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Extreme points of some families of non-additive measures
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Pedro Miranda +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.
Vicenç Torra +2 more
exaly +3 more sources
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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On the Visualization of Discrete Non-additive Measures
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
semanticscholar +3 more sources
Theory and Applications of Non-additive Measures and Corresponding Integrals
Lecture Notes in Computer Science, 2013It is given an short overview of some recent results in the theory of non-additive measures and corresponding integrals. It is presented the universal integral, which include among others, Lebesgue, Choquet, Sugeno, pseudo---additive, Shilkret integrals. Related pseudo-integral a generalization of L p space is introduced.
Endre Pap, Pap Endre
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Identification of non-additive measures from sample data
Non-additive measures have become a powerful tool in Decision Making. Therefore, a lot of problems can be solved through the use of Choquet integral with respect to a non-additive measure. Once the decision maker decides to use this criterion in his decision process, next step is to build the non-additive measure up.
Miranda, Pedro +2 more
semanticscholar +4 more sources
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 ...
V. Torra, Y. Narukawa, M. Sugeno
semanticscholar +3 more sources
A modified Kullback–Leibler divergence for non-additive measures based on Choquet integral
Fuzzy Sets and Systems, 2019The Kullback–Leibler divergence is a very important concept in statistics and probability which helps us in many problems of information systems. The main property of the Kullback–Leibler divergence is non-negativity.
Hamzeh Agahi
exaly +2 more sources
Conditioning (updating) non-additive measures
Annals of Operations Research, 1994Several update rules for non-additive probabilities, among them the Dempster-Shafer rule for belief functions and certain update rules in the spirit of Bayesian statistics with multiple prior probabilities, are reviewed, investigated and compared with each other. This is done within the unifying framework of general, nonadditive measure and integration
D. Denneberg
openaire +2 more sources
Non-additive measures by interval probability functions
Information Sciences, 2001zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Hideo Tanaka +2 more
openaire +3 more sources

