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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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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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Model of non-additive H-measure

2013
Запропоновано 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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