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Non-additive measures for quantum probability?
It is well-established that quantum probability does not follow classical Kolmogorov probability calculus. Various approaches have been developed to loosen the axioms, of which the use of signed measures is the most successful (e.g.
G. Carcassi, C. Aidala
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On the f-divergence for discrete non-additive measures
Information Sciences, 2020In this paper we study the definition of the f-divergence and the Hellinger distance for non-additive measures in the discrete case. As these measures are based on the derivatives of the measures, we consider the problem of defining the Radon–Nikodym ...
V. Torra, Y. Narukawa, M. Sugeno
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Non-additive Measures, Envelopes and Extensions to Quasi-Measures
Sarajevo Journal of MathematicsIn the present paper, we introduce the notions of lower envelope and upper envelope for a [0, $\infty$]-valued function $\mu$ defined on a proper sublattice $M$ of a locally complete $\sigma$-continuous lattice $L$, and we extend a finite-stable ...
M. Khare, Soni Gupta
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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
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Non-additive measures by interval probability functions
Information Sciences, 2004zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Hideo Tanaka, K. Sugihara, Y. Maeda
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Precise determination of non-additive measures
2008 IEEE Conference on Cybernetics and Intelligent Systems, 2008The Choquet integral model has been shown useful in many practical applications due to its distinguished feature that the interaction among predictive attributes toward the objective attribute can be properly reflected through a set of non-additive measures.
Hai-Feng Guo, Wen Zheng, S. Ci
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Identification of non-additive measures from sample data
Planning Based on Decision Theory, 2003Non-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.
P. Miranda, M. Grabisch, P. Gil
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Keynes’s “non-numerical” probabilities and non-additive measures
Journal of Economic Psychology, 2009Abstract This paper argues that a representation of the epistemic state of the individual through a non-additive measure provides a novel account of Keynes’s view of probability theory proposed in the Treatise on Probability. The paper shows, first, that Keynes’s “non-numerical” probabilities can be interpreted in terms of decision weights and ...
Marcello Basili, C. Zappia
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