Title :
Entropies on Bounded Lattices
Author :
Simovici, Dan A.
Author_Institution :
Dept. of Comput. Sci., Univ. of Massachusetts Boston, Boston, MA, USA
Abstract :
We introduce the notion of entropy on arbitrary lattices and we study several of its properties. Explicit forms for entropy are obtained for entropies on graded lattices that satisfy certain regularity conditions. The relationships between entropies and metrics defined on lattices are also explored.
Keywords :
entropy; lattice theory; bounded lattices; entropies; graded lattices; regularity conditions; Algebra; Data mining; Entropy; Feature extraction; Lattices; Linear matrix inequalities; Measurement; bounded lattices; entropy; metrics;
Conference_Titel :
Multiple-Valued Logic (ISMVL), 2011 41st IEEE International Symposium on
Conference_Location :
Tuusula
Print_ISBN :
978-1-4577-0112-2
Electronic_ISBN :
0195-623X
DOI :
10.1109/ISMVL.2011.18
