Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
9651708 | International Journal of Approximate Reasoning | 2005 | 20 Pages |
Abstract
In this paper we propose a generalization of the concept of the local property for divergence measures. These new measures will be called g-local divergence measures, and we study some of their properties. Once this family is defined, a characterization based on Ling's theorem is given. From this result, we obtain the general form of g-local divergence measures as a function of the divergence in each element of the reference set; this study is divided in three parts according to the cardinality of the reference set: finite, infinite countable or non-countable. Finally, we study the problem of componible divergence measures as a dual concept of g-local divergence measures.
Keywords
Related Topics
Physical Sciences and Engineering
Computer Science
Artificial Intelligence
Authors
Carlo Bertoluzza, Pedro Miranda, Pedro Gil,