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How Quantum Mechanics Requires Non-Additive Measures
Entropy, 2023 Measure theory is used in physics, not just to capture classical probability, but also to quantify the number of states. In previous works, we found that state quantification plays a foundational role in classical mechanics, and, therefore, we set ...
Gabriele Carcassi, Christine A. Aidala
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A new approach to the bipolar Shilkret integral [PDF]
Mathematics and Computational Sciences, 2022 : Capacity, also known as a non-additive measure, is an extension of the Lebesgue measure. In recent years, bi-capacity was presented as a generalization of capacity with several bipolar fuzzy integrals related to bi-capacity, one of them being the ...
Jabbar Ghafil
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A Probabilistic Integral Study of Quasiproduct Overa Nonadditive Measure
Journal of Harbin University of Science and Technology, 2021 In this paper, a definition of non additive measure is given, which has F-addability; the Einstein calculater is optimized, and the λ-fuzzy quasiproduct operator and λ-fuzzy quasi sum operator with adjustable parameters for practical problems are ...
ZHAO Hui, ZHANG Xiao-xue, ZHANG Shao-xin
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Spaces of non-additive measures generated by triangular norms
Математичні Студії, 2023 We consider non-additive measures on the compact Hausdorff spaces, which are generalizations of the idempotent measures and max-min measures. These measures are related to the continuous triangular norms and they are defined as functionals on the spaces ...
Kh. Sukhorukova
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Simplest non-additive measures of quantum resources [PDF]
Quantum Information Processing, 2021 Given an arbitrary state $ρ$ and some figure of merit ${\cal E}(ρ)$, it is usually a hard problem to determine the value of ${\cal E}(ρ^{\otimes N})$. One noticeable exception is the case of additive measures, for which we simply have ${\cal E}(ρ^{\otimes N}) = Ne$, with $e\equiv {\cal E}(ρ)$.
L. F. Melo, Fernando Parisio
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Annales Mathematicae Silesianae, 2022 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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Axioms, 2022 In this paper, the recursive aggregation of OWA operators for intuitionistic fuzzy numbers (IFN) based on a non-additive measure (NAM) with σ−λ rules is constructed and investigated in light of the σ−λ rules of a non-additive measure (NAM). Additionally,
Yongfu Shi, Zengtai Gong
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The Association Between Genomic Heterozygosity and Carcass Merit in Cattle
Frontiers in Genetics, 2022 The objective of the present study was to quantify the association between both pedigree and genome-based measures of global heterozygosity and carcass traits, and to identify single nucleotide polymorphisms (SNPs) exhibiting non-additive associations ...
David Kenny +6 more
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An Application of Non-additive Measures and Corresponding Integrals in Tourism Management
مجلة بغداد للعلوم, 2020 Non-additive measures and corresponding integrals originally have been introduced by Choquet in 1953 (1) and independently defined by Sugeno in 1974 (2) in order to extend the classical measure by replacing the additivity property to non-additive ...
Sabri et al.
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Entropy, 2021 In this study, we theoretically investigated a generalized stochastic Loewner evolution (SLE) driven by reversible Langevin dynamics in the context of non-equilibrium statistical mechanics.
Yusuke Shibasaki, Minoru Saito
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