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Non-additive Measures, Envelopes and Extensions to Quasi-Measures

Sarajevo Journal of Mathematics
In 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, supermodular usc-measure $\mu$ on a proper sublattice $M$ of $L$ to a quasi$^{*}$-measure (i.e., a ...
Mona Khare, Soni Gupta
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Non-Additive Measure and Integral

1994
D. Denneberg
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A Non-Additive Measure of Uncertainty

The Review of Economic Studies, 1949
G. Shackle
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On non-additive probability measures

Mathematica Slovaca, 2017
Abstract The additivity of considered measures or integrals resp. can be omitted in some problems of mathematical analysis and its applications. In the paper it is shown that similar situations are possible also in the probability theory. As an example is proved a generalized version of the central limit theorem about the convergence of
Beloslav Riečan, Karol Samuelčik
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Non-additive measures by interval probability functions

Information Sciences, 2001
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Tanaka, Hideo, Sugihara, Kazutomi, Maeda, Yutaka   +2 more
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Relationship among continuity conditions and null-additivity conditions in non-additive measure theory

Fuzzy Sets Syst., 2005
The paper shows all the implication relationship among six continuity conditions and two null-additivity conditions with respect to non-additive measures. The six continuity conditions are continuity from above, order continuity, strong order continuity,
Shin Asahina, K. Uchino, T. Murofushi
semanticscholar   +1 more source

Precise determination of non-additive measures

2008 IEEE Conference on Cybernetics and Intelligent Systems, 2008
The 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, null Wen Zheng, null Song Ci   +2 more
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Conditioning (updating) non-additive measures

Annals of Operations Research, 1994
Several 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, 2019
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Pavel Pták, Hans Weber
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Keynes’s “non-numerical” probabilities and non-additive measures

Journal of Economic Psychology, 2009
Abstract 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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