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EGOROFF'S THEOREM ON MONOTONE NON-ADDITIVE MEASURE SPACES
International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems, 2004In this paper, the well-known Egoroff's theorem in classical measure theory is established on monotone non-additive measure spaces. Taylor's theorem, which concerns almost everywhere convergence of measurable function sequence in classical measure theory, is also generalized.
Li, Jun, Yasuda, Masami
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Lebesgue theorems in non-additive measure theory
Fuzzy Sets and Systems, 2005zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Song, Jinjie, Li, Jun
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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.
K. Fujimoto
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On the polytope of non-additive measures
Fuzzy Sets and Systems, 2008 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Combarro, Elías F., Miranda, Pedro
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Regular non-additive measure and Choquet integral
Fuzzy Sets and Systems, 2004zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Y. Narukawa, T. Murofushi
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On the f-divergence for discrete non-additive measures
Information Sciences, 2020Distances of probability measures, including f-divergences, Hellinger distance, Kullback-Leibler divergence, etc., play an important role in information theory and statistics. In several cases, the connection between these distances and Radon-Nikodym derivatives is exploited.
Torra, Vicenç +2 more
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