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How Quantum Mechanics Requires Non-Additive Measures [PDF]
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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The Transport Problem for Non-Additive Measures
European Journal of Operational Research, 2023 Non-additive measures, also known as fuzzy measures, capacities, and monotonic games, are increasingly used in different fields. Applications have been built within computer science and artificial intelligence related to e.g. decision making, image processing, machine learning for both classification, and regression.
Vicenç Torra
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Invariant Finitely Additive Measures for General Markov Chains and the Doeblin Condition
Mathematics, 2023 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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Pseudo-Additive Tsallis Entropy and Non-Factorizing Joint Statistics in Product Sheffer Stroke Basic Algebras [PDF]
EntropyThis paper addresses the problem of formulating generalized, non-extensive information-theoretic measures on finite non-distributive algebraic structures equipped with Riečan states, with particular emphasis on product Sheffer stroke basic algebras.
Ibrahim Senturk +2 more
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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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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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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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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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Integrated model for genomic prediction under additive and non-additive genetic architecture
Frontiers in Plant Science, 2022 Using data from genome-wide molecular markers, genomic selection procedures have proved useful for estimating breeding values and phenotypic prediction. The link between an individual genotype and phenotype has been modelled using a number of parametric ...
Neeraj Budhlakoti +6 more
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Compatibilities between continuous semilattices
Karpatsʹkì Matematičnì Publìkacìï, 2021 We define compatibilities between continuous semilattices as Scott continuous functions from their pairwise cartesian products to $\{0,1\}$ that are zero preserving in each variable.
O.Ya. Mykytsey, K.M. Koporkh
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