Bertoluzza, CarloMiranda Menéndez, PedroGil Álvarez, Pedro2023-06-202023-06-202005-11Bertoluzza, C., Miranda Menéndez, P. & Gil Álvarez, P. et al. «A Generalization of Local Divergence Measures». International Journal of Approximate Reasoning, vol. 40, n.o 3, noviembre de 2005, pp. 127-46. DOI.org (Crossref), https://doi.org/10.1016/j.ijar.2004.10.008.0888-613X10.1016/j.ijar.2004.10.008https://hdl.handle.net/20.500.14352/50189In 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.engjournal articlehttps//doi.org/10.1016/j.ijar.2004.10.008http://www.sciencedirect.com/science/article/pii/S0888613X04001148restricted access519.7Divergence measuresLocal propertyLing�s theoremComponibilityCibernética matemática1207.03 Cibernética