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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
doaj   +5 more sources

A Philosophical Foundation of Non-Additive Measure and Probability [PDF]

Theory and Decision, 2006
ISSN:1573 ...
S. Maaß
semanticscholar   +8 more sources

Additivity and non-additivity of multipartite entanglement measures [PDF]

New Journal of Physics, 2010
45 pages, 4 figures. Proposition 23 and Theorem 24 are revised by correcting a minor error from Eq. (A.2), (A.3) and (A.4) in the published version. The abstract, introduction, and summary are also revised.
Zhu, H., Chen, L., Hayashi, M.
core   +9 more sources

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
doaj   +3 more sources

Quantifying genomic connectedness and prediction accuracy from additive and non-additive gene actions

Genetics Selection Evolution, 2018
Background Genetic connectedness is classically used as an indication of the risk associated with breeding value comparisons across management units because genetic evaluations based on best linear unbiased prediction rely for their success on sufficient
Mehdi Momen, Gota Morota
doaj   +2 more sources

Temporal Drivers of Liking Based on Functional Data Analysis and Non-Additive Models for Multi-Attribute Time-Intensity Data of Fruit Chews

Foods, 2018
Conventional drivers of liking analysis was extended with a time dimension into temporal drivers of liking (TDOL) based on functional data analysis methodology and non-additive models for multiple-attribute time-intensity (MATI) data.
Carla Kuesten, Jian Bi
doaj   +2 more sources

On the Significance of the Quantum Mechanical Covariance Matrix

Entropy, 2018
The characterization of quantum correlations, being stronger than classical, yet weaker than those appearing in non-signaling models, still poses many riddles.
Avishy Carmi, Eliahu Cohen
doaj   +3 more sources

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
doaj   +1 more source

A Probabilistic Integral Study of Quasiproduct Overa Nonadditive 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
doaj   +1 more source

Non-Additive Quantity Measurement Model

Devices and Methods of Measurements, 2022
This work considers a model for measuring non-additive quantities, in particular a model for subjective measurement. The purpose of this work was to develop the measurement theory and form of a measurement model that uses the corrected S. Stevens measurement model.A generalized structure was considered that included an empirical system, a mathematical ...
Romanchak, V. M., Serenkov, P. S.
openaire   +3 more sources