Results 1 to 10 of about 2,427,063 (305)

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
doaj   +2 more sources

Totally monotone core and products of monotone measures

International Journal of Approximate Reasoning, 2000
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Dieter Denneberg
exaly   +3 more sources

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
doaj   +2 more sources

Geometric Aspects of Entanglement [PDF]

Entropy
Quantum entanglement is a fundamental resource in quantum information theory, yet its general characterization and quantification remain challenging, especially in multipartite systems.
Lucio De Simone, Lorenzo Capra, Arthur Vesperini, Leonardo Rossi, Loris Di Cairano, Roberto Franzosi   +5 more
doaj   +2 more sources

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
doaj   +1 more source

Monotone Mean L^p-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
doaj   +1 more source

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
doaj   +1 more source

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, Maryam Soleimani-Mourchehkhorti   +1 more
doaj   +1 more source

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
doaj   +1 more source

Measuring the Lack of Monotonicity in Functions [PDF]

SSRN Electronic Journal, 2014
Problems in econometrics, insurance, reliability engineering, and statistics quite often rely on the assumption that certain functions are non-decreasing. To satisfy this requirement, researchers frequently model the underlying phenomena using parametric and semi-parametric families of functions, thus effectively specifying the required shapes of the ...
Qoyyimi, Danang Teguh, Zitikis, Ricardas
openaire   +2 more sources