How Quantum Mechanics Requires Non-Additive Measures [PDF]
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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Spaces of non-additive measures generated by triangular norms
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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An Application of Non-additive Measures and Corresponding Integrals in Tourism Management
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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The transport problem for non-additive measures [PDF]
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.
V. Torra
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The Association Between Genomic Heterozygosity and Carcass Merit in Cattle
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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Egoroff's theorems for random sets on non-additive measure spaces
We present four versions of Egoroff's theorems for measurable closed-valued multifunctions on non-additive measure spaces. The conditions provided for each of these four versions are not only sufficient, but also necessary.
Tao Chen, Hui Zhang, Jun Li
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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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Integrated model for genomic prediction under additive and non-additive genetic architecture
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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Unified entropic measures of quantum correlations induced by local measurements [PDF]
We introduce quantum correlations measures based on the minimal change in unified entropies induced by local rank-one projective measurements, divided by a factor that depends on the generalized purity of the system in the case of non-additive entropies.
Bellomo, G. +4 more
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Coherence Resonance in Random Erdös-Rényi Neural Networks: Mean-Field Theory
Additive noise is known to tune the stability of nonlinear systems. Using a network of two randomly connected interacting excitatory and inhibitory neural populations driven by additive noise, we derive a closed mean-field representation that captures ...
A. Hutt +4 more
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