JUCS - Journal of Universal Computer Science 13(11): 1767-1778, doi: 10.3217/jucs-013-11-1767
Metric-Entropy Pairs on Lattices
expand article infoDan Simovici‡
‡ University of Massachusetts Boston, Boston, United States of America

Corresponding author: Dan Simovici ( dsim@cs.umb.edu )

© Dan Simovici.
This article is freely available under the J.UCS Open Content License.
Citation: Simovici D (2007) Metric-Entropy Pairs on Lattices. JUCS - Journal of Universal Computer Science 13(11): 1767-1778. https://doi.org/10.3217/jucs-013-11-1767
Open Access
Abstract
We introduce the notion of ∧- and ∨-pairs of functions on lattices as an abstraction of the notions of metric and its related entropy for probability distributions. This approach allows us to highlight the relationships that exist between various properties of metrics and entropies and opens the possibility of extending these concepts to other algebraic structures.
Keywords
entropy, modular lattice, metric