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Non-additive Measures, Envelopes and Extensions to Quasi-Measures

Sarajevo Journal of Mathematics
In 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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The Egoroff theorem for non-additive measures in Riesz spaces

Fuzzy Sets and Systems, 2006
For a \(\sigma\)-algebra \(\mathcal{F}\) on a set \(X\) and a Riesz space \(V\), an increasing mapping \(\mu: \mathcal{F} \to V\), with \( \mu(\emptyset) =0\) is called a non-additive measure. \(\mu\) is called continuous from below if \( A_{n} \downarrow A \) implies \(\mu( A_{n}) \downarrow \mu( A)\), and continuous from above if \( A_{n} \uparrow A \
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Cooperative Game as Non-Additive Measure

2014
This 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

2010
This 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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Progress and challenges towards additive manufacturing of SiC ceramic

Journal of Advanced Ceramics, 2021
Daining Fang, Rujie He, Keqiang Zhang
exaly  

Theory and Applications of Non-additive Measures and Corresponding Integrals

2013
It 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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Additive manufacturing of metals: Microstructure evolution and multistage control

Journal of Materials Science and Technology, 2022
Zhangwei Chen, Zhao-Ping Lu
exaly  

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