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Media type:
E-Article
Title:
Monotonic Entropies
Contributor:
Simovici, Dan
Published:
Editura Universitatii Alexandru Ioan Cuza din Iasi, 2024
Published in:
Scientific Annals of Computer Science (2024), Seite 67-87
Language:
Not determined
DOI:
10.47743/sacs.2024.1.67
ISSN:
2248-2695
Origination:
Footnote:
Description:
We introduce an axiomatization of entropy that generates, as special cases, novel entropy types. These entropies generalize Shannon’s entropy and allow the introduction of entropy for partitions of sets of objects located in metric spaces, and for partitions of sets of vertices in undirected graphs. Corresponding metrics on the sets of partitions are introduced. Also, we hint to applications of these metrics for evaluation of clustering quality.