Distributive lattices and products of capacities

DOI10.1006/jmaa.1997.5830zbMath0910.06007OpenAlexW2055815544MaRDI QIDQ1269680

Gleb A. Koshevoy

Publication date: 26 October 1998

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jmaa.1997.5830

zbMATH Keywords

Möbius functiongeometrical realization of a distributive latticeproduct of capacities

Mathematics Subject Classification ID

Contents, measures, outer measures, capacities (28A12) Structure and representation theory of distributive lattices (06D05)

Related Items (15)

Characterizing isometries on the order polytope with an application to the theory of fuzzy measures ⋮ Laws of large numbers without additivity ⋮ Products of non-additive measures: a Fubini-like theorem ⋮ Bounds on Choquet risk measures in finite product spaces with ambiguous marginals ⋮ On random generation of fuzzy measures ⋮ Bipolarization of posets and natural interpolation ⋮ The geometry of consonant belief functions: simplicial complexes of necessity measures ⋮ Products of capacities on separate spaces through additive measures ⋮ Adjacency on the order polytope with applications to the theory of fuzzy measures ⋮ A philosophical foundation of non-additive measure and probability ⋮ Applying Young diagrams to 2-symmetric fuzzy measures with an application to general fuzzy measures ⋮ ON THE POLYTOPES OF BELIEF AND PLAUSIBILITY FUNCTIONS ⋮ Products of Capacities Derived from Additive Measures ⋮ Conditional expectation for monotone measures, the discrete case ⋮ Totally monotone core and products of monotone measures

Cites Work

• The product of capacities and belief functions
• Theory of capacities
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