Results 11 to 20 of about 12,550,101 (310)
A Philosophical Foundation of Non-Additive Measure and Probability [PDF]
Theory and Decision, 2006 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. Drawing upon a concept called "quasi-analysis" of the philosopher Rudolf Carnap, we introduce a transform for sets, functions, and set functions to formalize this idea.
Sebastian Maaß, Maaß, Sebastian
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Approximation of capacities with additive measures
Karpatsʹkì Matematičnì Publìkacìï, 2017 For a space of non-additive regular measures on a metric compactum with the Prokhorov-style metric, it is shown that the problem of approximation of arbitrary measure with an additive measure on a fixed finite subspace reduces to linear optimization ...
O.R. Nykyforchyn, I.D. Hlushak
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Acta Universitatis Agriculturae et Silviculturae Mendelianae Brunensis, 2011 The paper deals with theoretical conception of value analysis of regions, municipal corporations and clusters. The subject of this paper is heterodox approach to sensitivity analysis of finite set of variables based on non-additive measure.
Mojmír Sabolovič
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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.
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Inequalities in Riemann–Lebesgue Integrability
Mathematics, 2023 In this paper, we prove some inequalities for Riemann–Lebesgue integrable functions when the considered integration is obtained via a non-additive measure, including the reverse Hölder inequality and the reverse Minkowski inequality.
Anca Croitoru +3 more
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The Choquet integral of log-convex functions
Journal of Inequalities and Applications, 2018 In this paper we investigate the upper bound and the lower bound of the Choquet integral for log-convex functions. Firstly, for a monotone log-convex function, we state the similar Hadamard inequality of the Choquet integral in the framework of distorted
Hongxia Wang
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Mostar index of graphs associated to groups
Main Group Metal Chemistry, 2022 A bond-additive connectivity index, named as the Mostar index, is used to measure the amount of peripheral edges of a simple connected graph, where a peripheral edge in a graph is an edge whose one end vertex has more number of vertices closer as ...
Rehman Masood Ur +4 more
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Circular Correntropy: Definition and Application in Impulsive Noise Environments
IEEE Access, 2022 Circular statistics has been applied to several areas of knowledge in which the input data is circular or directional. Noisy measurements are still a problem in circular data applications and, like non-circular data, second-order statistics have some ...
Manoel B. L. Aquino +5 more
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