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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 [PDF]
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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On the f -divergence for non-additive measures
Fuzzy Sets and Systems, 2016 The f-divergence evaluates the dissimilarity between two probability distributions defined in terms of the Radon-Nikodym derivative of these two probabilities. The f-divergence generalizes the Hellinger distance and the Kullback-Leibler divergence among other divergence functions. In this paper we define an analogous function for non-additive measures.
Vicenç Torra +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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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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On Independence for Non-Additive Measures, with a Fubini Theorem [PDF]
Journal of Economic Theory, 1997 Submitted - sswp940 ...
P. Ghirardato
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Coherent updating of non-additive measures
International Journal of Approximate Reasoning, 2015 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Enrique Miranda 0001, Ignacio Montes
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Use and Applications of Non-Additive Measures and Integrals
, 2014 Non-additive measures (also known as fuzzy measures and capacities) and integrals have been used in several types of applications. In this chapter we review the main definitions related to these measures, motivate their use from the point of view of the applications, and describe their use in different contexts. © 2014 Springer International Publishing
V. Torra
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Flexible statistical approaches for modeling nonlinear relationships in diabetes prediction using splines, Bayesian kernel regression and Bayesian regression trees [PDF]
Discover AnalyticsModeling nonlinear relationships is a fundamental challenge in statistical analysis, particularly when predictors exhibit complex and interacting effects on outcomes.
Thimani Dananjana Ranathungage +2 more
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Non-additive measures for quantum probability?
It is well-established that quantum probability does not follow classical Kolmogorov probability calculus. Various approaches have been developed to loosen the axioms, of which the use of signed measures is the most successful (e.g. the Wigner quasiprobability distribution).
Carcassi, Gabriele, Aidala, Christine A.
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