Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
9651024 | Information Sciences | 2005 | 23 Pages |
Abstract
To extend the classical Shannon entropy to nonadditive measures, Marichal recently introduced the concept of generalized entropy for discrete Choquet capacities. We provide a first axiomatization of this new concept on the basis of three axioms: the symmetry property, a boundary condition for which the entropy reduces to the Shannon entropy, and a generalized version of the well-known recursivity property. We also show that this generalized entropy fulfills several properties considered as requisites for defining an entropy-like measure. Lastly, we provide an interpretation of it in the framework of aggregation by the discrete Choquet integral.
Related Topics
Physical Sciences and Engineering
Computer Science
Artificial Intelligence
Authors
Ivan Kojadinovic, Jean-Luc Marichal, Marc Roubens,