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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 Philosophical Foundation of Non-Additive Measure and Probability [PDF]
Theory and Decision, 2018 In this paper, non-additivity of a set function is interpreted as a method to express relations between sets which are not modeled in a set theoretic way.
Maaß, Sebastian
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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
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Additivity and non-additivity of multipartite entanglement measures [PDF]
New Journal of Physics, 2010 We study the additivity property of three multipartite entanglement measures, i.e. the geometric measure of entanglement (GM), the relative entropy of entanglement and the logarithmic global robustness. First, we show the additivity of GM of multipartite
Acín A +31 more
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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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Egoroff's theorems for random sets on non-additive measure spaces
AIMS Mathematics, 2021 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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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.
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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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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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