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Vector valued information measures and integration with respect to fuzzy vector capacities
[EN] Integration with respect to vector-valued fuzzy measures is used to define and study information measuring tools. Motivated by some current developments in Information Science, we apply the integration of scalar functions with respect to vector-valued fuzzy measures, also called vector capacities.
E.A. Sánchez Pérez, R. Szwedek
openaire +5 more sources
Homogeneous Banach Spaces as Banach Convolution Modules over M(G)
This paper is supposed to form a keystone towards a new and alternative approach to Fourier analysis over LCA (locally compact Abelian) groups G.
Hans Georg Feichtinger
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The aim of this study is to generalize moving average by means of Choquet integral. First, by employing nonadditive measures with δ − λ rules, the calculation of the moving average for a series of fuzzy numbers can be transformed into Choquet integration
Zengtai Gong +3 more
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On fields inspired with the polar HSV - RGB theory of Colour [PDF]
This paper was supported by Grant VEGA 2/0178/14 and by the Slovak-Ukrainian joint research project "Vector valued measures and integration in polarized vector ...
Haluška, Ján
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Singular Bilinear Integrals in Quantum Physics
Bilinear integrals of operator-valued functions with respect to spectral measures and integrals of scalar functions with respect to the product of two spectral measures arise in many problems in scattering theory and spectral analysis. Unfortunately, the
Brian Jefferies
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Multifunctions determined by integrable functions [PDF]
Integral properties of multifunctions determined by vector valued functions are presented. Such multifunctions quite often serve as examples and counterexamples.
Candeloro, D. +3 more
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Quantum Equivalence of Auxiliary Field Methods in Supersymmetric Theories [PDF]
Quantum corrections to Legendre transformations are shown to cancel to all orders in supersymmetric theories in path integral formalism. Using this result, lagrangians for auxiliary fields are generalized to non-quadratic forms.
Higashijima, Kiyoshi, Nitta, Muneto
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Weak-strong uniqueness for measure-valued solutions to the Ericksen-Leslie model equipped with the Oseen-Frank free energy [PDF]
We analyze the Ericksen-Leslie system equipped with the Oseen-Frank energy in three space dimensions. Recently, the author introduced the concept of measure-valued solutions to this system and showed the global existence of these generalized solutions ...
Lasarzik, Robert
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Sample path properties of stochastic processes represented as multiple stable integrals [PDF]
Originally published as a technical report no. 871, October 1989 for Cornell University Operations Research and Industrial Engineering. Available online: http://hdl.handle.net/1813/8754This paper studies the sample path properties of stochastic processes
Rosinski, Jan +2 more
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Measure-valued solutions to the Ericksen-Leslie model equipped with the Oseen-Frank energy [PDF]
In this article, we prove the existence of measure-valued solutions to the Ericksen-Leslie system equipped with the Oseen-Frank energy. We introduce the concept of generalized gradient Young measures.
Lasarzik, Robert
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