Totally monotone core and products of monotone measures

DOI10.1016/S0888-613X(00)00039-6zbMath0994.28010OpenAlexW2086266444MaRDI QIDQ1605691

Dieter Denneberg

Publication date: 23 July 2002

Published in: International Journal of Approximate Reasoning (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0888-613x(00)00039-6

zbMATH Keywords

Möbius productnon-additive monotone measurestotally monotone measures

Mathematics Subject Classification ID

Cooperative games (91A12) Contents, measures, outer measures, capacities (28A12) Fuzzy measure theory (28E10) Measures and integrals in product spaces (28A35)

Related Items (9)

Fuzzy measures and generalized Möbius transform ⋮ Products of non-additive measures: a Fubini-like theorem ⋮ Max-min (\(\sigma\)-)additive representation of monotone measures ⋮ Maximization of the Choquet integral over a convex set and its application to resource allocation problems ⋮ Products of capacities on separate spaces through additive measures ⋮ A philosophical foundation of non-additive measure and probability ⋮ Products of Capacities Derived from Additive Measures ⋮ Conditional expectation for monotone measures, the discrete case ⋮ Regularity of fuzzy measures on complete and separable metric spaces

Cites Work

• Distributive lattices and products of capacities
• The product of capacities and belief functions
• Conditioning (updating) non-additive measures
• Unnamed Item

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