The geometry of consonant belief functions: simplicial complexes of necessity measures

DOI10.1016/j.fss.2009.09.024zbMath1207.68385OpenAlexW1967004404MaRDI QIDQ969574

Fabio Cuzzolin

Publication date: 7 May 2010

Published in: Fuzzy Sets and Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.fss.2009.09.024

zbMATH Keywords

geometric approachsimplicial complextheory of evidencenecessity measuresconsonant belief functionsouter consonant approximations

Mathematics Subject Classification ID

Reasoning under uncertainty in the context of artificial intelligence (68T37)

Related Items (11)

Scoring rules for belief functions and imprecise probabilities: a comparison ⋮ On the fiber bundle structure of the space of belief functions ⋮ Geometry of relative plausibility and relative belief of singletons ⋮ Generalized Bayesian inference in a fuzzy context: from theory to a virtual reality application ⋮ On the relative belief transform ⋮ On Consistent Approximations of Belief Functions in the Mass Space ⋮ Towards an Alarm for Opposition Conflict in a Conjunctive Combination of Belief Functions ⋮ Complexes of Outer Consonant Approximations ⋮ Towards a Conflicting Part of a Belief Function ⋮ Normal cones corresponding to credal sets of lower probabilities ⋮ Interpreting evidential distances by connecting them to partial orders: application to belief function approximation

Cites Work

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• Consonant approximations of belief functions
• Default reasoning and possibility theory
• Distributive lattices and products of capacities
• Representation and application of fuzzy numbers
• Constructing fuzzy measures in expert systems
• The transferable belief model
• Max-min (\(\sigma\)-)additive representation of monotone measures
• Cores of cooperative games, superdifferentials of functions, and the Minkowski difference of sets
• A philosophical foundation of non-additive measure and probability
• Data association in multi-target detection using the transferable belief model
• The entailment principle for dempster—shafer granules

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