On the fiber bundle structure of the space of belief functions

DOI10.1007/s00026-014-0221-1zbMath1311.60010OpenAlexW2078096376MaRDI QIDQ404467

Fabio Cuzzolin

Publication date: 4 September 2014

Published in: Annals of Combinatorics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00026-014-0221-1

zbMATH Keywords

simplexbelief spacebelief functionsmooth fiber bundlesum functions

Mathematics Subject Classification ID

Factorials, binomial coefficients, combinatorial functions (05A10) Theory of fuzzy sets, etc. (03E72) Foundations of probability theory (60A99) Polytopes and polyhedra (52B99) Fiber bundles in algebraic topology (55R10)

Cites Work

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• On the relative belief transform
• Geometry of relative plausibility and relative belief of singletons
• The geometry of consonant belief functions: simplicial complexes of necessity measures
• On random sets and belief functions
• The transferable belief model
• Upper and Lower Probabilities Induced by a Multivalued Mapping

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