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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.
null Hai-Feng Guo +2 more
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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
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A Note on Extensions of Non-additive Measures
International Journal of Theoretical Physics, 2019zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Pavel Pták, Hans Weber
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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 ...
BASILI, MARCELLO, ZAPPIA, CARLO
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EGOROFF'S THEOREM ON MONOTONE NON-ADDITIVE MEASURE SPACES
International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems, 2004In this paper, the well-known Egoroff's theorem in classical measure theory is established on monotone non-additive measure spaces. Taylor's theorem, which concerns almost everywhere convergence of measurable function sequence in classical measure theory, is also generalized.
Li, Jun, Yasuda, Masami
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Updating non-additive measures with fuzzy information
Fuzzy Sets and Systems, 1998zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Young, Virginia R., Wang, Shaun S.
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Additive representations of non-additive measures and the choquet integral [PDF]
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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On Regularity for Non-additive Measure
2011In this paper, we give a certain result on the regularity for nonadditive Borel measure under the conditions of weakly null additivity, a continuity from above, and a certain additional continuity.
Toshikazu Watanabe, Tamaki Tanaka
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Lebesgue theorems in non-additive measure theory
Fuzzy Sets and Systems, 2005zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Song, Jinjie, Li, Jun
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On the polytope of non-additive measures
Fuzzy Sets and Systems, 2008zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Combarro, Elías F., Miranda, Pedro
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