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On the Polytope of Non-Additive Measures
Fuzzy Sets and Systems, 2008 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Pedro Miranda +1 more
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Studies in Fuzziness and Soft Computing, 2014 This book provides a comprehensive and timely report in the area of non-additive measures and integrals. It is based on a panel session on fuzzy measures, fuzzy integrals and aggregation operators held during the 9th International Conference on Modeling ...
Narukawa, Yasuo +2 more
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On the f-Divergence for Discrete Non-Additive Measures
Information Sciences, 2020Distances of probability measures, including f-divergences, Hellinger distance, Kullback-Leibler divergence, etc., play an important role in information theory and statistics. In several cases, the connection between these distances and Radon-Nikodym derivatives is exploited.
Yasuo Narukawa +2 more
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On the f-Divergence for Non-Additive Measures
Fuzzy Sets and Systems, 2016The f-divergence evaluates the dissimilarity between two probability distributions defined in terms of the Radon-Nikodym derivative of these two probabilities. The f-divergence generalizes the Hellinger distance and the Kullback-Leibler divergence among other divergence functions. In this paper we define an analogous function for non-additive measures.
Yasuo Narukawa +2 more
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On the Visualization of Discrete Non-additive Measures
, 2017 Non-additive measures generalize additive measures, and have been utilized in several applications. They are used to represent different types of uncertainty and also to represent importance in data aggregation. As non-additive measures are set functions, the number of values to be considered grows exponentially.
Juhee Bae +3 more
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Additive representations of non-additive measures and the choquet integral [PDF]
Annals of Operations Research, 1994 Real-valued mappings \(v\) defined on a finite algebra are considered satisfying the condition \(v(\emptyset)= 0\) (so-called non-additive measures or capacities). Various properties of the Choquet integral with respect to \(v\) are considered. Especially, a Radon-Nikodým derivative is defined and Bayesian update of a non-additive measure is derived ...
Itzhak Gilboa, David Schmeidler
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Entropy for Non-Additive Measures in Continuous Domains
Fuzzy Sets and Systems, 2017zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Vicenç Torra
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Extreme Points of Some Families of Non-Additive Measures
European Journal of Operational Research, 2006 Non-additive measures are a valuable tool to model many different problems arising in real situations. However, two important difficulties appear in their practical use: the complexity of the measures and their identification from sample data.
Pedro Miranda +2 more
exaly +2 more sources