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Application of Choquet Integral-Fuzzy Measures for Aggregating Customers’ Satisfaction
Advances in Fuzzy Systems, 2021 Choquet integral is a type of aggregation operator that is commonly used to aggregate the interrelated information. Nowadays, this operator has been successfully embedded with fuzzy measures in solving various evaluation problems.
Lazim Abdullah +2 more
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A statistical inference method for the stochastic reachability analysis. [PDF]
, 2005 The main contribution of this paper is the characterization of reachability problem associated to stochastic hybrid systems in terms of imprecise probabilities. This provides the connection between reachability problem and Bayesian statistics.
Bujorianu, L.M.
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A Choquet theory of Lipschitz‐free spaces
Proceedings of the London Mathematical Society, Volume 132, Issue 2, February 2026.Abstract Let (M,d)$(M,d)$ be a complete metric space and let F(M)$\mathcal {F}({M})$ denote the Lipschitz‐free space over M$M$. We develop a ‘Choquet theory of Lipschitz‐free spaces’ that draws from the classical Choquet theory and the De Leeuw representation of elements of F(M)$\mathcal {F}({M})$ (and its bi‐dual) by positive Radon measures on βM ...
Richard J. Smith
wiley +1 more source
Decomposition approaches to integration without a measure [PDF]
, 2015 Extending the idea of Even and Lehrer [3], we discuss a general approach to integration based on a given decomposition system equipped with a weighting function, and a decomposition of the integrated function.
Greco, Salvatore +3 more
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Journal of Neurochemistry, Volume 170, Issue 1, January 2026.Cerebral cavernous malformations (CCMs) are vascular lesions in the brain caused by inherited genetic mutations in the CCM1/2/3 genes that disrupt normal blood vessel function. This work demonstrates that these mutations lead to endothelial dysfunction, inflammation, and iron accumulation, which can be detected by magnetic resonance imaging (MRI) and ...
Fabrícia Lima Fontes‐Dantas +5 more
wiley +1 more source
Weighted capacity and the Choquet integral [PDF]
Proceedings of the American Mathematical Society, 1988 The capacity set function that is naturally associated with a linear second-order elliptic partial differential operator in divergence form is related to the concept of the Choquet integral of a weight function with respect to Newtonian capacity. The weight function comes from the coefficients of the differential operator.
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A decade of application of the Choquet and Sugeno integrals in multi-criteria decision aid [PDF]
The main advances regarding the use of the Choquet and Sugeno integrals in multi-criteria decision aid over the last decade are reviewed. They concern mainly a bipolar extension of both the Choquet integral and the Sugeno integral, interesting particular
Christophe Labreuche, Michel Grabisch
core
Efficiency in Pure‐Exchange Economies With Risk‐Averse Monetary Utilities
Mathematical Finance, Volume 36, Issue 1, Page 99-117, January 2026.ABSTRACT We study Pareto efficiency in a pure‐exchange economy where agents' preferences are represented by risk‐averse monetary utilities. These coincide with law‐invariant monetary utilities, and they can be shown to correspond to the class of monotone, (quasi‐)concave, Schur concave, and translation‐invariant utility functionals. This covers a large
Mario Ghossoub, Michael B. Zhu
wiley +1 more source
Journal of Applied Mathematics, 2014 The recent problem of network resource allocation is studied where pairs of users could be in a favourable situation, given that the allocation scheme is refined by some add-on technology. The general question here is whether the additional effort can be
Aoi Honda, Mario Köppen
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Fredholm-Choquet integral equations
Journal of Integral Equations and Applications, 2019 The author considers the classical second-kind Fredholm integral equation, in which the Lebesgue-type integral \(\int\) is replaced by the more general Choquet integral \((\mathrm{c}) \int\) with respect to a monotone, submodular and continuous from below set function \(\mu: \mathcal{C}\rightarrow [0,+\infty]\), and studies the corresponding Fredholm ...
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