Results 11 to 20 of about 13,148,733 (307)
A Philosophical Foundation of Non-Additive Measure and Probability [PDF]
Theory and Decision, 2006 In this paper, non-additivity of a set function is interpreted as a method to express relations between sets which are not modeled in a set theoretic way. Drawing upon a concept called "quasi-analysis" of the philosopher Rudolf Carnap, we introduce a transform for sets, functions, and set functions to formalize this idea.
Sebastian Maaß, Maaß, Sebastian
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Non-Additive Measure and Integral
, 1994 Non-Additive Measure and Integral is the first systematic approach to the subject. Much of the additive theory (convergence theorems, Lebesgue spaces, representation theorems) is generalized, at least for submodular measures which are characterized by ...
Denneberg, Dieter
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Generalised Perspectives and Foundations in Non-Additive Measure Derivatives and Choquet Integration
AxiomsNon-additive measures and integrals have become important mathematical tools in modern research. They offer powerful frameworks for modelling interaction, uncertainty, and handling incomplete data where traditional additive techniques fail.
Zuzana Ontkovičová, Vicenç Torra
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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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Model of non-additive H-measure
, 2013 Запропоновано модель неадитивної H-міри, в якій невизначеність визначається ентропією переваг або суб’єктивних вірогідностей. Модель H-міри добре компонується з принципом максимума ентропії Джейнса, а також з принципом максимума суб’єктивної ентропії.
Касьянов, Владимир Александрович
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Identification of non-additive measures from sample data
, 2003 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
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Simplest non-additive measures of quantum resources [PDF]
Quantum Information Processing, 2021 Given an arbitrary state $ρ$ and some figure of merit ${\cal E}(ρ)$, it is usually a hard problem to determine the value of ${\cal E}(ρ^{\otimes N})$. One noticeable exception is the case of additive measures, for which we simply have ${\cal E}(ρ^{\otimes N}) = Ne$, with $e\equiv {\cal E}(ρ)$.
L. F. Melo, Fernando Parisio
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Extreme points of some families of non-additive measures
European Journal of Operational Research, 2006 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Pedro Miranda 0002 +2 more
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Approximation of capacities with additive measures
Karpatsʹkì Matematičnì Publìkacìï, 2017 For a space of non-additive regular measures on a metric compactum with the Prokhorov-style metric, it is shown that the problem of approximation of arbitrary measure with an additive measure on a fixed finite subspace reduces to linear optimization ...
O.R. Nykyforchyn, I.D. Hlushak
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The transport problem for non-additive measures
European Journal of Operational Research, 2023 Non-additive measures, also known as fuzzy measures, capacities, and monotonic games, are increasingly used in different fields. Applications have been built within computer science and artificial intelligence related to e.g. decision making, image processing, machine learning for both classification, and regression.
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