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Non-additive Measures, Envelopes and Extensions to Quasi-Measures
Sarajevo Journal of MathematicsIn the present paper, we introduce the notions of lower envelope and upper envelope for a [0, $\infty$]-valued function $\mu$ defined on a proper sublattice $M$ of a locally complete $\sigma$-continuous lattice $L$, and we extend a finite-stable, supermodular usc-measure $\mu$ on a proper sublattice $M$ of $L$ to a quasi$^{*}$-measure (i.e., a ...
Mona Khare, Soni Gupta
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Cooperative Game as Non-Additive Measure
2014This chapter surveys cooperative game theory as an important application based on non-additive measures. In ordinary cooperative game theory, it is implicitly assumed that all coalitions of N can be formed; however, this is in general not the case. Let us elaborate on this, and distinguish several cases: 1) Some coalitions may not be meaningful.
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A Study of Riesz Space-Valued Non-additive Measures
2010This paper gives a short survey of our recent developments in Riesz space-valued non-additive measure theory and contains the following topics: the Egoroff theorem, the Lebesgue theorem, the Riesz theorem, the Lusin theorem, and the Alexandroff theorem.
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Theory and Applications of Non-additive Measures and Corresponding Integrals
2013It is given an short overview of some recent results in the theory of non-additive measures and corresponding integrals. It is presented the universal integral, which include among others, Lebesgue, Choquet, Sugeno, pseudo---additive, Shilkret integrals. Related pseudo-integral a generalization of L p space is introduced.
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Model of non-additive H-measure
2013Запропоновано модель неадитивної H-міри, в якій невизначеність визначається ентропією переваг або суб’єктивних вірогідностей. Модель H-міри добре компонується з принципом максимума ентропії Джейнса, а також з принципом максимума суб’єктивної ентропії.
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On the structure of the k-additive fuzzy measures
Fuzzy Sets and Systems, 2010Pedro Miranda, Elias F Combarro
exaly
A modified Kullback–Leibler divergence for non-additive measures based on Choquet integral
Fuzzy Sets and Systems, 2019Hamzeh Agahi
exaly

