Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
396283 | Information Sciences | 2006 | 18 Pages |
Abstract
We propose a definition for the entropy of capacities defined on lattices. Classical capacities are monotone set functions and can be seen as a generalization of probability measures. Capacities on lattices address the general case where the family of subsets is not necessarily the Boolean lattice of all subsets. Our definition encompasses the classical definition of Shannon for probability measures, as well as the entropy of Marichal defined for classical capacities. Some properties and examples are given.
Related Topics
Physical Sciences and Engineering
Computer Science
Artificial Intelligence
Authors
Aoi Honda, Michel Grabisch,