
ER -
 
We investigate a class of metrics on lattices that are compatible with the partial order defined by the lattice using the ternary relation of betweenness that can be naturally defined on a metric space.??Therelationships between entropy-like functions and metrics defined on lattices are studied and we show the links that exists between various properties of entropies and properties of metrics.??Applications tometrics defined on the lattice of partitions of finite sets are examined.
Index Terms:
compatible metric, sub-modularity, modular lattices
Citation:
Dan A. Simovici, "Betweenness, Metrics and Entropies in Lattices," ismvl, pp.26-31, 38th International Symposium on Multiple Valued Logic (ismvl 2008), 2008
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