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Normal lattices and coseparation of lattices [PDF]
Let X be an arbitrary non-empty set, and let ℒ be a lattice of subsets of X such that ∅, X∈ℒ. We first summarize a number of known conditions which are equivalent to ℒ being normal.
Barry B. Mittag
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Quantitative approximation by nonlinear Angheluta-Choquet singular integrals
By using the concept of nonlinear Choquet integral with respect to a capacity and as a generalization of the Poisson-Cauchy-Choquet operators, we introduce the nonlinear Angheluta-Choquet singular integrals with respect to a family of submodular set ...
Sorin Gal, Ionut Iancu
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Invariant Finitely Additive Measures for General Markov Chains and the Doeblin Condition
In this paper, we consider general Markov chains with discrete time in an arbitrary measurable (phase) space. Markov chains are given by a classical transition function that generates a pair of conjugate linear Markov operators in a Banach space of ...
Alexander Zhdanok
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This paper presents a constructive proof of the existence of a regular non-atomic strictly-positive measure on any second-countable non-atomic locally compact Hausdorff space.
Bentley Jason
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Atoms of Certain Types of Non-Additive Set Functions [PDF]
Abstract In this paper, different considerations on atoms, pseudo-atoms and minimal atoms are given for several types of non-additive set functions. In this sense, their properties, different relationships, examples and counterexamples are given.
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Genomic Analysis of Visceral Fat Accumulation in Holstein Cows
Visceral fat is related to important metabolic processes, including insulin sensitivity and lipid mobilization. The goal of this study was to identify individual genes, pathways, and molecular processes implicated in visceral fat deposition in dairy cows.
Larissa C. Novo +4 more
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An Inventory Model under Space Constraint in Neutrosophic Environment: A Neutrosophic Geometric Programming Approach [PDF]
In this paper, an inventory model is developed without shortages where the production cost is inversely related to the set up cost and production quantity. In addition, the holding cost is considered time dependent.
Chaitali Kar +2 more
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Design method of secure computing protocol for deep neural network
Aiming at the information leakage problem in the process of deep neural network model calculation,a series of secure and efficient interactive computing protocols were designed between two non-collusive edge servers in combination with the additive ...
Renwan BI +3 more
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Integral Representation of Coherent Lower Previsions by Super-Additive Integrals
Coherent lower previsions generalize the expected values and they are defined on the class of all real random variables on a finite non-empty set. Well known construction of coherent lower previsions by means of lower probabilities, or by means of super ...
Serena Doria, Radko Mesiar, Adam Šeliga
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Ostrowski and Čebyšev type inequalities for interval-valued functions and applications.
As an essential part of classical analysis, Ostrowski and Čebyšev type inequalities have recently attracted considerable attention. Due to its universality, the non-additive integral inequality takes several forms, including Sugeno integrals, Choquet ...
Jing Guo +3 more
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