Affiliation:
1. Computer Science Department, University of Massachusetts Boston, 125 Mor- rissey Blvd. Boston, Massachusetst 02125, United States of America
Abstract
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.
Publisher
Editura Universitatii Alexandru Ioan Cuza din Iasi