Regularity properties of monotone measure-preserving maps
Advanced Nonlinear Studies, 2023 In this note, we extend the regularity theory for monotone measure-preserving maps, also known as optimal transports for the quadratic cost optimal transport problem, to the case when the support of the target measure is an arbitrary convex domain and ...
Figalli Alessio, Jhaveri Yash
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On Null-Continuity of Monotone Measures [PDF]
Mathematics, 2020 The null-continuity of monotone measures is a weaker condition than continuity from below and possesses many special properties. This paper further studies this structure characteristic of monotone measures.
Jun Li
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New view of fuzzy aggregations. Part III: extensions of the FPOWA operator in the problem of political management [PDF]
Journal of Fuzzy Extension and Applications, 2021 The Ordered Weighted Averaging (OWA) operator was introduced by Yager [34] to provide a method for aggregating inputs that lie between the max and min operators.
Gia Sirbiladze
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Monotone Mean Lp-Deviation Risk Measures
Mathematics, 2023 In this paper, we establish a new coherent risk measure on Lp, which we refer to as the monotone mean Lp-deviation risk measure. Then, the related properties are discussed.
Jinyang Zhang, Linxiao Wei, Yijun Hu
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Associated Statistical Parameters’ Aggregations in Interactive MADM
Mathematics, 2023 From recent studies, the concept of “monotone expectation” (ME) of Interactive Multi-Attribute Decision Making (MADM) is well known, which was developed for the case of different fuzzy sets. This article develops the concept of “monotone expectation” for
Gia Sirbiladze, Tariel Khvedelidze
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Bishop-Phelps-Bollobás property for positive operators when the domain is L∞
Bulletin of Mathematical Sciences, 2021 We prove that the class of positive operators from L∞(μ) to Y has the Bishop-Phelps-Bollobás property for any positive measure μ, whenever Y is a uniformly monotone Banach lattice with a weak unit.
María D. Acosta +1 more
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Monotone set-valued measures: Choquet integral, f-divergence and Radon-Nikodym derivatives
AIMS Mathematics, 2022 Divergence as a degree of the difference between two data is widely used in the classification problems. In this paper, f-divergence, Hellinger divergence and variation divergence of the monotone set-valued measures are defined and discussed.
Zengtai Gong, Chengcheng Shen
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A generalized index for functionality-sensitive resilience quantification
Resilient Cities and Structures, 2023 The resilience index based on the integral of functionality/performance function within a time interval of interest has been widely used in the literature.
Cao Wang
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Fast reaction limit and forward-backward diffusion: A Radon–Nikodym approach
Comptes Rendus. Mathématique, 2022 We consider two singular limits: a fast reaction limit with a non-monotone nonlinearity and a regularization of the forward-backward diffusion equation. We derive pointwise identities satisfied by the Young measure generated by these problems.
Skrzeczkowski, Jakub
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New view of fuzzy aggregations. part I: general information structure for decision-making models [PDF]
Journal of Fuzzy Extension and Applications, 2021 The Ordered Weighted Averaging (OWA) operator was introduced by Yager [57] to provide a method for aggregating inputs that lie between the max and min operators.
Gia Sirbiladze
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