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Bertoluzza, Carlo and Miranda Menéndez, Pedro and Gil, Pedro (2005) A generalization of local divergence measures. International Journal of Approximate Reasoning, 40 (3). pp. 127-146. ISSN 0888-613X
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Official URL: http://www.sciencedirect.com/science/article/pii/S0888613X04001148
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.
Item Type: | Article |
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Uncontrolled Keywords: | Divergence measures; Local property; Ling�s theorem; Componibility |
Subjects: | Sciences > Mathematics > Cybernetics |
ID Code: | 17080 |
Deposited On: | 13 Nov 2012 10:11 |
Last Modified: | 06 Aug 2018 11:30 |
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